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quant-ph9710030.txt |@word consider:2 interference:1 magnetic:4 results:1 existing:1 roy:1 ginzburg:3 gn:2 gl:1 reˇ:1 whose:3 paris:1 concerned:1 under:1 hermann:1 ık:1 case:4 straightforward:1 far:3 rise:1 choice:1 electron:1 2γx:1 stays:1 condition:1 turns:1 solution:6 large:3 small:1 approximation:1 zero:4 rigorous:1 further:2 situated:1 even:1 will:1 appear:1 near:1 centers:3 current:7 above:4 replaced:1 acknowledgments:1 respectively:2 equals:2 here:2 sprung:1 cylindrical:2 focused:1 illustration:1 eikx:2 along:1 equations:1 implicit:2 interpret:1 box:1 remark:1 technical:1 vectors:1 allows:1 abrikosov:1 krohn:1 usually:1 narrow:1 bethuel:1 plotted:1 appropriately:1 family:5 marked:2 replace:1 scaled:2 visible:1 sgn:1 apply:1 denotes:1 plot:3 use:2 remains:1 positive:1 pedagogical:1 next:1 comparing:1 yj2:1 m0:4 themselves:1 type:1 theoretical:1 more:1 introducing:1 clearly:1 nonunique:1 odinger:2 curvature:1 known:1 iii:3 entangle:2 springer:1 cas:1 equation:4 superconducting:1 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quant-ph9710031.txt |@word code:121 dist:7 consider:17 0l:5 leads:1 gf:3 entropy:3 edu:2 consists:6 gs:7 row:3 whose:1 inverse:1 depend:1 knill:1 equivalence:1 containing:1 γk:1 γj:8 finally:5 tj:1 γn:6 th:1 under:3 conjecture:2 vlj:1 straightforward:1 orthogonal:6 far:1 cβ0:5 corollary:3 every:34 entries:2 matrices:6 condition:7 entire:1 cα0:4 obvious:2 list:1 ri:15 large:1 discrete:1 vector:19 math:1 rk:1 anantram:1 specially:1 det:1 sin2:4 sign:1 rate:4 value:2 mj:4 theory:4 even:4 errors:4 section:7 above:8 new:3 consisting:2 thin:7 satisfy:6 full:12 notions:1 aij:15 modify:1 here:4 diagonal:7 desired:6 cos2:4 represented:2 xγ:8 xα:25 equations:6 obtained:5 study:1 vectors:35 contradiction:5 products:2 permutation:1 uniquely:2 via:5 useful:3 family:1 explained:1 replace:1 conditions:3 sloane:5 pp:5 sgn:48 apply:1 linearly:2 use:1 additive:43 asymptotic:3 zβ1:2 prove:5 remains:1 beginning:2 contains:8 γi:1 next:2 roychowdhury:2 explicitly:1 call:3 therefore:9 m2:1 type:2 more:7 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quant-ph9710032.txt |@word concept:1 evidence:9 chain:11 lack:1 four:1 proposition:1 ciar:1 go:1 follow:3 reasoning:7 inferences:6 content:1 certainly:2 depend:3 spin:4 finally:4 program:1 those:4 under:8 circumstances:1 random:1 very:3 choice:4 affect:1 difference:1 condition:2 look:1 level:1 did:1 interpretations:1 ascribed:2 unrelated:1 small:1 says:2 consistent:1 sin2:4 direct:4 surrounding:1 second:3 further:2 10v:2 even:11 established:2 what:9 apparatus:11 section:1 while:3 experiment:11 suspect:1 issues:1 above:6 values:19 appeal:1 acknowledgments:1 told:1 satisfy:1 impact:1 full:1 desires:1 never:1 here:1 understanding:1 experimentalist:1 operating:1 cos2:1 alone:1 based:2 strong:1 change:1 depended:1 obtained:13 great:1 engage:1 canadian:1 rests:1 allows:4 reason:1 contradiction:1 usually:2 opinion:2 makes:1 via:2 inference:12 heart:1 apr:1 logical:5 outcomes:8 hardy:5 logically:3 apply:1 establish:1 causal:1 use:11 would:30 remains:1 chooses:1 predict:2 bases:1 examination:1 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quant-ph9710039.txt |@word represent:1 sci:1 consider:3 pointing:1 magnetic:1 zamir:1 results:1 fluids:2 leads:1 scalar:1 supplement:1 cases:1 whose:1 amplification:1 answered:1 charge:2 under:1 hints:1 cm3:1 sound:7 far:1 frequencies:3 void:1 account:2 wave:9 electron:1 chodos:1 1ps:1 bubbles:2 condition:2 discovered:1 turns:1 shock:13 ginzburg:1 large:1 vector:1 small:1 optics:1 equation:1 inserting:1 eberlein:1 dealing:1 surrounding:1 imply:1 greenspan:1 tangential:1 further:2 supersonically:1 schiffer:2 what:1 putterman:3 experiment:1 poles:4 above:3 scientists:1 acknowledgments:1 filled:1 coefficient:2 discontinuity:4 mechanisms:1 understanding:1 water:2 compressed:1 separation:1 address:3 givat:1 equations:3 change:3 contraction:1 obtained:1 remark:1 incoming:2 institute:1 involved:1 study:1 action:1 makes:1 plotted:1 via:3 use:1 would:2 contains:1 intense:1 few:2 circumstances:1 taken:1 associated:1 care:1 h1:3 emission:11 surface:3 known:2 hole:1 producing:1 must:2 involve:1 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quant-ph9710040.txt |@word concept:1 consider:1 rev:4 gx:1 consists:1 denotes:2 gj:1 gi:1 calculate:1 tr:16 answered:2 under:10 g3:2 g2:2 g1:4 denoted:3 wishes:1 every:2 condition:6 ref:1 measurable:1 infimum:1 linear:1 g22:2 appear:1 homodyning:1 establishes:1 new:1 acknowledgments:1 fujiwara:3 edited:2 full:7 equals:2 unbiasedness:5 address:1 equations:2 logarithmic:3 search:2 real:1 bayes:3 buˇzek:1 inference:1 family:23 hermite:1 app:1 plenum:1 masahito:2 use:2 asymptotic:7 massar:3 positive:1 next:1 few:1 sample:2 therefore:6 cram:20 type:11 more:2 composite:5 must:2 topic:2 valued:1 following:4 trans:2 proof:1 lφ:1 claim:1 compare:1 states:7 unbiased:6 minimum:5 sense:2 information:3 pp:1 pure:7 optimal:4 parameter:12 sin:2 description:1 may:1 derived:3 lax:2 minimizes:1 realized:1 sr:2 parameterized:1 correlation:4 definitions:1 g12:2 lθ:1 matsumoto:3 thermal:4 paper:4 statistical:1 japan:1 satisfies:1 ieee:1 ld:1 thank:1 lj:2 li:4 fujikawa:1 mail:1 they:1 identically:1 now:1 sφ:2 easily:1 equality:1 university:1 iff:1 inequality:10 each:4 characterized:1 mean:1 metr:1 weight:1 reduce:2 constitute:2 extended:4 measurement:13 quantum:26 er:20 matrix:7 space:2 helstrom:1 holevo:3 research:3 rd:4 print:3 evaluation:1 math:3 theory:2 rld:8 york:1 estimate:6 r0:14 r2:1 programming:1 first:1 ono:1 probability:1 soci:1 another:2 precisely:1 given:1 necessarily:1 introduction:1 unknown:13 πn:1 system:21 too:1 speaking:1 japanese:1 holland:1 light:2 treated:1 result:3 rao:20 need:1 elsevier:1 any:4 viewed:1 efficient:2 normal:1 most:1 probabilistic:1 nagaoka:3 don:1 calculated:1 order:3 countable:1 θeiφ:1 exp:1 precise:1 show:1 parameters:6 jap:1 should:1 only:1 attained:8 local:5 oct:1 reconstruction:1 cannot:4 dr:1 closure:1 densities:1 d2α:1 approach:1 arxiv:1 investigate:1 view:3 set:5 δji:1 detection:2 see:1 descriptions:1 discussions:1 satisfying:3 inequalities:2 nondegenerate:1 symmetric:2 state:25 between:3 caves:1 conditions:6 jp:1 analogues:3 efficiency:2 problem:1 cos:2 many:1 called:6 admit:1 estimation:16 ca:8 asymptotically:3 dimensional:1 pom:1 respect:1 θ0j:1 θ0i:1 described:2 publishing:1 locally:6 three:1 treat:2 ph:4 abstract:1 θj:1 θi:1 slds:1 sufficient:1 coherence:1 covariance:4 θd:1 θe:1 hayashi:8 coherent:2 noncommutative:1 derivative:3 spin:11 case:6 subsets:1 value:5 error:6 sld:6 characterizing:2 va:5 vol:1 thus:1 ind:1 id:1 author:1 same:3 complex:1 quant:4 finite:6 independent:4 investigated:1 hand:1 lower:2 academic:1 model:1 r02:4 r04:2 popescu:3 when:2 obtain:3 useful:1 vρ:13 density:1 except:1 book:1 lett:2 samples:11 iφ:1 identical:2 aspects:1 know:5 press:1 using:4 subfamily:4 g32:2 ρli:1 follows:3 reduces:1 mathematical:1 because:1 often:1 examples:1 cr:7 minimax:2 measurements:3 assuming:1 prof:1 noise:2 minimization:1 kyoto:5 l1:1 bi:4 bj:1 yuen:3 about:4 o:1 estimator:4 communication:1 bound:16 right:1 references:1 determine:1 estimators:1 operator:2 amsterdam:2 matrixes:3 θˆi:3 θˆj:1 prepare:2 there:5 question:3 long:1 borel:1 north:1 but:4 attainable:10 maximum:2 distribution:1 jρ:11 ariano:2 ac:1 computing:1 defined:10 certain:1 universal:2 measure:1 general:1 single:4 exist:1 dθ:3 tomography:1 faithful:1 no:1 generally:1 other:3 papers:1 department:1 mathematics:1 conclusion:1 separate:3 preceding:2 prepared:1 included:2 fisher:3 jones:1 assume:2 lanl:3 covariances:1 adam:1 hirota:1 decoherence:1
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quant-ph9710041.txt |@word proposition:1 code:2 consider:1 induces:1 commun:1 results:2 commute:1 computation:7 consists:3 gl:3 causes:1 λii:2 tr:1 environment:15 finally:1 program:1 δhk:1 preserved:2 th:2 under:1 analogous:1 advantage:1 assuming:1 summarized:1 mixing:1 condition:3 dim:1 hamiltonian:9 irreducible:2 notes:1 tre:4 noiseless:2 multiplicities:2 science:1 eigenvalues:2 villa:1 deutsch:2 lecture:1 direct:4 fold:2 zero:1 further:1 dynamics:8 implemented:1 eigenspaces:1 linear:8 even:2 aim:1 errors:3 sum:4 cell:4 subspaces:5 notions:1 respectively:2 component:1 here:3 xλ:1 active:1 path:1 strong:1 respect:2 appears:1 obtained:1 vazirani:1 remark:8 remarks:1 allows:1 approaches:1 leaving:1 eigenspace:1 amount:1 simultaneous:1 action:3 hospitality:1 suitable:2 involves:1 schur:1 stabilization:2 family:1 marginal:3 boolean:1 sloane:1 rkh:3 duca:1 unit:1 rkk:2 use:7 plitudes:1 would:1 prove:1 contains:1 negative:2 properties:1 ψj:8 therefore:5 reflects:1 more:1 formally:1 iis:1 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quant-ph9710042.txt |@word quarks:1 partial:1 consider:6 remarkable:1 results:1 scalar:1 entropy:11 shimony:2 go:1 remarkably:1 contributions:1 causes:1 gr:1 looking:1 amplification:2 depend:1 calculate:1 spin:1 description:1 deterministic:1 tr:4 wish:1 send:2 finally:1 preserved:1 th:1 under:5 γc:5 stochastic:13 maryland:1 circumstances:1 indicating:1 paying:1 random:4 economical:1 advantage:1 orthogonal:1 far:1 induce:1 wave:6 sons:1 putting:1 should:2 dispersions:3 implausible:1 experimentally:1 difference:3 prevents:1 condition:1 entire:1 level:3 did:1 sucher:1 notes:2 solution:2 large:3 discrete:1 small:6 generalize:1 optics:1 noted:1 martingale:2 upper:1 smaller:1 occurrence:1 det:5 consistent:2 prediction:2 sign:5 elegant:1 imply:1 insertion:1 writing:1 dynamics:4 theories:2 gm:1 quite:1 theory:7 even:2 nothing:2 what:1 nonlinear:1 appear:1 rate:1 sum:1 8m:1 expressed:1 experiment:1 above:3 supplies:2 falling:1 asi:1 consisting:1 contrast:1 temperatures:1 full:1 led:2 whose:1 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quant-ph9710043.txt |@word limited:1 consider:3 focus:1 scalar:1 entropy:3 comments:1 computation:7 particles:4 calculate:3 tr:4 answered:1 analogous:1 orthogonal:38 very:6 results:1 cellular:1 affect:1 4et:1 condition:1 δt:3 hamiltonian:1 knight:1 solution:2 fewer:1 try:1 discrete:2 small:1 eigenvalues:6 inertial:1 work:1 oscillation:1 approximation:1 second:5 pass:12 greenberger:1 dynamics:4 machines:1 even:1 2πik:1 giving:1 section:5 above:3 new:5 contributes:1 acknowledgments:1 frisch:1 coefficient:1 margolus:6 led:1 never:3 component:2 here:5 shouldn:1 dover:1 lev:1 address:1 observing:1 appears:1 change:5 obtained:3 great:2 wesley:1 shift:1 inspired:1 larger:1 reports:1 amount:2 action:1 california:1 changes:3 der:1 useful:5 extra:1 magnitude:2 histories:1 put:2 achievable:4 apply:2 counts:1 total:4 planck:3 unit:5 wang:1 use:2 takes:1 would:8 distinct:13 positive:2 toffoli:1 ψt:3 next:1 few:1 automata:2 noting:1 popescu:1 memory:1 taken:2 turin:1 more:4 composite:1 becomes:5 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quant-ph9710044.txt |@word limited:1 evidence:2 consider:7 represent:1 brownian:1 results:3 leads:4 ge:1 commute:1 computation:1 follow:1 gm:1 issues:1 devoted:1 depend:2 iνt:1 deterministic:1 γw:1 γt:5 γo:1 those:1 γm:1 stochastic:10 analogous:1 random:3 far:2 springer:1 wave:2 valued:1 sidebands:3 resonant:2 experimentally:3 condition:1 four:4 exponential:1 vibrational:10 hamiltonian:9 knight:2 erratum:1 proposals:1 solution:3 solved:1 vector:1 eigenvalues:1 optics:1 upper:1 population:2 work:1 ten:1 estimates:1 pulse:8 sign:1 approximation:1 second:7 chen:2 dynamics:1 implemented:1 canonical:1 blue:6 index:2 what:1 nonlinear:1 appear:2 indicated:1 section:1 interactions:1 experiment:2 above:1 fractional:3 method:1 contrast:1 coefficient:2 component:2 interested:1 here:3 alone:1 strong:3 differential:1 obtained:1 technical:1 involved:2 resulting:1 suggestion:1 quotient:1 appropriately:1 followed:1 projection:1 scales:1 highly:1 scaled:2 addressed:2 total:1 use:4 takes:2 contains:1 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quant-ph9710047.txt |@word consider:5 gupta:1 squared:2 berman:1 global:1 brownian:1 focus:1 four:4 scalar:7 reynaud:5 inverse:1 depend:2 paris:3 equivalence:3 ıa:1 charge:1 preserved:21 th:1 under:13 straightforward:1 very:1 frequencies:1 implicitly:1 rise:1 translations:2 brossel:1 induce:3 choice:2 corollary:1 witten:2 summarized:1 affect:1 difference:1 condition:2 leads:1 perceived:1 cunningham:1 evaluation:1 large:1 vector:8 science:1 small:1 gauge:4 optics:2 equation:21 fµν:2 force:16 sign:3 zero:4 lines:1 further:1 scatterer:1 spectral:2 established:1 sud:1 appear:5 xσ:1 section:4 xρ:2 foregoing:2 lhomond:1 uniform:5 reminiscent:1 annals:2 sup:2 rigidity:4 erieure:2 contrast:1 body:4 led:1 exchange:1 deduces:2 respectively:1 here:4 following:3 physikalische:1 xν:7 represented:1 σab:4 along:2 standard:1 equations:13 appears:3 change:1 deduced:2 obtained:5 larger:1 commonly:1 products:1 usually:1 therein:3 fourier:1 changes:2 anticommutators:3 antisymmetrised:1 technique:1 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quant-ph9710050.txt |@word monta:2 results:9 four:2 rosales:1 consists:3 ammonia:1 inverse:1 alamos:1 technique:2 presents:1 quasi:1 alberto:1 under:1 anharmonic:5 case:1 aurora:1 wave:1 exact:5 condition:2 presented:2 transmission:2 applicable:1 adjust:1 small:5 employing:1 miller:9 estimates:1 approximation:7 zero:2 value:1 qualitatively:1 chem:3 even:3 3s:1 section:1 selected:1 above:1 del:4 consisting:1 movement:1 coefficient:1 editorial:1 respectively:1 here:2 reported:2 departamento:2 z4:1 luis:1 equations:2 mex:1 change:1 obtained:2 instituto:1 institute:1 drs:1 allows:2 experience:1 action:1 hospitality:1 suitable:1 studies:1 appropriately:1 equivalence:2 useful:2 s01:5 s02:3 coinciding:1 select:3 asymptotic:1 working:1 remains:1 predictions:1 assuring:1 approach:4 bonilla:1 ψm:1 theoretical:1 kahng:1 becomes:3 warm:1 particular:2 known:4 oliva:1 quartic:5 permits:1 equation:8 work:6 oscillator:3 oct:1 values:10 following:4 figure:1 give:1 calculation:7 dxp:1 indicates:2 performed:1 coincident:1 umin:1 dyx:1 pino:1 s2:1 s0:11 regions:2 criterion:3 parameter:2 oscillatory:1 express:1 after:2 order:5 furnish:1 produces:1 developed:1 move:1 through:2 nitrogen:1 mentioned:2 satisfies:2 y2:2 chemical:1 le:1 group:1 energies:1 better:1 fig:1 constitutes:1 main:1 defining:2 good:9 introduce:1 they:1 half:1 now:1 february:1 university:1 2z:1 applied:3 each:1 disregard:2 2m:1 2n:2 another:1 energy:8 solution:9 alejandro:1 literature:1 quantum:5 our:2 approximated:1 gonzalez:1 shown:1 rev:1 particles:1 ref:1 shows:1 turning:5 barrier:1 ısica:3 1s:1 possibility:1 members:1 advisor:1 ds0:2 david:1 universidad:3 mω:3 symmetry:2 variables:2 number:1 approximate:2 proposing:1 ying:1 quality:2 george:1 illustrate:1 given:4 guanajuato:3 introduction:1 system:2 construct:1 their:2 scheme:3 gives:1 park:2 x2:2 x0:2 x1:3 appreciated:1 coefficients:1 manning:1 double:4 determined:1 aquino:1 manner:1 need:1 lic:1 isolated:2 note:1 potential:7 objective:1 collaboration:1 molecule:2 wells:5 extending:1 affirmation:1 acknowledgements:1 exico:1 considered:1 calculated:3 adopt:1 coincides:1 points:5 mechanical:5 physics:3 fact:2 thomas:1 selection:2 supported:2 ending:1 implying:1 solutions:1 substituting:1 find:1 ground:8 just:1 parameters:1 situations:2 should:2 only:2 adequate:1 mena:1 hip:1 triangle:1 establishes:1 cuba:2 de:8 mgm:2 ones:3 dr:1 ds:5 numerous:1 arxiv:1 method:13 activity:1 reference:1 observed:1 y1:3 recently:1 lee:2 fails:1 symmetric:3 state:8 various:2 between:2 boundary:2 conditions:2 terms:1 extend:2 nature:1 however:1 hydrogenic:1 lopez:1 improve:2 both:1 last:1 many:1 region:1 quantization:1 etc:1 hω:1 expression:2 pinar:3 relevant:3 point:3 wall:1 character:1 table:3 considering:1 described:1 addition:1 been:2 z2:3 interest:1 ph:2 systems:1 field:1 graphical:1 corresponding:2 sufficient:1 remark:1 finished:1 improved:2 former:1 present:2 p2:7 augusto:1 evaluated:1 aim:1 suppose:1 behavior:1 situation:1 property:1 procedure:2 coupled:1 characteristics:1 wkb:2 rio:3 perez:1 perform:1 same:2 became:1 quant:2 modification:3 advise:1 used:2 numerical:3 hand:1 purpose:3 task:2 well:5 concrete:1 s20:2 proposed:9 being:1 newton:1 guides:1 preprint:1 conclusions:1 guaranteed:1 other:1 conacyt:1 treatment:1 transformation:7 lacking:1 evaluate:1 using:1 advanced:1 like:1 particle:1 exploiting:1 qualitative:1 λx4:1 follows:3 become:1 satisfactory:2 methods:1 classical:1 madrid:1 respect:2 extended:1 assuming:1 minimal:1 gratitude:2 obey:1 selecting:1 journal:1 properties:1 takes:1 would:1 extension:5 range:1 greatly:1 introduced:2 sept:1 within:2 integral:1 appropriate:1 references:1 cabo:1 support:1 initial:2 transform:1 los:1 facultad:2 way:2 was:1 function:11 form:2 but:1 link:1 characteristic:1 inside:1 up:2 us:4 below:1 problem:16 similar:1 defined:4 galindo:1 abstract:1 deep:1 general:4 dη:1 archive:1 physical:1 yoo:1 again:1 na:2 application:2 valid:1 picture:1 models:1 problems:2 allowing:2 sides:1 4z:1 auxiliary:15 required:1 rule:3 having:3 fis:1 original:3
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quant-ph9710052.txt |@word logarithms:1 code:3 arrives:1 gr:2 noncomputable:2 catalogue:1 keep:1 reversibility:2 results:2 eds:5 concept:2 entropy:3 per:2 computation:32 milonni:1 consists:1 follow:1 mccarthy:1 issues:1 consider:3 whose:4 toone:1 inverse:4 re:1 equivalence:2 factoring:3 realities:1 environment:2 uniqueness:1 program:3 th:3 under:1 hermann:1 arranged:1 resources:1 ta:1 case:7 amplitudes:1 presently:1 straightforward:1 very:4 observables:1 pages:1 wave:2 print:1 putting:1 decide:1 cook:1 specific:1 difference:3 matrices:6 minute:3 randomness:2 progression:3 presented:2 did:1 cause:1 stuttgart:1 list:1 solution:1 herbert:1 leave:1 discrete:4 vector:1 demonstrated:1 guiding:1 section:1 eigenvalues:1 speculation:1 optics:1 setup:1 deutsch:2 dealing:1 prediction:4 tex:1 second:6 noise:2 design:1 perspective:1 further:1 machines:5 linear:2 even:3 trick:1 what:7 combined:1 apparatus:1 incompatible:1 partition:2 sum:1 selected:1 http:3 foregoing:1 uniform:1 henceforth:2 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quant-ph9711012.txt |@word least:1 wigner:12 they:3 correlation:3 being:1 electromagnetic:1 zeh:3 global:1 results:1 interpreted:1 leads:1 experiments:1 through:5 aspect:1 world:2 interpretation:3 momenta:1 pointer:1 its:3 fifth:2 consider:1 touches:1 inverse:1 monitored:1 symmetry:1 density:2 irreversible:1 concerned:1 syntheses:1 weaker:1 except:1 starobinsky:1 ds:1 environment:9 topic:1 quasi:1 complex:1 degrees:8 systems:1 molecules:1 under:1 hermann:1 quant:2 analogous:1 circumstances:1 local:6 spreading:1 momentum:2 his:2 increased:1 rev:2 represents:1 very:2 showing:1 providing:1 straße:1 springer:2 wave:2 early:2 famous:1 maali:1 example:3 entangled:1 kiefer:3 experimentally:1 nov:1 lett:1 stable:1 fakult:1 thep:1 abbreviation:1 disturb:1 gets:1 necessary:1 like:1 particle:2 covering:1 preparation:1 fields:6 arxiv:1 grav:1 large:1 investigate:1 play:1 small:4 found:2 universit:1 brune:1 optics:2 reduced:2 maˆıtre:1 wunderlich:1 system:2 prevent:1 too:1 traced:1 occurrence:1 classical:13 correlations:2 some:1 emphasise:1 packet:1 freeze:1 approximation:1 see:2 used:1 radius:1 result:2 measure:2 proper:1 dynamics:1 out:2 even:2 emerges:1 matrix:2 lead:1 hagley:1 macroscopic:2 review:2 unavoidable:1 crucial:1 denotes:1 models:1 state:2 galaxy:1 above:3 between:4 herder:1 encounters:1 shows:1 edited:1 creation:1 construct:1 theory:4 degree:1 nature:2 importance:1 weak:1 remaining:1 atoms:1 behaviour:1 squeezed:1 applications:1 objects:3 formation:2 will:1 become:4 stamatescu:1 strong:2 equations:1 properties:1 reaction:2 great:1 interaction:6 noticeable:1 most:1 freedom:7 study:1 transition:1 so:2 attributed:1 called:1 motion:1 seeds:1 ensure:1 raimond:1 context:1 usually:2 contribution:1 spacetime:1 finds:1 relation:1 otherwise:2 relevant:2 useful:1 features:2 probability:1 into:3 within:1 number:1 due:1 entanglement:1 philosophical:1 because:1 references:1 approximately:1 qed:2 grain:1 technically:1 reflections:1 would:2 basis:1 px:1 only:2 been:1 class:1 their:1 therefore:1 interest:1 taken:2 ph:2 dx:1 universal:1 cited:1 vienna:1 function:8 field:6 coherence:2 emergence:3 way:2 form:2 quantities:1 sufficient:1 claus:1 amongst:1 back:2 dreyer:1 relevance:1 berlin:2 giulini:1 gain:1 particular:1 known:1 encoded:1 cases:1 hold:2 unrealistic:1 standard:1 must:1 case:2 localisation:1 account:2 utmost:1 comes:1 integrating:1 holds:1 kupsch:1 gravitational:3 work:1 appearance:2 ur:1 localised:1 while:3 irrelevant:1 universe:4 following:1 quantised:1 property:1 my:1 distinguished:1 examples:3 exhibit:1 uncertainty:1 constant:1 approximate:1 zeno:1 process:2 abstract:1 thus:1 haroche:1 often:1 high:1 quantum:11 scientific:1 width:3 exist:1 o:1 arise:1 corresponding:2 cosmology:1 defines:1 gives:1 huge:1 functions:1 polarski:2 genuine:1 since:1 discussion:2 breaking:1 isolated:1 branches:1 far:1 other:4 role:2 details:1 becomes:2 symposium:2 ordinary:1 strengths:1 parameter:1 tool:1 accuracy:1 briefly:1 investigated:1 ubiquitous:1 electric:2 singapore:1 may:3 comprehensive:1 after:3 upon:1 effect:1 hand:1 different:1 freiburg:3 important:3 germany:1 but:2 physik:1 quantitative:1 dust:1 why:1 structure:1 appear:2 gaussian:1 joos:1 natural:2 coupling:3 charges:1 slightly:1 many:2 well:1 fluctuations:3 proceedings:1 mass:1 sect:1 exp:2 time:2 position:3 decoherence:8 first:1 physics:2 notion:1 fact:1 charged:2
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quant-ph9711013.txt |@word concept:1 consider:3 chain:1 restraining:1 squared:2 magnetic:5 lack:2 alternatives:1 results:2 arranging:1 comments:1 consists:1 multislit:1 contributions:1 localized:1 inspire:1 whose:2 inverse:1 aug:1 iii:1 hump:2 young:3 unanswered:1 blocking:1 environment:1 charge:2 foster:1 those:4 under:1 stochastic:4 ontological:1 necessary:1 reveal:1 division:1 supported:1 downstream:1 very:5 frequencies:2 implicitly:1 rise:1 account:2 seemingly:2 wave:51 denoted:1 electron:6 scout:1 fall:3 experimentally:1 difference:4 exact:2 wick:1 condition:1 induced:2 internally:1 reciprocal:1 presented:1 diverging:2 cause:4 notes:1 large:4 vector:2 unproblematic:1 laser:1 guiding:3 small:1 optics:2 equation:2 prevent:1 occurrence:2 fence:1 probabilities:1 consistent:4 sin2:4 translating:1 go:1 second:3 customarily:1 concludes:1 rigorous:1 further:3 copenhagen:1 attributable:1 spectral:1 index:1 what:5 errors:1 2cos:1 section:1 http:1 brief:1 expressed:3 consequent:1 current:6 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quant-ph9711014.txt |@word consider:1 bateman:1 supported:1 results:3 produced:1 tricomi:1 transforms:1 king:1 follow:1 nieto:1 previous:2 alamos:2 acting:1 better:1 analytic:2 finally:1 lett:2 transcendental:1 alberta:1 deformation:1 hill:1 division:1 means:1 obtaining:1 dy:1 using:2 nov:1 now:1 condition:1 gov:1 necessary:1 university:2 arxiv:1 michael:1 email:2 4πc:1 trap:1 arbitrary:2 found:1 2n:1 side:1 truax:2 mathematical:2 right:2 formulas:1 series:1 national:1 2c:2 observed:1 rigorous:1 laboratory:1 eq:3 contour:1 recognition:1 canada:2 t2n:1 since:1 integration:1 research:1 enough:1 energy:1 oberhettinger:2 ucalgary:1 reply:1 duplicated:1 ref:1 b285:1 math:1 1n4:1 foundation:2 power:1 martin:1 expansion:1 understanding:1 mmn:2 california:1 jr:1 references:1 mcgraw:1 put:1 standard:1 change:1 science:1 definition:1 theorems:1 allows:1 drt:1 2i:1 acs:1 rodney:1 elyi:1 york:2 comment:4 xn:1 manuscript:1 wineland:1 hermite:4 ca:1 integral:2 fern:1 done:1 operator:4 transform:2 been:1 los:2 interest:1 miller:1 calgary:2 ph:1 was:2 theoretical:1 define:1 function:1 2x:1 generating:3 gauss:3 hoped:1 coherent:2 observe:2 hn:3 gx1:2 known:1 ii:1 springer:1 behaved:1 work:1 us:2 erd:1 placed:1 ms:1 were:1 property:1 ix:1 sees:1 mexico:1 vol:1 discussed:1 abstract:1 general:3 states:2 engineering:1 council:1 our:1 any:1 monroe:1 functions:5 magnus:2 odd:1 meekhof:1 sciences:1 quant:1 special:1 soni:1 department:2 new:3 parameter:1 higher:2 even:2 extended:2 may:1 preceding:2 after:1 polynomials:3 hand:2 ion:1 variable:1 andez:1 natural:1 pion:1 lanl:1 well:1 order:3 more:4 illuminating:1 exp:3 representation:1 chemistry:1 physics:1 4c:1 kalnins:1
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