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quant-ph9704021.txt |@word secondly:2 magnetic:1 consists:3 whose:2 violate:2 γk:4 whatsoever:2 under:23 characterised:3 rise:5 every:1 summarized:2 experimentally:1 supports:2 solution:7 correct:4 vector:3 guiding:1 force:1 miller:1 consistent:2 direct:2 elegant:4 second:5 rigorous:1 implemented:1 even:13 ˆr:4 specification:1 above:15 new:7 evolving:2 here:6 localisation:1 met:1 represented:1 interpret:1 obtained:3 leaves:1 changed:1 approaches:1 stressed:2 changes:3 appropriately:1 highly:1 brought:1 extraneous:1 total:2 circumvent:3 linearly:1 derivatives:5 would:20 statevector:2 kinematics:2 therefore:3 survive:1 type:5 until:1 separated:1 supporters:1 brings:1 odinger:12 aware:1 hold:2 must:5 me:1 mc:1 mi:1 entertained:1 theories:30 macroscopically:2 mv:5 my:2 example:4 indicated:1 give:7 relativistic:2 stressing:1 involve:3 want:3 david:1 cushing:4 guarantee:5 vanish:1 feature:10 how:5 nontrivial:1 significance:2 answer:1 ordinary:1 preferable:1 description:4 after:1 demanding:1 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quant-ph9704022.txt |@word consider:1 rev:3 magnetic:8 manfredi:1 inverse:1 calculate:1 th:1 very:1 verh:1 difference:1 riemann:1 hamiltonian:4 solved:2 relation:1 equation:6 encloses:2 approximation:1 second:5 µe2:1 spectral:1 sum:1 uniform:4 poles:2 3m:1 fractional:3 new:1 method:2 3e:1 coefficient:1 condensed:1 full:1 here:1 objects:1 separation:1 address:1 represented:1 path:2 along:1 strong:2 change:1 extreme:1 obtained:5 study:4 published:1 action:1 changes:1 via:2 apr:1 raphson:1 apply:1 total:1 readily:1 negative:3 introducing:1 company:1 corrected:1 odinger:2 particular:1 known:1 cases:2 springer:1 quantized:2 dfpd:1 modified:6 reviews:1 following:1 root:2 high:1 axis:1 get:2 pura:1 anyon:1 instead:3 parameter:1 sin:1 sommerfeld:1 derived:1 residues:4 plane:2 inst:1 verified:1 explicit:1 negligible:2 integrand:5 order:6 developed:1 whilst:1 paper:1 through:1 statistical:1 y1:2 existence:1 y2:1 its:1 roots:2 derive:2 solving:2 coordinates:1 li:2 previously:1 degrees:1 systems:2 non:1 good:1 numerically:2 introduce:1 landau:3 maslov:1 rotation:1 now:1 hall:2 eigenvalue:1 term:2 2f:1 2g:4 luca:1 l0:4 radial:1 universit:1 2h:1 el:1 square:2 ed:1 energy:3 eb:8 applicata:1 ez:1 quantum:6 our:1 eq:3 neighbourhood:1 prange:1 space:1 res:4 nuovo:1 since:1 lagrangian:4 particles:1 forte:1 rg:2 istituto:1 formula:6 ref:1 math:1 voros:1 fisica:1 york:1 e2:9 interaction:7 r1:7 r2:6 r3:2 days:1 motion:3 corrections:1 first:4 separable:2 indebted:1 variables:2 number:2 electronic:1 angular:2 wilczek:2 given:5 necessarily:1 temperature:1 anyons:10 dipartimento:1 system:5 gives:2 myrheim:3 explanation:1 x2:1 x1:1 than:1 approximations:1 cimento:1 matter:1 powers:1 involution:1 boston:1 correction:3 modern:1 spectrum:4 recover:1 angle:1 generalized:2 so:2 formulas:3 caustics:1 algebraic:2 sheets:1 phase:1 analytically:1 laurent:1 calculated:2 points:1 physics:2 fact:1 joining:1 gauge:1 only:1 candidates:1 integrable:3 ges:1 goes:1 di:4 simplest:1 dr:8 arxiv:1 summary:1 nθ:15 analytical:2 hθ:3 achieved:1 see:1 result:1 discussions:1 enlightening:1 µr:2 symmetric:1 written:2 between:1 fermi:2 pictured:1 terms:1 importance:1 weak:1 robnik:2 p2r:2 bose:2 suggested:1 cos:1 last:1 many:2 equal:1 zeeman:4 quantization:8 simple:1 each:1 dimensional:1 pole:1 5e6:1 pr:2 publishing:1 trajectory:1 due:1 been:3 int:1 azimuthal:1 ph:1 deduced:1 ann:1 direction:1 sufficient:1 observe:1 c2:1 case:5 evaluated:1 discretize:1 girvin:1 ir:2 4c2:1 surface:1 reads:2 italy:2 author:1 poincar:1 complex:2 quant:1 finite:1 higher:1 week:1 independent:1 singapore:1 effect:2 expand:1 recent:1 2gr:2 schr:2 center:2 nucleare:1 bohr:1 thought:1 easily:1 model:1 salasnich:4 arising:1 just:1 less:1 newton:1 obtain:5 torus:10 using:7 momenta:1 leinaas:2 preprint:1 lett:2 theorem:3 momentum:1 iθ:3 represents:1 res0:3 possible:1 early:1 confined:1 integer:1 mod:2 marzolo:1 semi:1 follows:1 collective:1 integrals:1 arbitrary:2 reduced:2 reidel:1 because:1 classical:2 phenomena:1 back:1 choosing:1 neglecting:1 dimensions:2 integration:1 unipd:1 who:1 sezione:1 2µc:5 2c:3 expansion:3 substitution:1 2µr:2 world:1 freedom:1 pθ:9 greatly:1 introduced:1 letters:1 h2:1 integral:3 three:1 references:1 inverting:1 einstein:2 statistics:5 way:3 was:5 form:1 some:3 but:3 matematica:1 line:1 padova:4 2πi:1 up:3 us:2 limit:2 problem:2 called:1 mechanics:2 constant:2 defined:1 certain:1 abstract:1 scientific:1 dθ:1 nazionale:1 again:1 arctan:1 field:8 other:1 branch:1 nr:13 polar:1 superconductivity:2 important:1 coulomb:6 mass:3
quant-ph9704023.txt |@word irs:3 show:1 numbering:1 press:1 gk:1 find:1 expansion:1 causality:1 thank:1 decay:1 had:1 written:1 cavalcanti:1 ıa:2 critical:1 differently:1 alberto:1 do:1 asymptotically:2 janeiro:1 dependent:1 survival:2 de:3 term:1 wave:1 arag:1 they:1 resonant:1 using:2 mateos:2 dr:5 moshinsky:2 evolution:2 follows:3 arxiv:1 t3:1 t1:1 large:1 carlos:1 because:2 financial:1 some:1 carvalho:1 see:1 investigated:1 result:1 quantum:1 eq:6 out:1 since:2 rev:1 cancels:1 state:1 behave:1 new:1 reading:1 ref:2 coefficient:1 initially:1 ısica:1 however:1 departamento:1 reported:1 calder:2 york:1 kn3:1 ikn:1 asymptotic:1 definition:2 interaction:1 brasil:1 region:1 according:1 times:1 range:1 olica:1 eqs:1 comment:2 already:1 cn:2 apr:1 within:1 garc:2 directly:1 cs:1 cr:1 use:1 rewritten:1 prove:2 probabilities:2 support:1 relations:2 dispersion:1 their:1 therefore:1 ph:1 lett:1 function:3 exactly:1 ıcia:1 parentheses:1 particular:1 cnpq:1 completes:1 showed:1 pacs:1 equation:1 work:2 us:1 cat:1 un:11 following:1 example:1 proof:1 rewrite:1 ao:1 rio:1 numbers:1 universidade:1 again:1 academic:1 convenient:1 whereas:1 when:2 vanishes:1 note:1 located:1 quant:1 instead:1 finite:1 pontif:1 literature:1 purpose:1 constants:1 ago:1 nussenzveig:1 spectra:1 kn:5 analysis:1 ks:1 kr:1 green:1 time:4
quant-ph9704024.txt |@word limited:1 concept:5 consider:1 magnetic:5 reversibility:5 results:14 leads:1 expressions:4 faster:2 contributions:1 causes:3 whose:1 inverse:2 depend:8 environment:1 finally:2 compensate:1 those:11 excluded:1 under:17 td:5 alternating:40 case:8 amplitudes:1 g2:4 g1:6 very:4 desirable:1 rise:1 wave:1 every:3 orientations:8 resonant:1 experimentally:1 difference:2 exact:3 condition:3 manyparticle:1 discovered:1 magic:22 level:1 did:1 turns:1 t2:5 solution:3 t1:37 leave:1 solved:2 quick:2 20th:1 prevent:1 smaller:1 slower:2 version:1 sin2:1 pulse:46 sign:8 approximation:4 surrounding:2 second:5 compensates:1 qualitatively:1 odd:2 even:3 established:2 rate:2 giving:1 sum:3 circumstance:1 expressed:1 experiment:6 demagnetization:1 goes:1 values:7 3g:3 90o:3 body:1 measurements:5 reverses:2 respectively:1 component:6 here:3 behaviour:4 following:4 magnetism:1 objects:1 possibility:1 relaxation:6 consideration:1 strong:4 equations:18 appears:3 change:14 obtained:2 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quant-ph9704026.txt |@word consider:13 rev:2 results:1 four:2 gb:1 grateful:1 nwo:1 whose:3 deterministic:1 nonlocal:1 alberta:1 analogous:1 include:14 sent:2 case:22 string:6 condition:1 partitions:1 turns:1 fewer:1 correct:1 convenience:1 harry:1 zn:3 sion:1 zi:2 second:4 perspective:9 concludes:1 greenberger:1 substitute:2 even:4 established:1 what:1 richard:2 t2n:1 section:1 expressed:1 version:1 suspect:1 3n:2 above:3 obvious:1 consisting:1 exercise:1 satisfy:1 edited:1 exchange:1 respectively:3 lev:1 alone:1 z1:3 box:1 sending:4 remark:2 receive:1 involved:1 prior:4 accomplished:1 resulting:1 bob:33 involves:2 apr:1 private:1 outcomes:1 send:11 apply:4 should:1 use:2 would:3 probabilities:1 contains:3 next:2 call:2 therefore:8 calgary:2 stage:1 today:1 more:1 separated:1 introducing:1 subcases:2 fortnow:3 successful:1 outputs:2 acceptable:1 holt:1 particular:1 known:2 cases:3 must:10 high:1 recall:2 work:7 rb:5 grover:2 values:31 learn:2 following:5 example:3 proof:5 esprit:1 share:1 states:1 spi:1 minimum:1 numbers:1 spn:1 allowed:1 phrase:1 occur:2 presently:1 information:6 respective:14 goal:6 buhrman:1 s1:8 holds:1 write:1 maps:1 answer:3 instead:2 inputs:4 product:3 may:1 sp1:1 after:3 needs:2 data:3 types:1 third:1 sp:1 yielding:1 element:3 si:8 so:1 sc:6 sb:6 sa:9 order:5 operations:1 restriction:1 s0:24 through:1 y1:7 y3:1 y2:1 before:1 group:1 thank:1 interesting:1 actually:1 broadcasts:3 partitionings:1 might:1 yi:6 conveying:1 them:3 combination:1 yn:6 effects:2 they:3 now:4 possess:2 easily:1 netherlands:1 always:3 university:2 possibilities:9 each:14 2n:1 2k:1 individually:1 disregarding:1 weight:4 einstein:1 reduce:3 idea:1 related:1 used:5 obtains:3 measurement:1 quantum:11 our:2 operation:1 eq:5 out:2 canada:2 divincenzo:1 shown:1 since:4 induces:2 cwi:2 ra:4 performs:1 rc:5 receiving:2 suffices:3 occurs:1 1n4:1 theory:1 standard:1 completely:2 formation:1 jozsa:1 log:2 language:1 starts:1 impose:1 david:1 turn:1 place:1 first:6 xi:25 xn:5 symmetry:2 xb:6 xc:6 xa:9 kafatos:1 number:8 done:1 impossible:1 xp:1 little:1 eqs:1 convention:2 bits:25 behind:1 acquire:3 broadcast:1 part:2 simulate:3 x2:1 x3:1 x1:6 than:2 specify:1 begins:1 namely:1 project:1 classes:3 enables:2 exhibit:2 qpi:2 qpn:2 generality:5 argument:1 bitwise:1 say:1 ccr:1 any:1 viewed:1 mermin:2 able:1 complexity:9 note:3 instance:1 useless:1 exactly:1 unless:1 though:3 who:3 compress:1 involving:1 contrasts:1 qp1:2 measured:4 class:2 considered:1 partition:2 points:3 physics:3 fact:1 incorporate:1 show:7 supported:2 relation:1 hc:1 substituting:2 based:2 original:1 distributed:3 state:5 operational:1 lemma:2 only:7 surveyed:1 do:2 his:7 means:2 cannot:7 report:1 symmetries:1 him:1 exhibiting:1 podolsky:1 arxiv:1 method:1 qa:3 qc:1 she:2 contain:1 qi:8 communicated:2 set:1 modulo:5 exists:1 physically:1 violated:1 see:1 computer:1 result:2 discussions:1 terms:2 nonlocality:2 subject:1 shimony:1 qubits:5 enough:1 between:4 recently:1 extend:1 initially:3 distinguish:1 problem:2 both:10 providing:1 improved:1 nserc:1 context:1 otherwise:1 among:17 alternate:1 point:2 ca:1 whatever:1 moreover:1 basis:2 addition:1 three:14 ph:2 enable:1 0s:6 sufficient:2 zeilinger:1 zero:1 applied:3 pacs:1 examine:1 value:9 remaining:1 will:9 suppose:1 shall:1 seven:1 thus:5 examined:2 triple:1 binary:6 different:4 grant:1 same:1 clearly:2 quant:2 arguments:1 party:11 several:1 extended:1 imply:1 effect:1 hand:3 kushilevitz:1 entanglement:16 lower:4 scenario:6 nevertheless:1 well:1 vaidman:1 academic:1 without:10 model:2 possesses:1 entangled:8 protocol:15 just:1 less:1 rosen:1 obtain:3 immediately:1 alternative:1 like:1 kluwer:1 bell:4 guaranteed:1 improvement:1 lett:1 versa:1 theorem:1 input:4 mod:1 transformation:1 aspects:1 depends:1 possible:18 know:1 press:1 using:2 bit:45 occurring:1 loss:4 necessary:4 lost:1 particle:2 follows:2 reduces:1 performing:1 alice:60 separately:1 communications:2 yields:1 either:3 arbitrary:1 output:1 works:1 reduced:1 specifies:1 parity:1 classical:5 sends:9 some:3 deduce:1 examples:1 convey:2 total:2 measurements:3 instantaneous:1 does:3 expressing:1 ucalgary:1 particles:12 demonstrated:1 power:1 equivalent:2 substituted:1 although:2 hadamard:1 carol:22 bz:1 science:1 chapter:1 about:2 working:1 universe:1 ob:1 o:1 distinct:1 horne:2 act:1 insufficient:1 cambridge:1 communication:29 into:3 bound:4 references:1 determine:14 parties:8 amsterdam:1 xpi:1 xpn:1 her:2 suffice:3 there:11 question:1 transform:1 specifically:1 inner:3 way:2 subsumed:1 function:13 but:6 remote:2 he:1 count:1 partitioning:7 compute:5 nisan:1 whether:2 us:1 dordrecht:1 below:1 xp1:1 similar:3 called:1 computing:2 defined:1 certain:2 measure:1 am:1 general:2 eu:1 single:4 again:1 functions:2 nl:1 no:19 fixing:1 whereas:7 when:5 conceptions:1 other:6 department:1 nr:1 arithmetic:3 lance:1 preceding:1 allowing:1 independently:1 implies:2 vice:1 assume:4 clauser:1 required:1 together:1 strings:1 cleve:1 having:1
quant-ph9704027.txt |@word logarithms:3 code:1 consider:18 springer:2 informally:1 reversibility:1 results:3 four:1 proposition:4 generalize:5 montr:3 computation:13 consists:11 gn:4 denotes:6 gi:4 whose:1 preserves:1 simon:59 zmn:1 alamos:3 deterministic:3 editors:1 factoring:3 finally:4 restriction:1 helps:1 th:1 under:4 presentation:1 norm:2 applied:5 random:15 amplitudes:1 string:1 advantage:1 orthogonal:19 very:3 translation:1 rise:1 removing:2 choice:1 print:3 corollary:4 p1:1 worst:8 decide:3 little:1 exact:11 høyer:3 condition:1 ibm:2 randomness:1 quantumly:1 subsets:1 solves:1 did:1 suffices:4 notes:1 having:1 solution:9 t0:20 occurs:5 large:1 solved:6 phase:4 independence:2 dealt:1 small:3 zm1:1 optics:1 originally:1 programme:1 still:1 ville:1 smaller:3 says:1 grateful:1 deutsch:3 subproblems:2 direct:3 jump:1 elegant:1 zero:23 evaluated:1 picked:3 follow:1 7th:1 further:2 ruled:1 implemented:1 zp:1 machines:1 belief:1 even:4 index:4 what:4 appear:4 giving:4 section:15 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quant-ph9704028.txt |@word limited:1 unavoidable:1 consider:1 caused:1 computation:25 follow:1 deterministic:1 braginsky:1 factoring:1 tn:3 program:2 tj:19 tc:14 case:5 string:11 wave:1 drever:1 every:4 exact:1 condition:2 school:1 turns:1 t2:3 t1:3 discrete:2 vector:4 configurations:1 concluded:1 deutsch:8 boca:1 maintain:1 initialized:1 machines:4 even:3 what:2 cell:2 above:2 new:1 public:1 filled:1 raton:1 edited:3 simultaneously:1 respectively:1 sandberg:1 focused:1 represented:5 path:1 vorontsov:1 change:1 obtained:1 great:1 uspehi:1 goldwasser:2 ignoring:1 simultaneous:1 myers:6 changes:5 projection:6 outcomes:3 alamitos:2 use:1 prove:7 positive:2 nagoya:2 hilbert:1 noting:1 call:1 therefore:2 usp:1 taken:1 more:2 successful:1 operators:2 apparent:2 spoils:1 odinger:2 validity:2 flag:8 known:1 foundations:2 cases:1 iii:2 logarithm:1 valued:1 science:2 originally:1 work:2 london:4 worth:1 cal:1 following:3 proof:2 transition:4 synchronized:1 states:1 contradicts:1 numbers:6 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quant-ph9704029.txt |@word gt:18 consider:6 rev:3 magnetic:1 amplifier:1 results:2 leads:2 eds:2 show:1 preprint:2 finally:2 critical:1 present:1 under:2 stochastic:15 nonassociative:1 case:5 very:1 choice:1 exact:1 condition:2 splits:1 school:1 hamiltonian:6 solution:7 t1:1 large:1 solved:3 small:1 optics:9 renormalized:3 pulse:4 approximation:2 zero:1 traveling:1 further:1 dynamics:2 volovich:3 theory:9 even:2 what:2 nonlinear:18 sum:1 expressed:1 kuo:1 ito:3 above:1 new:3 acknowledgments:1 satisfy:2 measurements:1 deduces:1 b2t:2 here:3 κt:5 consideration:6 equations:5 appears:1 interpret:1 obtained:2 institute:1 study:4 studied:1 products:2 poisson:4 hospitality:1 studi:1 makes:1 involves:1 accardi:4 useful:1 apr:1 plenum:1 use:2 takes:1 would:2 contains:1 nagoya:3 hilbert:1 therefore:3 ψb:4 scope:1 volterra:3 type:1 more:4 becomes:1 operators:8 known:1 must:1 springer:3 equation:23 work:1 cat:1 ch2:3 fock:4 values:2 following:8 example:5 abram:1 f1:3 f2:3 renormalization:6 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quant-ph9704031.txt |@word limited:1 similarity:1 interference:5 desirable:5 nato:1 four:1 entropy:1 factorizing:1 whose:7 under:8 ontological:1 worth:7 summarizes:2 conjecture:5 wjm:2 rise:2 replaces:1 every:15 affect:1 em:12 encounter:1 school:1 internally:1 suffices:1 venue:1 solution:9 admissible:3 convenience:1 vector:16 guiding:1 indices:1 notationally:1 degeneracy:1 uncovers:1 lagrangian:1 nullspace:6 decoherent:2 consistent:169 direct:4 surrounding:1 second:10 entr:1 rigorous:5 even:19 employ:4 disk:1 cosmologists:1 selected:1 supplied:1 reconstruction:4 designing:1 new:11 ever:2 consisting:1 whelan:1 coefficient:2 evolving:1 simultaneously:1 notions:2 never:4 equals:1 here:45 asymmetry:1 represented:12 path:1 obtained:5 property:21 sesqui:2 rigorously:1 study:7 characterizing:2 permit:3 california:1 spacetime:3 york:1 appropriately:1 projection:40 classification:3 explained:1 julia:1 highly:3 moran:1 circumvent:1 rω:8 linearly:28 would:28 e1:1 gloss:1 negative:10 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quant-ph9704039.txt |@word monterey:1 sci:1 consider:13 pointing:1 funct:6 lack:1 results:12 leads:1 iim:3 scalar:8 proposition:18 ajk:4 ga:1 stochastically:38 θf:3 gl:2 gk:3 c1:2 cb:3 soc:2 compact:5 preserves:1 inverse:10 const:2 kinetic:3 paris:1 tt:30 equivalence:5 lence:1 worth:1 former:1 tn:17 kβ:21 quasi:28 does:1 tj:3 tk:11 under:4 tf:9 stochastic:33 analogous:3 multilinear:2 γf:4 norm:11 case:42 multitime:1 supported:1 infinite:1 g2:3 g1:2 md:2 very:2 homogeneous:1 rise:1 dobrushin:2 splitting:8 rl:1 corollary:4 mf:1 every:40 multicomponent:1 lecture:1 ln:3 skew:1 continued:4 condition:8 kondratiev:2 school:1 induced:1 complexification:1 δt:2 presented:1 bn:4 proc:1 visits:1 t2:1 ge:60 t0:1 t1:17 winter:1 solved:1 vector:17 separates:1 interpolating:1 indices:1 relation:1 markov:11 rk:7 glued:1 zn:4 smaller:1 computation:1 periodicity:3 zk:2 zd:14 ze:2 estimates:1 direct:7 ornstein:2 cosh:4 matrices:1 second:3 l2r:5 surface:3 pass:1 rigorous:3 further:1 dynamics:3 mj:2 wϕ:2 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quant-ph9704040.txt |@word isotypic:3 concept:1 homomorphism:1 consider:9 funct:1 entropy:8 gl:6 whose:2 ohya:1 equivalence:1 tr:19 quasi:4 th:1 under:1 g2:6 g1:15 orthogonal:6 choice:1 wishes:2 every:1 condition:6 dim:2 irreducible:23 discrete:1 vector:2 anal:1 dir:1 consistent:1 measurable:3 approximation:1 theory:4 spectral:1 invertible:1 section:2 uniform:1 access:1 sup:4 new:1 acknowledgments:1 fujiwara:1 simultaneously:1 respectively:4 component:4 attainment:2 groups:1 address:1 remark:3 study:1 projection:3 tensored:4 masahito:2 total:2 unit:1 use:1 asymptotic:4 prove:3 probabilities:2 positive:7 eρ:5 uniqueness:1 hilbert:4 call:3 therefore:14 themselves:1 theoretical:3 composite:1 operators:3 berlin:1 known:1 topic:1 springer:1 valued:2 mn:6 mi:5 mj:1 following:10 dec:1 example:1 proof:5 suggestions:1 states:8 numbers:2 unramified:4 information:3 discussion:1 get:5 σei:2 maps:1 answer:1 simplicity:1 description:1 povms:3 ρei:2 representations:9 fj:4 natural:1 correspond:2 su:5 so:1 sl:7 definitions:1 order:2 restriction:1 over:1 paper:8 through:1 orthogonality:1 statistical:3 japan:1 satisfies:6 its:3 group:19 thank:2 ln:21 affine:1 mail:1 main:2 them:1 combination:1 identically:1 several:1 equality:3 invariants:1 university:2 classified:1 inequality:3 each:1 weyl:1 ei:10 another:7 weight:1 map:8 ee:5 ef:17 related:1 constitute:1 measure:6 quantum:21 special:9 matrix:1 space:11 rep:1 since:2 helstrom:1 holevo:1 denotes:4 formula:2 math:4 linear:10 divergence:1 completely:3 york:1 put:1 definition:1 pairs:1 nonnegative:1 unitarity:2 isn:3 first:1 separable:1 probability:4 number:3 directly:1 tively:1 given:4 similarly:1 introduction:1 system:6 realization:1 gives:2 direct:8 uhlmann:2 separability:1 detection:2 holland:1 see:1 future:1 distinguished:1 result:1 ann:1 any:12 lim:5 note:2 goodman:2 generalized:1 trace:1 measures:1 most:1 preliminary:1 pair:2 probabilistic:1 partition:1 mechanical:1 left:1 sum:8 fact:2 quantity:3 show:1 relation:4 analogue:1 trivial:1 representation:39 enough:1 lemma:7 only:1 attained:3 dm:4 viewpoint:3 means:1 df:5 de:2 expectation:4 cannot:1 dr:2 densities:1 arxiv:1 statist:1 qi:1 petz:5 set:4 exists:5 relative:7 depends:2 w2:3 w1:6 discussions:1 sem:1 pvm:34 satisfying:1 symmetric:1 iri:1 state:15 kullbackleibler:1 invariant:6 conditions:1 αn:21 complementary:1 restricting:2 jp:1 wj:2 wi:4 efficiency:1 ws:1 distinguish:1 distribution:2 σi:17 σn:11 taking:1 leibler:3 estimation:3 asymptotically:1 corresponds:3 dimensional:8 respect:11 hiai:2 described:3 commutative:13 povm:6 describes:1 asymptotics:1 interest:1 ph:1 pi:2 define:6 direction:2 corresponding:2 concerning:1 subspace:6 hayashi:2 general:4 spin:2 case:8 subsets:1 kodai:1 evaluated:1 will:2 unitary:17 ir:15 thus:4 dual:1 author:1 divergences:2 same:2 complex:1 quant:1 finite:8 independent:4 phi:2 v1:4 v2:4 purpose:1 infinite:2 well:1 thought:1 academic:1 without:1 sets:1 dimension:6 subgroup:5 ishii:1 when:4 obtain:4 conclusions:1 regarded:2 except:1 samples:1 theorem:11 momentum:4 real:1 aspects:1 press:2 integer:3 unique:1 essential:1 mathematical:1 because:1 classical:2 sequence:10 conditional:4 some:2 deduce:1 specified:2 proper:1 nonzero:1 measurements:1 defined:10 does:1 decomposition:11 prof:1 kyoto:3 equivalent:7 cambrige:1 between:4 about:2 extension:1 commun:2 a2:2 idh:1 introduced:1 h2:2 h1:4 references:1 operator:2 amsterdam:1 next:2 log:21 there:15 question:1 was:2 naturally:1 north:1 respec:1 converse:1 but:3 hk:2 repeated:1 hi:1 hn:6 convergence:2 highest:1 true:1 he:1 whether:1 maximum:1 dmn:10 supi:1 limit:1 problem:2 subrepresentation:5 called:9 mechanics:1 ac:1 proved:4 ai:6 certain:3 abstract:1 measurement:5 denote:5 exist:3 ing:1 physical:1 no:2 nd:1 other:1 department:1 mathematics:1 kullback:3 elements:3 preceding:2 a1:2 important:1 bounded:1 implies:1 assume:1 n1:1
quant-ph9704041.txt |@word concept:1 consider:8 gupta:1 rev:4 results:4 gf:3 φ1i:2 denotes:9 gi:1 compact:4 whose:5 depend:1 calculate:7 c0a:7 c0b:4 tr:36 acting:1 tm:1 under:10 paying:2 statics:2 rise:1 p0:2 induce:1 choice:2 print:4 massar:1 wishes:2 every:2 summarized:1 condition:16 dim:2 school:1 exponential:1 4n2:1 irreducible:2 dia:3 dib:2 noiseless:2 admissible:1 minimizing:2 small:1 optics:2 attracting:1 smaller:1 specially:1 cosn:1 consistent:5 guidelines:1 sin2:10 measurable:4 approximation:1 second:2 bg:3 substituting:1 manipulating:1 estimated:1 substitute:2 goes:2 established:3 errors:1 giving:1 section:10 uniform:1 homodyning:1 above:1 new:4 increasing:3 consisting:6 fujiwara:6 edited:3 mea:2 understanding:1 pioneered:1 tangent:1 cos2:45 address:1 represented:1 respect:26 remark:1 ref:1 study:10 studied:6 prior:1 amount:1 resulting:1 action:3 suitable:5 studies:5 york:4 φki:2 buˇzek:1 projection:1 family:14 va:2 apr:1 app:1 f2:4 masahito:2 unitary:1 jap:1 apply:3 total:1 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