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quant-ph9712055.txt |@word represent:4 sci:2 consider:4 chain:4 results:4 go:2 follow:1 reasoning:2 inferences:9 graph:9 presents:1 finally:4 spain:1 analogous:2 case:17 orthogonal:19 far:1 geometrical:9 every:6 orientations:2 decide:2 summarized:2 condition:5 branca:1 presented:4 ref:1 large:1 vector:1 math:1 der:1 sin2:2 prediction:1 zero:4 design:1 dordrecht:2 greenberger:1 specker:5 even:1 plays:2 appear:1 sum:2 analogously:3 find:4 experiment:4 goes:3 new:6 ˆj:2 ˆk:1 acknowledgments:1 contrast:2 developments:1 satisfy:4 edited:2 degree:1 respectively:2 never:3 component:3 here:2 reported:1 cos2:2 address:1 represented:3 luis:1 change:2 obtained:2 involved:1 vectors:5 allows:4 contradiction:7 published:2 usually:1 triad:3 implement:1 changes:1 composed:1 adjustable:1 followed:1 explained:1 polarizers:1 outcomes:4 elude:1 hardy:24 cons:2 ıa:2 use:5 would:8 probabilities:3 contains:3 predictions:12 properties:10 explicitly:3 therefore:18 associated:1 until:1 diagrams:1 more:7 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quant-ph9801001.txt |@word pointed:1 varying:1 lemmens:2 stability:3 paper:3 grateful:1 scattering:2 ground:1 dimensionality:2 number:4 la:1 interesting:1 boson:1 jan:1 only:1 lifts:1 attractive:5 stable:2 mail:1 di:5 functional:1 repulsive:3 probably:1 confined:3 mod:1 leads:1 marzolo:1 arxiv:1 acknowledgments:1 minimizing:1 unstable:1 trap:3 sezione:1 2m:1 universit:1 mean:2 ed:1 energy:1 sov:1 lett:1 applicata:1 zero:5 radius:3 result:2 discussions:1 our:4 out:2 pronounced:1 leak:1 nuovo:1 per:1 particles:1 state:1 istituto:2 reply:1 increasing:2 ref:1 correct:1 luca:1 condensed:1 jp:1 bn:1 mω:1 fisica:2 instability:1 analyzed:1 bose:3 devreese:2 implicit:1 interaction:8 r2:1 studied:3 range:5 published:1 pitaevskii:1 condensate:5 comment:3 via:3 h2:1 prof:2 harmonic:2 three:1 dimensional:2 references:1 decreases:1 einstein:2 unit:1 clustering:1 given:1 jetp:1 second:1 dipartimento:1 there:2 system:4 their:2 bosons:4 length:1 ph:5 more:1 metastable:2 reatto:1 gas:1 but:2 part:1 external:1 matematica:1 authors:2 known:2 role:2 than:1 padova:5 case:2 infn:1 pacs:1 bec:8 cimento:1 maximum:1 amplitude:1 demonstrate:1 stimulating:1 della:1 claim:1 milano:2 abstract:1 minimum:1 numbers:1 nazionale:2 regime:1 celoria:1 italy:3 author:1 wavefunction:1 detail:1 pura:1 potential:1 quant:5 spatial:1 grows:1 metastability:3 gross:1 replacing:1 materia:1 v0:2 important:1 fi:1 wave:1 recent:1 stress:1 short:1 nucleare:1 well:2 obviously:1 paper1:2 salasnich:3 dimension:1 parola:1
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quant-ph9801005.txt |@word indeed:1 workshops:1 results:1 indistinguishable:2 distant:1 signs:1 japan:1 fidelity:7 find:1 perfect:4 massar:1 derive:2 group:1 parameters:1 density:1 relativity:3 written:1 than:1 jan:1 finally:1 does:1 lett:3 factor:1 input:3 participants:1 local:1 weber:1 do:3 non:3 mixture:2 nuov:1 around:1 notation:1 read:1 tjk:2 corresponds:1 cannot:3 kamefuchi:1 private:1 guide:1 isi:1 rotation:2 now:1 new:1 condition:6 february:1 particle:3 presented:1 numerous:1 university:1 arxiv:1 t2:1 wooters:1 vector:1 coexistence:2 arbitrary:2 switzerland:1 output:4 soc:1 european:1 sponsored:1 signal:1 proof:1 fulfil:1 upper:1 right:1 txy:3 exists:1 foundation:1 ed:1 national:1 some:1 hillery:5 second:2 been:1 cloning:5 measurement:2 quantum:13 our:1 sufficient:1 nonlocality:1 machines:2 out:1 shown:1 matrix:1 space:1 shrinking:1 positivity:1 rev:2 fmax:1 state:6 imposes:2 bruno:1 between:4 invariant:1 conditions:2 acknowledgments:1 contradicting:1 full:1 linear:1 mσ:3 nature:1 qubits:2 however:3 here:1 equals:1 broken:1 ρin:3 eigenvalues:2 distinguish:1 based:1 prepared:2 hilbert:1 σk:1 both:1 last:1 r1:1 r2:1 constraint:2 many:1 could:3 vectors:1 allows:1 example:3 compatible:2 σz:4 σy:4 σx:4 context:1 act:1 consequence:1 quite:1 qubit:1 definition:1 bloch:3 relation:2 first:1 buˇzek:5 already:1 tyz:1 probability:1 simple:1 communication:1 ηmax:2 powerful:1 bound:3 bruss:1 huttner:1 dimensional:1 directions:1 turns:1 general:1 references:1 txz:1 another:1 txx:3 operator:1 quality:1 use:1 rigo:1 would:4 similarly:1 support:1 negative:1 fast:2 way:1 peaceful:2 ph:3 universal:1 qcm:14 more:1 rimini:1 obtained:2 direction:3 corresponding:4 hypothetical:2 geneva:2 σj:1 operators:1 under:2 covariance:1 but:3 optimality:1 signaling:10 particular:2 foundations:1 line:1 given:2 spin:4 themselves:1 present:1 applied:1 distance:2 intriguing:1 limits:1 tokyo:1 science:1 cim:1 work:1 discussions:1 maximum:2 us:1 acting:2 property:1 distinguished:2 stimulating:1 gisin:4 mechanics:6 unitary:1 werner:1 generality:1 process:1 tzx:1 abstract:1 tzz:6 thus:2 them:1 denote:1 states:4 sphere:1 proves:1 exist:3 further:1 bechmann:1 imperfect:1 border:1 any:3 again:1 different:3 ρout:17 straightforward:1 locality:1 provide:1 technology:1 ghirardi:1 cross:1 same:3 stimulated:1 quant:3 emphasize:1 pure:1 mixtures:5 bailey:1 optimal:1 zurek:1 higher:1 profited:1 used:4 see:2 information:1 tmr:1 singlet:1 hence:1 tyx:1 tyy:2 letter:1 network:1 value:1 independently:1 implies:2 assume:3 light:1 gratefully:1 no:6 acknowledged:1 2mσ:1 without:1 allow:1 swiss:1 physics:2 shimony:1 fact:1 once:1
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quant-ph9801006.txt |@word partial:1 switched:1 caused:3 both:3 results:4 existing:1 pulsing:3 daytime:1 milonni:1 implement:1 revealed:1 causes:1 amplification:1 alamos:3 send:3 finally:1 program:1 those:1 th:1 under:3 include:1 division:1 indoor:2 string:3 impinges:1 orthogonal:2 hughes:4 wave:6 wishes:1 every:2 affect:1 dim:20 perceived:1 pbs:11 level:1 transmission:3 notes:1 pacs:1 eve:8 large:1 rev:3 optics:2 noted:1 configurations:1 direct:4 pulse:40 feasibility:2 rate:13 noise:4 design:2 traveling:4 earth:1 further:3 implemented:4 errors:15 developed:1 sub:1 opaque:1 selected:1 contributed:1 cell:1 experiment:4 dieks:1 international:1 appeal:1 method:3 contrast:1 led:1 exchange:1 never:2 here:3 reported:1 protection:1 operating:3 groups:1 others:1 active:1 path:20 along:7 coupling:2 sending:1 luther:4 vernam:2 sender:1 losses:1 allows:1 accomplished:1 resulting:1 launched:3 poisson:4 california:1 bob:24 birefringent:1 makes:1 ofsight:1 regardless:1 secure:2 problematic:1 app:1 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quant-ph9801009.txt |@word secondly:1 measurements:1 partial:1 consider:8 results:1 four:4 generalize:2 go:1 whose:1 dimensionality:1 depend:8 producing:1 tr:3 acting:2 nonlocal:5 finally:3 according:1 restriction:1 those:1 td:1 must:1 indicating:1 applied:1 amplitudes:1 orthogonal:1 very:1 bratislava:2 print:3 decide:1 difference:1 condition:7 entire:1 obvious:1 presented:4 knight:2 t2:1 dϑ:1 large:2 spaces:2 math:2 science:1 zero:1 eigenvalues:7 equation:2 smaller:1 hillery:6 second:1 design:2 rigorous:1 implemented:1 targets:1 machines:2 even:2 will:16 what:5 redistributed:1 plays:2 appear:1 section:7 expressed:4 uniform:1 3n:2 goes:1 designing:1 new:1 increasing:2 preserved:1 contrast:1 satisfy:4 edited:1 bruß:3 simultaneously:2 degree:2 ρam:1 respectively:1 retrieval:1 teleportation:1 here:5 ρaj:3 objects:1 operating:1 ansatz:1 const:1 equations:1 ensembles:2 box:1 ba0:1 rigorously:1 institute:1 popescu:2 vectors:9 prior:3 simultaneous:1 schumacher:2 action:7 implement:2 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quant-ph9801010.txt |@word consider:3 chain:1 rx:1 magnetic:26 coordinations:5 leads:3 roy:1 gd:2 parameterization:1 centers:1 localized:2 relationships:1 inverse:4 depend:2 irrelevant:1 equivalence:1 groundstate:1 environment:1 tm:2 present:1 under:2 γc:1 tb:4 degeneration:1 applied:2 kπ:1 g0:5 frequencies:1 wave:1 fall:1 experimentally:2 difference:1 exact:1 hamiltonian:11 positions:7 anisotropy:1 pokrovsky:1 large:8 vector:3 small:1 eigenvalues:2 degeneracy:4 dilute:1 specially:1 sin2:4 sign:3 fold:28 second:2 earth:2 further:1 odd:4 even:4 what:1 deliberate:1 diag:1 3w:8 expressed:1 gj:3 3k:1 3j:1 experiment:1 3n:9 above:1 susceptibility:13 values:5 falling:1 edited:1 full:1 respectively:3 gathered:1 here:1 cos2:1 bravais:1 directions:2 path:3 along:7 quite:1 equations:3 change:4 divisor:1 institute:1 shift:3 leaves:2 studied:1 allows:1 simultaneous:1 permutation:1 action:1 symmetrical:1 conveniently:1 φki:1 divide:1 family:2 extra:1 planar:1 apply:1 unit:9 predicted:1 proceed:1 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quant-ph9801011.txt |@word represent:1 consider:1 looking:1 certainly:2 nonlocal:3 finally:1 under:1 analogous:2 include:1 far:1 emphasizes:1 every:4 difference:1 condition:1 presented:1 issue:3 consistent:1 past:1 zero:1 incidentally:1 further:1 what:6 incompatible:3 specification:5 agrees:5 version:3 reply:2 chose:1 here:4 understanding:1 berkeley:2 appears:1 change:1 suggestion:1 action:1 hospitality:1 adopting:1 involves:2 criticism:1 useful:2 requiring:1 merely:1 explained:1 outcomes:1 hardy:6 tp:1 use:1 would:5 predictions:1 noting:1 call:1 therefore:1 criteria:1 tell:1 more:2 separated:2 lightcone:3 glass:1 particular:3 must:4 word:1 theories:2 values:1 henry:1 example:2 proof:2 claim:2 give:2 calculation:2 relativistic:2 sense:1 carroll:1 involve:1 lorentz:1 performed:1 allowed:3 occur:1 rather:3 discussion:6 means:1 evidently:1 regions:1 how:1 instead:1 may:2 earlier:1 fits:1 remember:2 so:3 specifying:1 allow:1 things:1 definitions:3 sf:22 talk:2 replied:1 interpretation:1 help:1 symbols:1 course:2 experiments:1 through:1 letters:1 its:2 acknowledge:1 choose:3 constitutes:1 mail:1 might:2 non:3 good:1 motivated:1 conversations:1 spell:2 they:1 now:3 discuss:3 nor:2 january:1 university:1 possibilities:1 realistic:2 l2:43 truth:4 l1:17 found:1 mean:7 idea:2 macmillan:1 measure:1 quantum:14 laboratory:2 event:2 out:3 since:4 rev:1 denotes:1 particles:5 critics:2 suggesting:1 gov:1 ref:3 correct:3 shows:1 after:2 theory:5 lawrence:2 free:2 completely:2 definition:8 r1:19 r2:13 ata:1 could:3 benefited:1 probability:1 another:1 given:1 necessarily:3 guest:1 similarly:2 eqs:1 unruh:6 needed:1 assumption:1 statement:17 frame:2 speaking:1 hypothetical:20 relationship:1 behind:2 exactly:2 proving:1 representing:1 than:4 specify:3 distance:1 matter:1 future:1 were:1 false:7 san:2 seem:2 counterfactuals:1 clearly:1 mermin:9 note:6 stapp:16 any:1 most:1 sb:17 measured:15 why:1 clear:1 adopt:1 coincides:1 principle:1 left:5 physics:1 show:1 violation:1 agreed:2 relation:1 find:1 causality:2 quoted:1 writes:1 assertion:2 jan:1 only:1 explicitly:1 local:2 dispute:1 do:2 his:4 quantph:2 get:1 yielded:1 criticized:1 cannot:1 closely:1 him:1 arxiv:1 london:1 discussing:1 reveals:1 set:3 national:2 see:3 result:29 nonlocality:1 ways:3 illusory:1 state:8 between:3 invariant:3 neither:1 conditions:2 jos:2 terms:1 nature:1 however:3 both:1 region:2 agree:8 participating:1 comment:1 mechanics:3 relevant:2 co:1 point:1 had:1 ca:1 whatever:1 simply:1 applicability:1 considers:2 been:3 ph:5 differently:1 influence:1 else:1 assert:1 demand:1 denote:4 irrelevant:1 those:1 case:1 advocating:1 will:4 while:1 precede:1 spacelike:2 refs:1 thus:3 claimed:1 different:3 perhaps:1 suggest:2 make:2 same:4 lbl:1 strange:1 quant:5 emphasize:1 events:6 difficult:1 used:2 upon:1 acknowledgement:1 nevertheless:1 no:2 epr:1 roughly:1 bohr:2 without:1 claims:1 usual:1 facto:1 just:3 less:1 being:1 captures:1 aspect:1 alternative:2 yet:1 character:3 except:1 interprets:1 identical:1 ight:1 around:1 possible:2 entangled:1 confined:1 world:41 necessary:3 like:2 follows:1 alice:1 yields:3 either:6 fully:1 replacement:1 right:7 people:1 some:3 understood:3 specified:1 happens:1 describing:1 decision:1 measurements:2 counterfactual:1 does:5 agreement:2 although:1 properties:2 constrains:1 about:2 actual:17 discussed:2 compatible:1 introduced:1 statements:3 within:1 references:1 unambiguous:2 strictly:1 there:4 way:2 forward:1 analyze:1 was:1 opposed:1 complete:1 but:3 principles:2 true:8 considerable:1 he:4 made:1 whether:3 wish:1 us:1 below:1 define:1 called:5 strongly:1 defined:2 abstract:1 measurement:7 am:3 proven:1 general:1 physical:2 again:2 completeness:1 locality:5 when:1 other:1 department:1 meaning:13 important:2 implies:1 calls:1 required:4 remarked:1 backward:2 requires:2
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quant-ph9801012.txt |@word limited:1 code:25 consider:6 remarkable:1 represent:3 caused:1 tamagawa:3 shor:1 leads:2 drastically:1 entropy:1 per:4 computation:2 kato:1 consists:4 expressions:1 causes:1 equiprobable:1 devoted:2 whose:2 calculate:1 aug:1 i2:26 33a:1 concerned:1 tr:9 kentaro:1 29a:1 finally:1 according:3 those:1 th:7 under:1 must:3 worth:1 sent:5 inform:2 case:20 risk:2 g1:2 orthogonal:5 very:3 bm:5 polarization:1 choice:1 every:1 suggests:1 overcomes:1 associated:2 difference:6 matrices:5 condition:8 ibm:1 dim:6 obvious:1 34a:1 34b:1 presented:1 transmission:13 cause:1 posts:1 occurs:1 minimization:1 discrete:1 skipped:1 vector:1 phase:1 small:2 generalize:1 anal:1 ρk:2 still:3 upper:1 smaller:2 says:1 direct:2 hitachi:1 likely:2 cost:2 design:1 rigorous:1 further:2 dynamics:1 gm:2 peredachi:2 even:6 established:2 what:3 ˆs:75 plays:1 appear:6 giving:2 assisted:1 selected:4 43b:1 3v:1 decoding:40 above:15 sup:19 new:4 ˆj:5 ˆk:1 ˆl:1 method:3 implementable:1 revealing:1 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quant-ph9801013.txt |@word secondly:1 sci:1 consider:5 caused:1 magnetic:7 global:9 roy:4 disc:1 comments:1 follow:1 expressions:1 causes:1 seemed:1 simon:4 overlapping:1 calculate:1 concerned:2 ıa:2 charge:1 γn:13 under:4 reuter:1 differing:1 brown:2 expressing:1 straightforward:2 orthogonal:1 very:2 springer:3 wave:14 every:1 noncyclic:67 experimentally:2 exact:1 condition:1 discovered:1 higgins:4 hamiltonian:6 zeit:1 proposals:1 solution:6 large:1 discrete:1 convenience:1 vector:10 eigenvalues:1 optics:1 degeneracy:1 measuring:2 encloses:1 des:1 neighborhood:1 sign:13 approximation:5 second:2 street:1 perspective:3 surface:3 further:1 dynamics:1 wenner:1 gerlach:1 situated:1 even:1 what:1 sub:2 ˆx:3 ˆy:2 section:4 expressed:1 find:1 experiment:7 localized:1 above:1 fractional:1 new:3 scr:1 equivalent:1 edited:1 christian:2 henrik:1 modify:1 equals:1 here:6 understanding:1 met:1 cylindrical:1 galilean:2 alone:1 path:20 along:4 observing:1 appears:1 change:19 wait:1 obtained:2 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quant-ph9801014.txt |@word epeau:1 consider:3 primed:1 ψcm:1 whose:1 depend:1 violate:2 send:2 sent:2 evolves:1 very:1 choice:2 superluminally:3 annihilated:1 transmission:1 turns:1 michael:1 leave:1 possiblity:1 illustrating:1 consistent:1 pass:1 linear:2 even:2 apparatus:2 decade:1 new:2 acknowledgments:1 teleportation:8 here:2 separation:2 along:1 taylor:1 sending:3 sender:1 larger:1 allows:1 simultaneous:2 schumacher:2 action:1 bob:14 spacetime:3 useful:1 outcomes:1 brought:1 causal:1 proceed:1 usa:2 distinct:2 positive:1 therefore:1 taken:1 diagrams:1 sort:1 initial:2 operators:1 odinger:1 particular:1 known:2 hold:2 kenyon:1 states:5 equation:1 westmoreland:1 concepts:1 following:1 example:1 proof:1 figure:1 process:3 exploit:1 bennett:1 share:1 involve:1 numbers:1 exclude:1 occur:1 information:5 respective:1 end:1 carriers:1 travel:1 holds:1 feature:1 maps:1 granville:1 answer:1 ordinary:1 brassard:1 map:1 mar:1 communicating:1 may:4 clone:1 after:2 wrong:1 light:2 so:2 allow:2 enk:1 indeed:1 pointed:1 paper:3 statistical:1 hypersurface:1 argued:1 existence:2 still:1 before:2 thank:1 how:1 relativity:2 destroyed:1 systems:2 persist:1 might:1 conveying:1 them:1 they:1 university:1 transmitted:1 mean:1 prohibit:1 receipt:1 unprimed:1 precedes:2 measurement:6 quantum:25 our:5 event:6 out:2 large:2 space:1 since:4 shows:1 benjamin:1 theory:2 standard:1 completely:1 york:1 imagine:2 jozsa:1 forbids:1 interaction:1 created:1 could:5 messages:2 caption:1 place:1 hence:1 think:1 already:1 probability:1 done:2 impossible:3 message:6 precisely:1 reference:5 unknown:2 system:5 unspecified:1 their:1 wootters:4 bits:1 final:2 testing:1 exactly:1 authors:2 copy:2 than:1 distance:2 scheme:4 were:1 providing:1 result:3 san:1 ψab:2 argument:4 null:1 tells:1 able:1 note:2 sciences:1 simultaneity:1 though:1 measures:1 singlet:3 most:1 nothing:1 dordrecht:1 clear:1 stronger:1 traditional:1 points:1 principle:1 refining:1 physics:2 fact:2 laws:1 show:3 find:1 paradoxes:1 based:3 state:31 should:1 only:1 constant:2 his:2 means:3 zurek:2 joint:2 cannot:4 shared:1 dv:1 during:1 evolution:5 arxiv:1 constructing:1 exists:1 frame:7 correlations:1 see:1 college:1 cloning:17 discussions:1 review:2 qubits:9 enough:2 various:1 john:1 between:4 publishers:1 nature:1 initially:1 however:1 improve:1 suggested:1 both:4 kluwer:1 0y:4 according:1 against:2 receiver:1 qubit:8 0m:4 bell:1 simple:1 cy:3 cx:4 simply:1 cr:1 described:1 capable:1 copies:1 been:2 faithfully:1 combined:1 ph:2 choose:1 observable:1 wheeler:2 maximally:1 pacs:1 transformation:2 will:2 while:1 suppose:2 real:1 unitary:3 spacelike:2 freeman:2 thus:5 ii:11 itself:1 verified:1 perform:3 same:3 any:5 φb:2 φc:4 quant:2 arguments:1 copying:2 physical:2 events:5 used:7 uses:1 purpose:1 entanglement:7 schr:1 possibly:1 modeled:1 well:2 academic:1 gambier:1 know:1 exploits:1 mills:1 valuable:1 reviewed:1 immediately:2 eigenstates:1 preprint:1 superluminal:10 density:1 signals:4 transformed:1 theorem:8 input:6 denison:1 identical:2 tests:1 big:1 posed:1 possible:1 test:1 entangled:6 using:3 bit:1 helpful:1 alice:14 either:1 arbitrary:2 essential:1 spins:1 mathematical:1 methods:1 classical:14 some:5 francisco:1 convey:1 provided:1 describing:1 undisturbed:1 confirm:1 measurements:3 manipulations:1 does:1 conveyed:1 bx:6 properties:1 bz:1 stage:1 about:1 would:2 oh:2 instantaneously:2 universe:1 considerations:1 letters:1 communication:4 into:3 three:1 pair:4 appropriate:1 references:1 elementary:1 van:1 her:1 transfer:1 there:3 question:1 quanta:1 was:1 converse:1 cloned:2 true:1 copied:1 consist:1 whether:2 wish:1 distinguishability:1 us:1 piece:1 similar:1 called:1 mechanics:10 separated:1 ac:2 ab:3 proved:1 abstract:1 linearity:2 general:3 peres:2 ay:5 ax:9 constructed:1 faithful:1 no:8 generally:1 application:1 valid:1 department:2 nonexistence:1 company:2 elements:1 conveys:1 superposition:2 ago:1 implies:1 faster:1 assume:1 interval:1 together:1 time:8 far:1 original:4
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quant-ph9801015.txt |@word represent:2 schumaker:1 consider:7 alf:1 squared:3 particular:3 results:1 four:1 proposition:12 consists:2 follow:1 toledo:1 compact:2 simon:1 depend:1 aug:1 33a:1 equivalence:9 tr:6 quasi:1 squeezing:2 those:1 th:1 stable:2 maryland:1 18a:2 worth:2 p2:1 lack:1 advantage:2 orthogonal:1 p0k:7 frequencies:2 conditions:3 wave:2 denoted:2 p1:1 every:4 dispersions:2 fall:2 hµν:1 matrices:15 condition:4 common:3 treating:2 annihilated:1 34a:1 solves:1 hamiltonian:26 irreducible:2 solution:8 t0:2 damped:1 try:1 solved:1 commute:1 irreducibly:1 science:2 indices:1 eigenvalues:3 warszawa:1 referred:2 optics:1 possibility:1 strongly:1 zh:1 coordinate:2 10b:1 det:21 10a:3 direct:1 literature:1 iu1:1 second:10 nonhomogeneous:1 faithful:1 dynamics:1 odd:1 canonical:27 even:1 established:5 nonlinear:3 xσ:2 section:5 43b:3 zhang:1 expressed:6 43a:2 above:5 ωk2:1 3b:1 3a:3 waveguide:1 method:4 ρt:2 lee:1 degree:1 respectively:2 component:2 here:3 pumping:1 desired:1 cos2:1 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quant-ph9801016.txt |@word partial:1 consider:2 results:3 leads:3 proposition:1 homomorphism:3 expressions:4 gl:1 nishiyama:13 compact:1 whose:6 compose:1 depend:2 calculate:1 tr:2 γv:1 γu:1 γt:1 kγ:1 finally:2 under:8 kλ:9 analogous:1 tb:2 ta:2 applied:1 belonging:3 orthogonal:3 at1:11 account:3 fǫ:1 matrices:4 condition:1 four:1 annihilated:2 irreducible:21 notes:1 list:1 reminding:3 vector:1 miller:1 consistent:1 second:16 odd:2 linear:4 bilinear:7 established:1 gβδ:4 gβγ:1 sum:1 expressed:1 increasing:1 consisting:1 contrast:1 satisfy:3 simultaneously:2 degree:20 respectively:2 realizations:1 component:2 okubo:2 identifications:2 groups:2 address:1 consideration:1 observing:1 appears:1 deduced:1 box:1 eij:1 antisymmetric:3 institute:2 leaves:1 kβα:7 allows:1 akj:3 aki:1 simultaneous:3 products:3 poisson:2 akl:1 action:6 tβγ:1 cad:1 anticommutators:2 projection:8 explained:1 replace:1 equivariant:2 unit:1 clifford:1 recurrence:1 prove:3 distinct:6 chooses:1 fei:3 anticommutation:1 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quant-ph9801017.txt |@word ptk:2 consider:3 magnetic:17 menon:2 leads:3 commute:4 consists:1 ptj:7 charge:1 huckestein:1 analogous:1 brown:3 orthogonal:5 very:1 translations:2 electron:1 condition:1 four:1 quantized:1 hamiltonian:4 discrete:1 vector:2 indices:1 eigenvalues:1 zero:1 pozna:2 further:1 odd:1 canonical:1 even:1 what:1 expressed:1 uniform:2 version:1 above:1 hfree:1 new:2 acknowledgments:1 movement:5 satisfy:1 respectively:2 magnetism:1 directions:1 equations:8 obtained:3 antisymmetric:4 glm:1 institute:1 inspired:1 vectors:2 allows:2 suggests:1 relation:1 useful:1 polonica:1 working:1 covariant:3 positive:1 therefore:2 introducing:1 started:1 operators:5 particular:1 known:1 cases:1 account:1 mc:1 ndimensional:2 equation:1 work:1 values:1 dec:1 example:1 indicated:1 relativistic:2 cited:1 indicates:1 numbers:3 p03:1 acta:2 blocks:1 singular:1 orbits:2 plane:1 physik:2 date:1 effective:1 greek:2 so:3 definitions:3 kbn:1 course:2 paper:2 motions:2 its:1 interesting:1 coordinates:11 forms:1 defintion:1 choose:1 non:2 introduce:1 landau:3 they:4 always:3 university:1 presented:1 applied:1 each:3 2l:5 2m:4 2n:2 referred:1 ek:2 ej:4 series:1 energy:3 related:1 obtains:4 quantum:1 shown:1 mickiewicz:1 matrix:6 space:4 gradient:1 since:2 rev:4 research:1 ajk:1 papers:1 denoted:1 π2l:12 math:1 marek:1 linear:4 free:5 completely:1 definition:1 pairs:1 determining:1 motion:7 lth:1 first:1 xj:1 xk:11 zak:3 xl:1 variables:2 number:3 πl:1 another:1 clarity:1 given:4 rewritten:1 γjk:1 introduction:1 system:1 relations:1 their:2 nian:1 antisymmetrized:1 convention:1 continuous:1 part:3 authors:1 positively:1 wide:1 determines:1 johnson:4 project:1 determined:5 enables:1 treated:1 distinguished:1 peierls:2 spectrum:3 generalization:1 any:4 note:2 potential:2 electric:1 simplify:1 ht:1 pair:1 commutation:2 considered:1 physica:1 kl:2 proceedings:1 exp:1 χl:9 physics:2 fact:1 thomas:1 supported:1 gauge:7 substituting:2 agrees:1 commutators:1 state:1 only:3 factor:1 constant:4 hamiltonians:1 do:2 notation:3 means:2 express:1 antisymmetrization:1 ones:1 closely:1 dt:1 gen:1 transposition:1 arxiv:1 pioneering:1 set:2 committee:1 exists:1 relative:2 cyclotron:1 tensor:9 definite:2 written:2 approach:2 however:2 bjα:2 jk:3 tensors:1 both:2 many:1 taking:1 equal:2 april:1 whole:1 comment:1 corresponds:2 dimensional:12 pol:1 simply:1 respect:5 throughout:1 considering:1 described:2 basis:8 due:2 been:2 pj:9 pk:2 ph:1 pl:2 define:1 field:13 corresponding:2 concerning:1 agrawal:2 external:1 those:1 case:2 subsets:1 pacs:1 will:1 gnn:1 unitary:1 vol:1 metric:4 them:1 surface:1 movements:3 akj:3 radiation:1 parts:1 quant:1 european:1 independent:2 used:1 moving:1 center:4 poland:1 well:1 charged:4 being:1 obtain:1 hjk:11 conclusions:1 versa:1 transformation:2 momentum:1 decomposed:2 wojciech:1 using:2 mod:1 particle:8 gjj:1 gjk:3 integrals:1 works:2 some:1 lead:1 decomposition:2 conference:1 scientific:1 perpendicular:1 imaginary:1 bz:1 most:1 sake:1 important:2 mixed:1 bloch:1 block:3 considerations:1 letters:1 into:5 within:1 references:1 einstein:1 operator:3 assumed:2 there:2 was:2 function:2 form:5 differences:1 denoting:1 but:3 hl:1 filed:1 subsidiary:1 arranged:1 us:2 problem:1 associated:1 defined:1 ak:2 aj:3 general:4 no:2 whereas:1 when:1 γlm:1 other:4 spatial:1 includes:1 a1:1 a2:1 included:2 vice:1 orbit:3 mass:1 adam:1 time:3
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quant-ph9801018.txt |@word limited:1 magnetic:1 four:5 localized:1 presents:1 neighbours:1 under:3 worth:2 figs:1 fractal:2 vibrational:2 solution:2 vector:3 direct:2 approximation:1 second:6 α2s:1 chen:2 chem:4 even:14 established:1 above:4 new:11 coefficient:2 never:2 here:3 represented:5 obtained:3 rigorously:1 study:6 changed:1 explicited:1 stressed:1 changes:2 projection:2 explained:2 brought:1 visible:3 etries:1 total:1 unit:3 γk:1 would:2 chooses:1 noting:1 call:10 therefore:11 spike:2 until:2 tk:12 separated:1 populations:1 jms:2 hold:1 must:1 work:13 rλ:18 example:6 impose:1 renormalization:1 organized:1 generically:1 involve:1 want:1 validated:1 provide:1 verify:4 how:3 stroh:1 description:1 earlier:1 containing:2 law:1 meaningful:3 parallel:2 constants:3 third:1 order:13 interpretation:6 over:6 satisfied:1 xi:1 satisfies:1 fiz:2 imk:1 better:1 harmonics:6 apogee:1 them:10 combination:2 band:2 effects:7 they:15 eigenvalue:3 δ2k:1 fonda:1 each:5 side:1 mean:3 evolve:3 series:2 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quant-ph9801021.txt |@word consider:10 jatkar:1 nonsingularity:1 results:1 leads:1 roy:3 spiridonov:1 chair:1 worked:1 localized:2 whose:1 inverse:1 depend:2 calculate:6 bx3:1 technique:2 quasi:5 those:6 th:1 worth:2 far:2 3ab:1 wave:19 witten:1 exact:1 condition:7 four:1 hamiltonian:5 pacs:1 solution:3 solved:5 eigenvalues:1 nizk:2 zh:2 specially:1 sukhatme:3 dutra:1 sign:1 zero:7 expressions:2 linear:1 established:1 tkachuk:2 morse:2 section:1 expressed:1 poles:1 above:2 new:15 method:14 contrast:2 satisfy:5 fiz:4 respectively:1 here:2 behaviour:1 asymmetry:1 sinh:15 nonsingular:3 concluding:1 equations:5 transformation:1 obtained:5 drops:1 institute:1 study:1 studied:3 ab2:1 superpotential:5 khare:5 varshni:1 via:1 elaborated:1 8c2:1 use:4 commun:1 next:2 ψn:7 theoretical:1 more:4 ua:2 operators:1 pisma:1 known:20 cases:3 zaslavsky:1 must:3 kumar:1 equation:12 oscillator:1 reproduce:1 following:7 razavy:3 dec:1 example:8 barclay:1 claim:1 give:1 calculation:1 stressing:1 states:9 junker:2 attract:1 3ac:1 parameter:1 de:1 may:3 earlier:1 singularities:2 dx2:1 yanov:1 stress:1 explicit:6 su:1 so:1 subsequently:1 order:5 words:1 indeed:1 paper:10 satisfies:5 before:1 energies:1 interesting:3 vicinity:1 systems:1 mail:1 supersymmetry:2 non:1 propose:2 franko:2 ces:3 cosh2:1 souza:1 easily:2 february:1 finite:1 university:1 level:2 2a:2 2b:4 found:3 en:6 generation:4 energy:23 w12:1 related:1 used:2 obtains:1 quantum:10 our:5 special:7 out:1 restricted:1 rep:1 since:1 rev:4 denotes:1 socalled:1 math:1 theory:1 derived:1 free:2 bx2:4 complicated:1 term:1 put:2 e1:4 e0:5 times:1 dutt:1 teor:2 first:19 there:1 relate:1 number:2 restrict:1 construct:2 illustrate:1 given:10 similarly:1 introduction:1 system:1 least:1 intermediate:1 convention:1 final:1 unbroken:3 gives:2 2ac:2 continuous:1 x2:9 x0:15 cosh:12 than:3 distance:1 unfortunately:1 double:1 require:2 see:9 str:1 were:6 ktf:1 dutta:1 treated:1 rewrite:2 spectrum:4 generalization:3 any:1 jour:1 latter:1 responsible:1 note:6 potential:29 take:1 singh:1 formulas:1 exactly:14 5b2:1 shall:2 riccati:1 nagaraja:1 pair:2 class:1 considered:3 calculated:2 exp:5 physics:2 12b:1 show:2 notations:1 relation:1 substituting:2 d2:1 find:2 ground:19 knowledge:3 parameters:4 enough:1 only:8 explicitly:8 integrable:3 hamiltonians:4 do:3 superpotentials:11 lviv:3 dx:5 3b:1 dw:1 ushveridze:2 arxiv:1 factorization:1 view:1 set:6 constructing:5 exists:2 namely:3 result:7 w1:22 w0:1 subject:2 eigenfunctions:2 αx:23 review:4 symmetric:2 state:20 various:3 correctly:2 between:3 invariant:2 conditions:1 shabat:1 biswas:1 wn:6 attention:1 reproduces:2 key:1 both:1 last:1 many:2 chosen:1 bristol:1 expression:2 otherwise:1 mechanics:9 cn:1 point:2 corresponds:3 pole:1 polynomial:1 respect:3 ensures:1 described:2 transformations:3 due:1 been:2 pb:1 much:1 ph:2 choose:1 ukraine:1 generating:3 relations:1 families:1 easy:1 c2:1 2ǫn:1 c0:6 spin:1 present:6 case:19 look:1 tanh:4 ǫi:1 eigenstate:1 will:1 suppose:2 applies:1 cancelled:1 c1:5 procedure:1 thus:3 them:1 reads:2 ax:2 susy:25 partner:6 same:3 quant:2 several:1 literature:3 ulyanov:2 moment:1 levels:11 purpose:1 potentials:38 opportunity:1 normalization:3 well:4 obviously:1 solve:2 model:1 self:2 proposed:3 rosen:2 obtain:13 shape:2 immediately:1 eigenstates:17 previous:1 preprint:2 except:1 belongs:1 lett:8 versa:2 solvable:9 excited:16 eigenfunction:1 eigenvalue:2 read:4 possible:2 harmonic:1 early:1 know:2 using:10 mod:2 necessary:1 follows:2 steps:1 arbitrary:1 ivan:1 works:2 because:2 methods:2 some:2 qes:40 b0:2 b1:3 b2:11 ourselves:1 cooper:1 opposite:1 novelty:1 conditionally:1 ac2:1 does:2 prob:1 obey:1 bn:3 bx:2 publishing:1 about:1 discussed:2 o:3 8b2:1 αx0:8 previously:3 into:2 obtaining:1 three:3 wn2:1 remarks:1 square:3 references:1 determine:1 nowadays:1 hep:1 initial:3 question:1 was:3 naturally:1 function:17 form:9 but:2 eksp:2 temp:2 up:1 us:11 ul:1 below:1 shifman:1 limit:1 problem:3 similar:2 called:1 examples:3 aa:1 ac:6 ab:7 constant:2 choosing:1 int:1 certain:1 abstract:1 am:1 general:7 formulation:1 supersymmetric:3 zaslavskii:2 constructed:1 functions:10 when:2 bc3:1 node:1 generates:3 separate:1 models:1 problems:2 a2:2 vice:2 corresponding:4 turbiner:2 starting:1
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quant-ph9801022.txt |@word limited:1 code:1 partial:2 consider:2 maximum:1 global:3 four:3 montr:2 follow:1 issues:1 preserves:1 amplification:4 calculate:2 subjected:1 technique:1 tain:1 finally:2 those:1 th:3 under:2 sent:6 random:3 string:9 advantage:1 orthogonal:1 very:3 geometrical:1 promise:1 mixing:1 word:1 matrices:8 transmission:1 solution:5 replaced:1 ri:1 leave:1 convenience:1 recall:1 indices:1 eigenvalues:2 ups:1 upper:2 averaged:1 says:1 occurrence:1 dealing:1 sin2:3 rate:2 picked:1 concludes:1 8n:1 estimated:1 linear:2 even:1 aim:1 what:1 sub:1 ρp:1 giving:2 sum:6 while:1 expressed:1 suspect:1 above:1 scientists:1 new:1 3a:1 contributes:1 coefficient:2 bi:3 full:1 respectively:1 ρv:2 equals:2 gilles:1 understanding:2 desired:2 intercept:1 cos2:1 invented:1 equations:2 obtained:5 sending:1 generalizing:1 hbi:2 vectors:3 ourself:1 products:1 bob:21 luck:1 changes:1 der:1 useful:3 secure:1 family:1 namely:1 arithmetical:1 1st:1 duce:1 total:1 pxe:9 use:4 would:2 prove:4 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quant-ph9801024.txt |@word partial:1 consider:5 rev:10 results:3 four:9 fortiori:1 lewenstein:2 shimony:1 consists:1 expressions:1 gi:3 equivalences:1 certainly:1 violate:1 nonlocal:1 presents:1 finally:2 present:1 tb:24 case:9 belonging:2 departament:1 g2:1 g1:1 ρta:1 very:1 none:2 ρti:1 corollary:4 novel:1 ρts:10 mixing:9 matrices:5 condition:2 catalonia:1 leads:2 obvious:1 suffices:2 solution:2 transposing:1 minimal:11 small:2 eigenvalues:4 smaller:1 says:2 specially:1 ten:1 consistent:1 sin2:1 second:1 further:1 implemented:1 canonical:3 even:2 established:1 what:3 appear:1 urss:1 expressed:3 sur:1 above:3 new:4 preserved:1 satisfy:1 simultaneously:4 respectively:2 ρai:1 here:5 desired:2 plenio:1 cos2:1 address:1 appears:2 obtained:4 introductory:1 vectors:19 allows:3 via:1 useful:1 family:1 till:1 rρ:1 unit:1 projector:2 would:1 prove:6 recalling:2 positive:3 contains:2 estructura:1 france:1 classically:2 call:3 therefore:4 type:2 reflects:1 more:2 subcases:1 composite:8 holt:1 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quant-ph9801026.txt |@word limited:1 concept:1 edf:21 gr:1 induces:1 varying:1 primed:1 grateful:1 consists:1 contributions:3 whose:1 nonlocal:1 environment:1 excluded:1 caused:1 decomposition:1 divergent:1 applied:1 random:1 amplitudes:5 orthogonal:1 very:1 continues:1 induce:1 matrices:2 encounter:3 incoherent:1 hamiltonian:5 ref:1 notes:1 solution:1 large:1 discrete:1 vector:2 phase:8 math:4 indices:2 venus:1 prevent:1 zn:2 employing:2 force:2 oscillation:12 miller:1 murao:1 zero:6 enclosed:2 dynamics:14 chem:3 theory:9 will:4 plays:1 appear:3 ˆx:4 ˆy:2 ˆz:4 tully:1 expressed:1 uniform:1 experiment:1 above:3 elucidate:1 new:4 ever:1 method:4 edited:2 kicked:4 degree:1 respectively:3 sint:1 component:11 here:1 diagonal:1 adachi:4 voth:1 address:1 path:4 strong:2 appears:1 logarithmic:2 contraction:6 obtained:1 institute:7 study:3 studied:3 p2:1 action:8 hospitality:1 conveniently:1 makes:1 composed:1 useful:1 scales:1 explained:5 plenum:1 scaled:1 apply:3 planck:1 unit:1 seligman:1 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quant-ph9801027.txt |@word represent:2 concepts:1 sci:1 consider:1 secondly:1 magnetic:6 reversibility:1 results:5 four:9 scalar:3 grateful:1 reson:4 contributions:1 compact:1 inverse:2 leung:1 iii:1 finally:3 preserved:5 under:4 vandersypen:1 case:6 very:3 frequencies:2 rise:2 conditions:1 splitting:1 isham:1 every:1 difference:1 matrices:2 exponential:1 level:5 knight:2 solution:2 large:4 vector:1 small:6 chuang:4 computation:1 deutsch:20 pulse:15 second:15 design:3 run:3 implemented:5 even:2 errors:1 xor:1 sub:1 2iz:2 d2:1 assistance:2 axes:1 nand:3 kup:1 current:2 experiment:2 subspaces:1 new:2 net:1 edited:3 margolus:1 simultaneously:1 chose:2 exchange:1 never:1 equals:3 here:2 behaviour:3 giles:1 selective:12 operating:1 groups:1 relaxation:2 represented:1 observing:1 appears:1 obtained:1 convert:4 wesley:1 institute:1 involved:2 leaves:1 larger:1 approaches:2 experience:1 ignoring:1 suggests:1 resulting:2 knill:1 usually:1 resonance:7 implement:5 makes:1 useful:2 apr:1 search:1 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quant-ph9801028.txt |@word monte:1 illustrates:1 rev:13 varying:3 splitting:1 quadrature:1 grateful:1 follow:2 amplified:1 certainly:1 inverse:2 compensate:1 th:1 under:1 divergent:1 supported:1 wave:1 affect:1 smithey:1 did:1 occurs:1 large:2 small:2 optics:1 compensated:1 imply:1 rigorous:2 zu:1 carlo:1 will:1 what:1 errors:2 plays:1 section:1 experiment:1 reconstruction:2 reply:3 increasing:1 method:1 contrast:1 never:1 beck:1 imperfections:1 box:1 technical:1 study:1 losses:6 stressed:1 hospitality:1 merely:1 herzog:2 kobayashi:1 plot:1 would:1 commun:1 positive:1 doubt:1 bz:1 more:1 marks:1 berlin:2 particular:1 must:2 states:2 der:1 fock:1 ulm:3 example:1 numbers:1 leonhardt:7 figure:1 process:2 reconstructed:4 performed:2 counting:1 vital:1 reestablish:2 ensemble:6 tried:2 our:3 earlier:1 produce:1 physik:1 data:2 forschungsgemeinschaft:1 attempt:1 light:3 deutsche:1 element:2 fundamental:2 acknowledges:1 order:3 wigner:1 produces:1 developed:1 pointed:1 course:1 thermal:1 experiments:2 statistical:5 reconstruct:1 existence:1 still:1 humboldt:1 interesting:2 systems:1 bernoulli:3 practice:1 budapest:1 scaling:1 they:2 nor:2 inversion:1 university:1 realistic:1 mode:2 found:2 universit:2 macchiavello:6 series:5 measurement:3 quantum:8 laboratory:1 beyond:1 out:5 shown:3 matrix:10 restricted:1 furthermore:2 crucial:1 research:2 increase:2 fellowship:1 performs:1 ref:9 correct:1 shows:1 theory:1 divergence:1 given:2 quite:1 approaches:1 could:1 keep:2 caption:1 hence:1 first:1 initial:1 features:1 number:5 directly:1 impossible:1 size:3 little:1 necessarily:1 reference:1 system:4 their:2 too:1 statement:1 scheme:1 academy:2 exactly:1 optical:3 authors:1 than:1 kind:1 measured:1 see:5 matter:2 compensation:15 computer:1 treated:1 seen:2 any:1 lim:1 note:1 sciences:2 strahlung:1 unperturbed:1 multiple:1 opposite:1 mlynek:2 germany:2 extremely:1 probes:2 considered:1 professor:1 points:1 principle:2 inaccuracies:1 physics:1 incomplete:2 show:1 probe:1 hungary:2 taps:1 should:1 jan:1 analytic:1 only:1 employed:1 axiom:1 do:1 his:2 hungarian:2 beams:1 overall:2 beam:1 cannot:1 dv:1 during:1 procedures:1 runs:6 arxiv:1 paper:1 fixed:3 bars:1 exists:3 national:1 detection:6 depends:1 individual:7 result:1 phases:1 tend:1 state:9 neither:2 approach:2 nature:1 however:4 jm:12 premise:1 analyzed:1 both:1 limits:3 efficiency:9 many:1 infinitely:2 according:1 contract:1 sensitive:1 estimation:2 experimental:5 arbitrarily:2 relevant:1 point:1 continuation:1 homodyne:4 schleich:1 described:1 describes:1 damping:1 compensating:2 ph:3 fig:1 ariano:9 obtained:1 fund:1 tapping:1 systematic:2 otv:1 case:3 critical:1 value:5 employ:2 suppose:1 behavior:1 error:4 situation:2 richter:1 procedure:2 uncertainty:1 thus:1 surprisingly:1 itself:1 claimed:1 technology:1 grant:1 same:1 clearly:3 quant:3 arguments:1 finite:4 difficult:1 used:1 infinity:1 schiller:2 effect:2 hand:1 average:1 delicate:2 faithful:1 off:6 analysis:3 model:1 comment:6 kiss:2 aspect:1 uller:1 paul:3 yet:1 cut:6 density:5 lett:4 easy:1 apart:1 transformation:4 generalized:1 opt:1 aspects:1 increased:1 possible:1 press:1 using:2 mod:1 loss:11 like:1 particle:1 signal:1 performing:1 separately:1 become:2 pereira:1 right:1 classical:1 some:1 calculated:1 measurements:2 quantenphysik:1 does:6 measuring:3 equivalent:1 chaussee:1 bj:3 abteilung:1 although:1 yuen:2 entirely:1 raymer:3 chapter:1 actual:1 discussed:2 o:1 range:1 os:1 cambridge:2 unbounded:1 numerically:2 bound:15 because:1 existed:1 institut:1 assumed:1 support:1 there:1 anderson:1 much:2 low:2 was:4 therefore:2 function:1 but:2 convergence:2 ur:2 crystal:1 ruling:2 demonstrate:1 problem:2 clear:1 mechanics:2 diverges:2 constant:1 influence:3 proven:1 general:2 exist:2 simulations:1 tomography:3 again:1 functions:1 otka:1 no:5 when:2 other:3 role:1 conclusion:2 poor:1 elements:3 preceding:5 stay:1 faridani:1 important:1 required:4 rule:1 impossibility:2 fact:1 resolution:1
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quant-ph9801029.txt |@word represent:2 concept:1 consider:8 ali:2 rev:1 global:1 results:2 leads:4 emch:1 comments:1 houches:1 follow:2 rembieli:1 reasoning:2 compact:1 kowalski:1 referring:1 advantage:1 technique:1 29b:2 corrections:1 29a:3 recurrence:1 finally:8 under:4 analogous:1 must:1 applied:1 straightforward:1 orthogonal:1 far:1 springer:1 choice:1 lynch:1 nieto:1 exact:3 deformations:1 conserved:1 eit:2 entire:1 immediately:4 presented:1 irreducible:4 81b:1 t2:2 solution:9 involution:1 vector:6 inversions:3 eigenvalues:3 noted:3 degeneracy:1 immanent:1 strongly:1 unexpected:1 uej:1 canonically:1 direct:4 approximation:7 zero:1 81a:1 dynamics:1 expressions:1 spreading:1 canonical:1 even:1 what:2 section:11 xφ:1 analogously:1 expressed:2 above:3 referees:1 new:4 method:1 devoted:2 27b:1 full:1 respectively:6 spacing:1 understanding:1 behaviour:1 reported:1 les:1 free:9 groups:3 represented:2 consideration:1 equations:4 appears:1 19b:1 obtained:4 remark:3 parameters:1 study:4 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quant-ph9801032.txt |@word sci:1 consider:4 caused:1 results:1 proposition:13 objections:1 gr:7 tr:1 nonlocal:2 those:3 choice:3 untenable:2 every:2 experimentally:2 entire:2 trl:8 vector:2 trr:5 jump:4 established:2 what:2 stands:2 incompatible:1 section:2 experiment:1 new:2 appeal:1 stefan:1 respectively:1 concepts:1 here:2 selective:10 causality:1 ukraine:2 institute:1 allows:1 usually:1 makes:1 followed:1 hardy:2 apc:1 use:1 takes:2 would:7 probabilities:1 ψh:1 reciprocity:2 scope:1 type:2 separated:9 validity:1 cases:1 must:3 language:1 vladimir:2 ρl:5 ρr:13 values:1 henry:4 following:3 proof:1 lorentz:1 performed:3 sense:1 s2:2 s1:2 holds:1 regions:1 necessary:1 nontrivial:1 pure:2 instead:2 description:6 wrong:1 changes:1 attempt:1 dynamical:1 whenever:2 cannot:2 so:8 discussion:8 indeed:1 argues:2 paper:4 through:2 statistical:1 hypersurface:4 its:1 write:1 supplemented:1 thank:1 relativity:9 lr:9 systems:2 undermines:1 non:1 nonselective:5 they:2 sij:3 now:3 equality:1 iff:2 l2:5 each:1 lorentzian:1 mean:1 series:1 revised:2 manifests:2 frames:4 precedes:2 measurement:16 quantum:22 our:2 happen:1 beyond:1 eq:5 special:8 out:1 kiev:1 since:3 participants:2 rl:4 theory:4 causally:10 circumstance:4 free:1 york:1 put:1 org:1 cornerstone:2 r1:4 r2:4 determining:1 could:1 david:2 motion:1 introduction:1 place:2 first:1 already:1 probability:2 variables:2 number:1 done:4 impossible:5 given:3 reference:5 ordering:1 eqs:2 system:8 construct:6 unruh:7 their:2 hypothetical:2 john:1 national:1 gives:2 academy:1 observable:2 translating:1 see:2 hypersurfaces:9 were:3 result:4 prl:9 argument:1 need:1 counterfactuals:2 clearly:1 mermin:8 latter:1 sciences:1 stapp:19 take:1 heisenberg:3 shall:1 quote:2 nothing:2 measured:1 class:2 later:2 order:7 physics:2 nlr:6 finkelstein:3 spaces:2 relation:2 find:2 fifth:12 based:1 should:4 jan:1 only:7 local:2 do:2 invoke:1 there:3 ones:1 podolsky:1 arxiv:1 qc:7 though:4 minkowski:1 london:1 implication:1 view:4 exists:2 frame:3 correlations:1 depends:1 descriptions:1 discussions:1 nonlocality:7 fails:2 symmetric:2 state:9 between:1 geometric:4 approach:1 email:1 both:3 limits:7 region:1 argue:6 otherwise:1 point:2 seems:1 cf:13 dimensional:2 consideration:2 ordered:5 pr:2 described:3 locally:1 been:1 interest:1 ph:8 obtained:2 life:1 nrl:5 am:1 concerning:1 former:1 present:2 case:4 disconnected:2 value:2 aim:1 invoking:1 fiducial:1 spacelike:1 phenomenological:1 overlooked:2 thus:4 disjoint:1 itself:2 il:3 grant:2 same:1 quant:8 emphasize:1 φh:1 events:3 independent:2 used:2 nl:3 recent:1 spacetime:1 well:1 academic:1 coordinate:5 paradox:1 left:3 restore:1 invariantly:2 being:5 questions:1 ρ0r:8 bell:2 had:1 ρ0l:9 natl:1 transformation:1 fulfillment:1 corresponds:1 press:1 world:2 advanced:1 helpful:1 pertinent:1 like:1 particle:2 follows:1 integrals:1 ρlr:1 essential:2 mathematical:1 right:3 classical:1 conditional:1 specified:2 avoid:1 measurements:19 counterfactual:4 proc:1 measuring:1 plr:7 jumps:10 l1:2 although:1 hilbert:2 actual:4 carried:1 mutually:1 misleading:2 raised:1 statements:1 into:2 within:4 attains:1 appropriate:2 acad:1 references:1 determine:5 einstein:1 operator:1 theoretically:2 additional:2 intrinsic:3 initial:4 question:1 specifically:1 resulted:1 was:2 complete:3 form:1 registered:1 but:5 sophisticated:1 true:2 made:1 prevents:1 us:5 below:2 problem:5 mechanics:2 associated:5 defined:2 abstract:1 grqc:1 influence:3 general:1 exist:1 relates:1 incorrect:1 discriminate:1 locality:3 rosen:1 schwinger:1 field:4 other:1 papers:1 nr:8 conclusion:4 picture:3 variable:1 acknowledgment:1 implies:2 mash:1 impossibility:1 implied:1 time:6 backward:1
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quant-ph9801033.txt |@word partial:1 consider:2 ali:1 alternatives:1 results:1 follow:1 gr:5 regularize:2 technique:1 containing:2 finally:1 critical:1 those:1 alberto:1 under:1 discontinuously:1 worth:1 divergent:7 amplitudes:1 g0:19 very:2 implicitly:1 rise:1 springer:2 wave:1 redefinition:4 logarithmically:1 condition:1 treating:1 hamiltonian:12 diverging:1 solution:3 dealt:1 eigenvalues:1 drop:1 barbara:1 infinities:4 work:1 renormalized:1 consistent:1 second:5 what:2 appear:2 trivial:1 sum:1 d3:1 version:1 poles:2 above:3 suppose:1 method:1 exercise:1 respectively:2 men:1 here:5 eikz:1 address:1 along:1 appears:2 obtained:2 instituto:1 parameters:5 institute:1 study:1 studied:1 allows:1 example:1 krohn:1 usually:2 fourier:1 jackiw:1 br:1 explained:1 assertion:1 apply:2 use:3 proceed:1 usa:1 sake:1 positive:3 contains:1 negative:1 next:1 process:2 ψn:3 therefore:3 usp:1 taken:1 doubling:1 theoretical:1 more:6 sort:1 started:1 becomes:2 odinger:4 berlin:1 correspondingly:1 varying:1 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quant-ph9801034.txt |@word limited:1 consider:1 magnetic:1 both:1 results:1 eds:1 commute:1 relationships:1 b288:1 depend:1 violate:1 alamos:2 finally:2 marchand:1 th:1 ti:4 tf:9 analogous:3 include:1 ta:2 division:1 orthogonal:1 far:1 semi:1 every:2 difference:1 condition:3 arrange:1 disturb:1 p4:3 hamiltonian:9 t6:1 turns:1 t2:13 t1:13 large:3 recall:1 small:7 eigenvalues:1 optics:1 der:1 consistent:1 direct:1 past:1 zero:1 zy:1 rigorous:1 qualitatively:1 situated:1 what:1 clock:13 section:6 mlp:2 experiment:3 above:5 increasing:1 satisfy:2 regularize:1 simultaneously:2 whose:1 never:3 component:1 highly:1 represented:2 equations:5 change:4 wait:1 popescu:1 reason:1 commonly:1 ldp:1 suggests:1 amount:3 simultaneous:3 resulting:1 published:1 usually:1 devices:1 appropriately:1 outcomes:2 use:1 takes:3 would:2 remains:1 motivate:1 classically:1 therefore:5 means:1 theoretical:1 reflects:1 more:3 clever:1 knows:1 operators:3 berlin:1 everywhere:1 proceed:1 particular:2 iii:2 must:9 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quant-ph9801036.txt |@word because:1 arxiv:1 author:1 caused:1 there:1 been:1 jan:1 paper:1 quant:1 error:1 ph:1 apologize:1 eq:1
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