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quant-ph9809055.txt |@word operations:2 positions:2 a00:2 a01:2 top:1 paper:2 transforms:1 decompositions:1 during:1 its:1 multiples:1 previous:1 how:1 alamos:1 ll:1 only:6 program:1 fig:3 eprint:1 s1:1 them:1 labels:1 they:1 immediately:1 bit:9 matrices:2 leftmost:2 compiler:1 february:1 transversal:1 level:1 inorder:1 arxiv:1 commute:1 arbitrary:1 reduced:1 right:2 computation:1 sep:1 used:2 flip:2 cancel:1 see:4 computer:1 b0:1 quantum:2 eq:5 special:1 out:1 subscripts:1 recording:1 matrix:4 bottom:1 robert:1 since:1 abl:1 label:2 increase:1 abr:1 vector:2 decomposition:3 above:1 between:1 3c:1 3b:1 3a:1 ref:1 method:3 3d:1 multiplied:1 lazy:5 rudimentary:1 bl:1 each:1 however:1 bj:2 standard:1 step:2 br:1 box:1 integers:1 central:4 many:2 according:1 o:1 example:2 remains:1 σx:8 products:1 com:1 other:2 involves:1 first:1 simplifies:1 regardless:1 into:2 number:4 three:1 ab:6 references:1 elementary:2 reducing:2 unit:1 differ:2 described:1 los:1 ordering:5 eqs:1 there:2 rightmost:2 next:1 their:1 call:1 way:1 ph:2 type:2 assumes:1 define:1 generating:1 operators:2 appendix:2 because:1 last:1 encountered:1 bedford:1 ma:1 tree:2 zero:3 value:2 will:1 optimization:1 suppose:1 following:1 called:1 decompose:1 unitary:1 abstract:1 describe:1 non:2 general:1 single:2 ar:1 arise:1 create:2 any:1 binary:1 nots:3 no:1 s2:1 nb:6 when:2 note:1 decomposing:1 valid:1 quant:2 adjacent:2 instead:1 you:1 ns:1 node:2 elements:3 a11:2 a10:2 i2:2 sequence:1 levels:1 sns:1 multiply:1 types:2 values:1 tucci:3 sj:1 so:4 exp:1 position:2 usual:1 order:6 left:3 |
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quant-ph9809068.txt |@word secondly:2 footing:3 consider:3 remarkable:1 brownian:1 leads:2 eds:2 issues:1 ceases:1 spirit:1 vigier:2 th:1 stochastic:3 prigogine:1 very:1 implicitly:1 rise:1 underscores:1 applicable:1 deals:2 small:1 equation:2 consistent:2 guidelines:1 direct:1 approximation:1 zero:3 perspective:1 sustaining:1 further:3 linear:3 universities:1 what:1 reminiscent:1 experiment:3 above:8 international:1 net:1 understanding:1 directions:1 causality:1 along:1 quite:1 equations:2 obtained:1 clarendon:2 shift:1 suitable:1 canada:1 unit:1 derivatives:1 conventional:1 takes:1 remains:1 centre:2 expanding:1 taken:2 type:2 theoretical:1 separated:1 successful:2 operators:2 rigid:3 observations:1 known:5 must:2 springer:1 tual:1 science:1 inertial:1 averaged:1 concepts:1 following:1 conformity:1 example:1 cosmological:1 give:1 relativistic:1 india:1 states:1 minimum:2 performed:1 sense:2 occur:1 information:4 provide:1 opposite:2 frontiers:2 symposium:2 our:3 thermodynamic:4 law:1 data:1 johnson:1 light:2 thorne:1 cosmology:2 so:2 ultimate:1 fundamental:1 acausal:1 dx:1 hyderabad:2 indeed:3 over:1 move:1 including:1 statistical:2 mentioned:1 deducing:1 observational:1 supplemented:1 relativity:3 coordinates:1 intl:1 mail:1 freeman:1 them:1 pure:1 newman:3 they:3 oxford:3 singularity:1 dirac:1 kerr:3 relativisitic:1 davydov:1 each:1 inherent:1 referred:2 energy:4 displacement:6 constitute:1 elementary:1 astrophysical:1 measurement:2 quantum:17 wavelength:2 special:1 borne:1 principles:1 large:1 space:12 particles:7 gov:4 ref:4 correct:1 perception:1 theory:12 standard:1 york:1 put:1 universally:1 created:4 times:1 length:1 place:1 consequence:1 first:1 origin:1 connotation:1 probability:2 variables:1 simplified:1 given:6 system:1 fermions:2 statement:3 variational:1 1n:2 scheme:1 penrose:1 likely:1 underpinning:1 determined:1 gives:2 treated:1 symmetries:1 san:1 well:3 mind:1 say:1 recover:1 apparently:1 any:2 elsewhere:1 lim:1 latter:1 gravity:1 sciences:1 take:1 play:1 towards:1 relatively:1 though:3 who:1 most:1 uncertainity:2 surprising:1 considered:1 coincides:1 order:1 proceedings:1 points:2 principle:1 mechanical:3 velocity:2 typically:2 fact:2 laws:14 structureless:1 violation:2 caldirola:1 based:1 apriori:3 should:1 only:5 black:6 isham:1 local:1 pointed:1 get:2 overall:1 nearly:1 words:2 new:2 reprint:1 processes:1 arxiv:1 naked:1 view:1 set:1 sep:1 blurred:1 computer:1 radius:1 best:1 gravitation:1 state:1 closed:1 simplest:1 drawn:1 reading:1 approach:1 initially:1 however:2 instant:3 compton:2 equal:1 roman:1 otherwise:1 conclude:1 corresponds:1 moreover:1 considers:1 hd1:1 locally:1 been:1 int:1 much:1 ph:5 define:1 addison:1 corresponding:1 commutes:1 xxx:4 last:1 former:1 case:1 straight:1 value:1 will:2 situation:1 non:4 according:2 itself:3 ramifications:1 ambient:1 different:4 constrained:1 lett:1 same:6 quant:5 finite:1 infer:1 independent:1 singapore:1 hand:2 infinite:1 recent:4 no:1 epr:1 firstly:1 position:1 latest:1 unaccelerated:1 being:1 generally:1 homogeneity:2 intervals:1 world:1 facts:1 gaeta:2 alternative:1 yet:1 point:3 character:1 thermodynamics:1 valid:2 garbaczewski:1 momentum:9 real:1 spinless:1 possible:1 cf:4 unification:1 background:6 press:4 immediately:1 accepted:1 advanced:1 mod:1 like:1 particle:5 δt:1 accelerating:1 zitterbewegung:1 δi:1 stationary:3 because:3 classical:1 back:1 francisco:1 happens:1 lead:1 measurements:1 instantaneous:2 ac2:1 does:1 refer:1 noise:1 arbitrary:2 wesley:1 corp:1 relating:2 about:3 universe:3 discussed:1 compatible:1 constraints:1 pergamon:1 within:1 bound:1 references:1 operator:4 proportional:2 schrodinger:1 strictly:1 there:5 approximate:1 conservation:13 quanta:1 misner:1 function:1 complete:1 newtonian:1 smolin:1 but:7 idea:1 mysterious:1 line:1 true:1 us:1 owing:1 limit:2 zpf:3 similar:1 mechanics:5 lanl:4 constant:1 homogenous:2 recognize:1 abstract:1 frames:1 general:1 sidharth:8 examine:1 formulation:7 ind:1 physical:4 infact:4 locality:2 when:1 field:5 other:5 role:1 mathematics:1 out:3 conclusion:2 picture:4 wheeler:1 separate:1 variation:1 important:1 implies:1 longer:1 pion:2 physics:4 interval:1 holes:6 δx:1 together:1 mass:1 nelson:2 time:11 observables:1 starting:1 |
quant-ph9809069.txt |@word kr1:1 stressed:1 depends:2 magnetic:3 separates:1 results:1 leads:3 eds:3 scalar:1 commute:2 edu:1 consists:1 follow:2 expressions:6 research:1 compact:3 whose:1 inverse:4 depend:4 pˆi:7 pˆj:5 tr:6 nonlocal:1 finally:1 behave:1 squeezing:27 preserved:2 under:9 exposition:1 analogous:2 include:1 norm:1 p2:1 fond:1 r12:1 expressing:1 advantage:1 orthogonal:1 very:7 frequencies:1 rise:1 keeping:1 dokl:1 wave:26 every:3 hck:2 difference:1 continued:1 condition:3 treating:1 school:1 obvious:1 presented:2 positions:7 notes:1 solution:6 labels:1 integro:1 vector:14 progress:1 section:3 indices:4 eigenvalues:1 optics:5 mo:1 application:1 smaller:1 force:3 oscillator:16 direct:2 approximation:2 second:6 plenum:1 evaluated:4 substituting:2 rigorous:1 invariant:6 cft:1 quite:2 canonical:2 even:7 employ:1 what:1 nonlinear:3 ˆx:1 specification:1 near:1 expressed:2 d3:51 current:1 heron:1 transformed:2 ˆi:9 ˆj:3 ever:1 method:1 satisfy:4 full:5 simultaneously:1 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quant-ph9809071.txt |@word limited:1 partial:1 consider:1 similarity:1 magnetic:2 varying:1 focus:1 afosr:1 existing:1 roy:1 commute:1 contains:1 computation:3 edu:2 consists:1 contributions:3 gj:8 devoted:1 alamos:2 environment:6 does:1 infinitesimally:1 present:3 weakening:1 under:6 γc:1 analogous:1 tc:18 indicating:1 ingredient:2 belonging:2 supported:1 far:1 frequencies:2 desired:1 choice:2 replaces:1 every:3 mixing:1 difference:1 matrices:1 condition:3 dim:3 induced:1 exponential:1 vibrational:1 hamiltonian:11 irreducible:1 trb:2 proposals:1 viable:1 large:2 vector:1 demonstrated:1 symmetrization:1 small:1 trs:2 configurations:2 measuring:1 work:2 concise:1 renormalized:1 pulse:2 sign:1 approximation:1 surrounding:1 second:2 design:1 displays:1 further:1 dynamics:8 implemented:3 odd:1 quite:1 linear:2 even:2 errors:2 stands:1 axes:1 contributed:2 networks:1 3k:1 ultrafast:1 above:1 designing:2 tranformations:1 method:3 contrast:1 quenched:1 full:2 behavior:2 degree:1 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quant-ph9809076.txt |@word limited:1 monte:1 gs:2 switched:3 caused:2 magnetic:18 desirable:1 results:4 four:1 scalar:1 broader:1 localized:1 increase:1 umel:1 illustrates:1 finally:1 stable:2 sent:1 letokhov:1 r13:1 orthogonal:1 very:3 resistance:1 print:1 sidebands:1 fall:1 experimentally:2 difference:3 bringing:1 illustrated:1 clouds:1 modulator:1 presented:1 direc:1 miniaturized:1 leave:1 vector:2 guiding:30 small:1 exhibits:2 optics:5 round:1 configurations:2 phillips:2 upper:2 smaller:3 illustrating:1 approximation:2 likely:1 design:1 enclosed:1 chen:1 further:1 carlo:1 established:1 trapping:6 rate:1 sum:1 find:1 current:31 experiment:2 above:3 3c:1 3b:1 3a:1 increasing:1 method:1 paradoxical:1 edited:3 agreement:1 simultaneously:1 eksp:1 component:1 here:1 atoms:76 desired:1 objects:2 situation:1 directions:1 along:13 strong:4 change:1 broken:1 technical:1 shift:1 study:2 losses:2 allows:3 bb2:1 accomplished:1 resulting:1 usually:1 shaded:1 changes:2 diameter:2 projection:2 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quant-ph9809077.txt |@word secondly:1 ponomarev:1 rev:19 magnetic:20 bull:1 leads:1 eds:2 scalar:1 computation:2 sears:1 follow:1 localized:1 hold:1 graph:2 technique:1 send:1 environment:1 finally:1 stable:1 te:1 alternating:1 fond:1 r13:1 advantage:1 orthogonal:6 very:5 springer:1 geometrical:1 refractive:2 cook:1 experimentally:1 splitter:3 school:1 issue:2 adjust:1 guiding:18 small:5 enhance:2 optics:12 inertial:1 smaller:2 miller:1 sin2:1 approximation:4 rate:5 design:4 kaiser:3 chen:1 manipulating:1 estimated:1 blue:1 index:3 trapping:18 deeply:1 section:1 selected:1 cell:1 version:1 above:9 waals:1 nev:4 international:1 tips:1 ground:7 waveguide:5 contrast:1 temperatures:1 edited:1 evanescent:20 westbrook:3 modify:1 here:2 atoms:70 desired:1 explore:1 q2:1 κx:3 compressed:1 address:1 2kl:1 along:3 µev:5 imperfections:2 magnetisation:3 jefferts:1 dehmelt:2 oxford:1 shift:1 fwf:1 larger:1 allows:1 repel:1 resulting:2 reduction:1 published:1 action:2 complicated:2 suitable:1 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quant-ph9809078.txt |@word concept:2 partial:4 consider:3 pointing:1 results:1 existing:3 comments:1 equivalences:1 certainly:3 compose:1 depend:2 equivalence:1 contained:1 recurrence:1 finally:2 tj:2 protocols:6 under:2 ρsi:1 indicating:1 case:4 far:1 choice:3 matrices:2 høyer:1 condition:4 dim:11 did:1 list:1 large:5 minimizing:1 small:1 upper:2 says:1 rate:8 rigorous:12 canonical:1 even:1 what:4 giving:2 sum:1 above:3 new:5 consisting:1 satisfy:1 led:1 respectively:1 concepts:1 here:4 desired:1 plenio:1 making:2 strong:1 interpret:1 obtained:1 sending:1 remark:4 barnum:1 allows:1 completely:7 suggests:1 products:1 schumacher:1 bob:5 via:3 vij:14 apply:2 linearly:1 use:6 takes:5 would:9 probabilities:1 positive:6 contains:2 permitted:1 linear:1 call:2 therefore:6 taken:3 type:3 more:2 sort:2 bennett:2 outputs:3 operators:4 apparent:1 mismatch:1 occurred:1 particular:3 cases:1 producing:1 must:2 account:1 room:1 err:1 recall:1 work:1 paragraph:1 obvious:2 containment:1 following:4 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quant-ph9809079.txt |@word argyres:1 concept:2 consider:5 roussev:1 caused:1 dynamic:3 focus:1 illustrated:1 quadrature:3 whose:1 inverse:2 depend:1 finally:1 case:9 supported:1 deforming:1 straightforward:1 very:3 2re:1 account:2 results:2 polytechnic:1 difference:1 exact:2 coon:1 manyparticle:1 treating:2 leads:1 annihilated:1 presented:2 turns:1 guo:1 solution:3 large:9 convenience:2 small:1 relation:17 application:1 force:1 oscillation:1 regained:1 direct:2 pulse:1 approximation:12 elegant:1 second:1 chen:1 further:1 dynamics:5 linear:3 even:2 what:1 nonlinear:5 abg:2 giving:1 sun:6 section:4 http:1 experiment:6 above:2 suppose:1 method:7 body:2 condensed:1 arik:1 realizations:1 component:1 abstractly:1 here:3 atoms:23 amplification:1 china:3 andrews:1 address:1 concluding:1 equations:1 obtained:1 likened:1 institute:1 reason:1 resulting:2 usually:1 opinion:1 chang:2 suitable:1 makes:1 composed:1 merely:1 limn:1 apply:1 total:10 use:1 handled:1 commun:1 calculation:1 explicitly:1 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quant-ph9809080.txt |@word incorporate:1 vorticity:1 consider:1 show:1 electromagnetic:1 over:2 global:1 superconductors:1 results:2 friction:1 feature:1 stability:1 through:1 virtual:1 dxdydz:1 excitations:1 agrees:1 rev:3 longitudinal:2 density:3 ln:1 spin:1 x0:6 less:1 negligible:1 topological:3 hg:1 intensive:1 freedoms:1 only:2 internal:1 microscopic:3 those:1 under:4 integrate:1 mail:1 kov:1 main:1 transformation:1 supercurrent:1 non:1 move:1 insensitive:3 around:1 advantage:1 implicitly:1 assuming:1 corresponds:1 electron:3 they:1 confined:1 affect:1 bogoliubov:2 difference:1 bardeen:1 transparent:1 leads:1 term:1 de:1 impurities:1 hamiltonian:3 ref:1 university:1 arxiv:1 integrated:1 large:1 vortex:15 nfr:1 fields:4 indices:1 found:1 stationary:1 its:1 kernel:3 another:1 force:6 methods:1 dωj:1 sep:1 hβ:4 spring:1 consistent:2 successfully:1 d3:8 direct:1 lett:3 cosh:1 approximation:1 sef:3 see:1 extended:1 static:1 uk:2 measurement:1 quantum:2 our:1 dynamics:7 transitions:1 eq:2 schr:1 umu:1 caldeira:1 xψ:1 dropping:1 cooper:1 impurity:2 supported:1 space:1 trivial:1 review:1 since:1 lagrangian:3 sweden:1 find:1 ume:2 state:1 does:1 above:1 between:1 prog:1 fermi:1 geometric:2 µf:3 approach:6 method:3 independence:1 gor:1 body:1 terms:3 nambu:1 after:1 recently:1 theory:2 localization:1 singularities:1 each:1 however:2 here:7 standard:1 prediction:1 small:3 unwanted:1 expansion:3 separation:1 2m:2 path:1 imaginary:1 auxiliary:2 properties:1 obtained:2 both:1 om:1 derivation:3 most:1 sundqvist:1 allows:1 o:1 sensitive:1 hω:1 berry:1 leggett:1 published:2 action:4 contribution:1 studies:2 zˆ:3 experimental:1 first:1 origin:1 meanfield:2 pairing:1 followed:1 sinh:1 symmetry:1 striking:1 h2:1 h0:3 integral:1 functional:5 contributions:1 pair:1 ii:1 references:1 tp:1 determine:1 rep:1 total:1 xv:10 along:1 gennes:1 conference:1 long:2 ek:3 ψk:6 introduction:1 assumed:1 eqs:1 there:1 been:5 next:1 systems:1 calculation:1 describes:1 damping:2 time:4 degrees:1 ph:1 brandt:1 type:1 theoretical:2 fk:7 naturally:1 function:7 introducing:1 direction:1 insensitivity:1 elsewhere:1 wavefunctions:1 successful:1 superfluids:4 interesting:1 odinger:1 but:1 transverse:7 neutral:1 carrying:1 therefore:1 too:1 niu:1 thouless:2 known:1 number:2 line:1 dissipative:2 former:1 present:3 fermionic:3 schrieffer:1 rotational:1 zhu:2 look:1 he3:1 was:1 equation:4 work:1 value:1 will:3 considered:1 while:1 determined:3 limit:1 behavior:1 following:2 distribution:1 more:1 matrix:1 average:1 detailed:2 partition:2 constant:2 defined:4 certain:1 abstract:1 vk:3 influence:5 ao:5 states:1 discussions:1 caused:1 together:1 point:1 iii:1 ann:1 regime:1 swedish:1 mutual:1 implemented:1 straightforward:1 depending:1 perform:1 latter:1 when:1 proceedings:1 same:1 arctan:1 chemical:1 ny:1 sixties:1 potential:3 quant:1 details:6 influences:1 department:1 green:1 parameter:4 gψ:1 spectral:2 begin:1 used:1 effect:1 demonstrates:1 earlier:1 vortices:1 functions:1 includes:1 br:1 extending:1 h2β:1 important:1 position:1 phase:3 describing:1 wave:1 response:2 manifested:1 recent:2 kb:1 natural:1 coupling:1 effective:6 dω:1 assume:1 physics:1 dτ:5 no:1 well:2 analysis:1 order:3 feynman:2 gap:1 electrons:1 fact:1 exp:2 correlation:1 representation:1 model:1 starting:1 self:1 se:1 bcs:5 |
quant-ph9809081.txt |@word code:9 consider:6 chain:1 gp:3 caused:1 osr:5 four:1 gf:1 gb:1 computation:6 remarkably:1 row:2 whose:1 inverse:1 calculate:1 irrelevant:2 show:4 tr:1 acting:4 environment:3 ρsb:4 finally:1 those:1 under:3 itly:1 applied:1 global:2 advantage:1 kraus:12 far:2 probability:1 stabilized:1 every:1 summarized:1 mixing:1 affect:1 concatenating:1 matrices:2 condition:8 leads:1 disturb:2 unlike:1 hamiltonian:10 cause:1 fragile:1 t2:1 occurs:1 detected:1 dealt:1 small:2 chuang:1 equation:3 ga:16 29th:1 bacon:4 direct:2 suffices:1 approximation:1 rate:7 qeccs:12 dynamics:1 estimated:1 envisions:1 linear:1 index:1 errors:22 diag:4 sum:4 λra:4 subspaces:4 new:2 increasing:1 satisfy:2 full:3 notions:1 respectively:3 equals:1 here:7 understanding:1 desired:1 explore:1 them:1 free:8 groups:1 berkeley:1 active:1 quite:1 ii:4 extreme:2 convert:1 barnum:1 leaves:1 allows:1 resulting:1 published:1 action:3 conveniently:1 stipulated:1 composed:2 formulated:1 apr:1 logical:1 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quant-ph9809082.txt |@word partial:3 consider:4 rev:5 results:1 commute:1 entropy:3 regularize:1 λij:9 certainly:3 ohya:1 tr:42 preserved:1 ti:2 conjecture:3 v11:3 straightforward:3 springer:2 choice:1 corollary:3 telling:1 matrices:2 condition:10 dim:19 tra:2 turns:2 large:1 manifestly:1 eigenvalues:1 noted:1 upper:2 smaller:1 force:2 rate:4 rigorous:1 further:2 linear:1 even:3 urruty:1 optimize:1 version:3 above:2 sup:2 new:6 increasing:2 consisting:1 contrast:1 compact:1 full:2 simultaneously:1 αij:7 never:1 here:4 ranges:2 desired:1 plenio:5 groups:1 others:1 consideration:1 respect:1 appears:1 z2:2 remark:7 larger:2 extremes:1 resulting:2 published:3 complicated:3 bob:1 history:1 involves:1 uniquely:1 via:1 projection:1 family:1 apply:4 readily:1 use:3 additive:9 would:4 remains:3 positive:14 hilbert:4 therefore:1 taken:1 more:4 optimizing:1 bennett:2 clearly:2 becomes:1 operators:7 under:3 berlin:2 particular:8 known:1 must:6 logarithm:1 high:2 account:1 room:1 equation:2 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quant-ph9809084.txt |@word represent:1 partial:1 consider:3 rev:22 global:1 brownian:2 focus:1 leads:1 eds:4 entropy:4 edu:1 follow:1 issues:1 gr:3 mazur:1 certainly:1 inverse:1 everything:1 deterministic:2 environment:12 finally:3 program:1 lanford:1 th:2 under:2 maryland:3 blh:1 hibbs:1 2γk:2 alternatives:1 seemingly:1 decide:1 difference:1 continued:1 paz:2 presented:1 lombardo:1 ref:1 t2:2 applicable:1 t0:19 t1:2 large:4 zeh:1 small:1 gauge:1 equation:7 configurations:2 concluded:1 smaller:1 zh:1 periodicity:1 decoherent:4 consistent:2 brill:1 second:5 chen:1 dynamics:4 chem:1 calzetta:7 theory:7 spectral:1 d35:1 what:1 thermostatistics:1 wavenumbers:1 sum:1 brief:1 uniform:1 above:2 lifshitz:1 new:9 consisting:3 movement:1 body:1 edited:4 exchange:1 respectively:1 here:2 free:9 excess:1 alone:1 path:3 equations:8 change:3 aif:7 ctp:8 identifiable:1 study:2 experience:1 couplings:1 suggests:1 kubo:1 usually:2 fourier:3 makes:1 der:1 involves:1 via:1 griffiths:1 claim:1 vii:1 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quant-ph9810001.txt |@word measurements:1 protocol:1 affairs:1 fourfold:2 transmitting:1 indeed:1 altogether:1 illustrated:1 sources:2 selection:2 statistical:1 modified:1 fidelity:5 d2:4 priori:1 d1:4 destructively:1 implementation:1 polarizing:1 photons:1 less:1 specified:1 posteriori:1 containing:1 terminal:1 only:3 potential:1 threefold:2 fig:3 constitutes:1 under:1 wales:1 alternatively:1 might:1 into:1 match:1 emphasize:1 non:2 mixture:5 motivated:1 than:2 splitter:1 beams:1 samuel:1 number:1 beam:4 remedy:1 resolve:1 vacuum:5 arriving:1 detector:1 condition:1 four:1 term:1 propagating:1 pbs:2 fields:1 university:1 arxiv:1 alice:3 cascading:1 sufficiently:1 bangor:1 yields:1 follows:1 rev:1 output:2 essential:1 randomly:1 set:1 classical:3 achieved:2 consistent:1 reduce:1 lett:1 up:1 detection:6 second:1 obtains:1 measurement:1 quantum:7 laboratory:1 implemented:2 alternative:1 generates:1 detecting:1 subsequent:1 selected:2 definite:1 comments:1 state:15 experiment:3 eliminate:1 provides:1 simplest:1 demolition:1 receiving:3 conditions:1 contrast:1 destroys:1 terms:2 relative:1 nature:2 respectively:1 never:2 teleportation:12 however:2 desired:1 statistics:1 california:1 ask:1 article:1 appropriate:1 equations:1 appears:1 obtained:1 advance:1 pairs:2 ref:4 cou:1 anything:1 created:1 institute:1 freely:1 could:4 local:1 exploitation:1 a2:2 undesirable:1 bob:9 experimental:1 upgraded:1 emerge:1 initial:1 demonstrating:1 f1:3 requiring:1 ca:1 obtaining:1 implications:1 coincidence:5 down:4 ii:1 because:1 leaves:1 pling:1 moreover:1 total:1 between:1 select:1 conventional:2 necessarily:2 would:1 analogies:1 unknown:1 there:1 question:1 accordingly:1 station:6 examination:1 structure:1 fraction:1 quanta:1 ph:1 scheme:3 was:1 more:1 lowest:1 faced:1 corresponding:1 complete:1 enhancing:1 sending:1 relaxed:2 photon:4 input:2 despite:1 abandoning:1 proposal:1 coefficients:1 coupling:1 approximation:1 converter:1 joint:1 whether:1 type:1 setup:1 single:1 oct:1 recording:1 states:3 converted:1 achieve:2 uk:1 freedom:1 strategies:1 gives:1 example:2 procedure:2 pre:1 bridge:1 f2:3 epr:1 bennett:2 general:1 high:3 fail:1 kimble:1 ij:3 our:1 tomography:1 exclude:1 counting:1 technology:1 physical:2 information:2 burgeoning:1 bouwmeester:7 verified:1 no:1 provide:1 seek:1 means:1 when:3 consumer:1 same:1 polarization:3 field:5 pasadena:1 quant:1 wavepacket:2 answer:1 teleported:2 sii:2 projects:1 events:2 independent:1 used:1 norman:1 teleport:1 conversion:2 prepared:1 a1:2 a0:2 important:1 significant:1 end:1 strength:1 achievement:1 destruction:1 attempt:1 modes:3 effective:1 surrogate:1 physics:1 calculated:1 detectors:3 yielding:1 order:1 braunstein:1 si:2 so:2 components:1 parametric:2 original:2 fact:1 |
quant-ph9810002.txt |@word proposition:3 partial:2 consider:4 funct:4 rev:1 brownian:3 results:2 gottschalk:3 scalar:3 commute:1 gn:1 research:1 albeverio:10 compact:1 c0:1 ver:1 diffusions:1 γj:2 γn:10 under:1 stochastic:15 x01:3 norm:1 orthogonal:1 very:3 p0j:1 scienta:1 every:2 continued:1 condition:3 x0j:2 x0n:3 level:1 notes:1 solution:8 large:1 admissible:3 vector:1 ml:2 markov:5 programme:1 measurable:1 matrices:1 limǫ:1 zero:3 invariant:4 dynamics:2 theories:2 theory:11 spectral:1 nonlinear:4 stands:1 invertible:1 euclidean:5 version:4 morchio:3 above:3 glimm:1 new:3 ground:1 exchange:1 prato:3 fields:7 here:5 bi:2 behaviour:1 objects:1 free:7 directions:1 zielona:1 equations:10 change:1 obtained:5 remark:2 symetric:2 suitably:1 institute:1 study:1 studied:2 krohn:1 poisson:5 action:2 fourier:2 sci:1 γp:1 family:1 first:2 univ:1 would:1 intensively:1 covariant:18 positive:4 contains:1 negative:2 definition:1 germ:1 few:1 m1:2 therefore:1 eϕ:1 means:2 type:8 theoretical:1 more:1 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quant-ph9810003.txt |@word ibid:5 limited:2 sci:1 consider:1 remarkable:1 rev:24 varying:1 edo:1 four:1 avalanche:1 selection:1 overlap:1 computation:1 maximally:1 depend:1 alamos:2 technique:1 waveplate:7 nonlocal:1 finally:1 does:1 those:1 odinger:1 division:1 belonging:1 advantage:1 orthogonal:1 very:4 frequencies:1 tanθ:1 results:2 every:2 sensitivity:1 refractive:1 experimentally:2 entire:3 squares:1 pbs:4 level:2 transmission:1 issue:1 brendel:1 colors:2 large:1 convenience:1 coincidences:5 inserting:1 ten:1 degrading:1 sin2:1 direct:1 unpolarized:1 located:1 zero:3 displays:1 theory:1 spectral:1 index:1 nonlinear:5 rate:14 selected:1 while:5 thickness:3 current:1 clauser:2 new:2 3a:1 ever:1 method:2 philippe:1 simultaneously:1 submitted:1 degree:3 exchange:1 respectively:1 teleportation:3 here:2 hundreds:1 reported:2 cos2:1 berkeley:2 directions:3 path:2 along:2 strong:1 obtained:3 daughter:1 shift:3 losses:1 resulting:3 permit:1 formation:1 birefringent:3 changes:1 diameter:4 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quant-ph9810010.txt |@word limited:1 consider:4 rev:12 lack:1 focus:1 leads:4 dbj:1 consists:1 follow:1 research:1 gr:7 depend:1 nonlocal:1 finally:3 restriction:1 present:11 worth:2 p2:1 very:2 choice:2 every:1 orientations:5 experimentally:1 emphasized:1 school:1 immediately:2 cause:1 applicable:1 discrete:1 phase:3 small:2 referred:1 optics:2 noted:1 smaller:1 ten:1 consistent:2 approximation:2 second:9 microphysical:1 even:3 appear:1 apparatus:4 incompatible:1 sum:4 axes:3 nec:1 version:1 above:3 new:3 contrast:1 satisfy:2 edited:3 simultaneously:1 here:1 cos2:3 address:1 directions:1 path:2 along:19 standard:1 equations:1 change:1 incoming:2 rigorously:1 larger:10 gle:1 simultaneous:2 usually:2 der:1 transmittance:2 spatially:2 family:3 merwe:1 vii:1 polarizers:20 inequality:86 formulates:1 counts:4 use:2 prove:1 probabilities:16 contains:1 negative:1 emits:3 noting:1 therefore:3 aperture:3 2y2:29 more:2 separated:2 becomes:4 postulated:1 emission:4 validity:2 tested:1 needed:2 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quant-ph9810011.txt |@word represent:1 measurements:1 consider:4 rev:28 γn:1 results:3 four:1 scalar:1 commute:2 sandhya:1 computation:2 follow:1 expressions:4 replacements:1 iii:3 umezawa:4 pfau:1 γt:8 environment:2 finally:4 γo:1 present:1 include:1 norm:1 overlaps:2 straightforward:1 wave:1 electron:1 overcomes:1 experimentally:1 associated:1 exact:3 condition:3 leads:1 school:1 smithey:1 presented:2 knight:1 solution:3 solved:1 vector:5 optics:1 noted:2 aρa:1 2k3:7 ρm:1 direct:1 hillery:1 cosh:2 likely:1 eλk:1 further:1 dynamics:20 dunn:1 even:1 nonlinear:9 appear:1 giving:1 section:3 brief:1 expressed:8 en:1 above:2 new:2 raymer:3 condensed:1 full:1 led:1 ibid:2 respectively:2 here:7 beck:1 simon:1 sinh:3 represented:4 equations:8 differential:1 obtained:2 identifiable:1 studied:1 eberly:1 action:2 holmes:1 useful:7 family:8 brought:1 apply:1 tools:1 eiωt:5 conventional:1 prove:1 a27:1 properties:2 a53:1 a52:1 therefore:3 taken:1 squeezing:2 doubling:1 compactly:1 cahill:2 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