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quant-ph0703089.txt |@word represent:5 epeau:1 consider:10 springer:1 limited:1 caused:1 edo:1 gx:3 illustrated:4 αr1:1 ge:1 per:1 consists:2 gm:13 r1m:1 contributions:5 hole:4 causes:1 compact:2 increase:6 maximally:1 depend:3 calculate:2 robert:1 tr:9 entangling:2 containing:1 matrix:3 finally:2 critical:3 present:1 under:3 tg:1 maryland:2 briegel:3 worth:1 indicating:2 inject:1 applied:1 amplitudes:6 g2:6 jqi:1 very:2 frequencies:15 account:1 results:6 electron:5 every:1 stays:1 resonant:19 strictest:1 difference:1 manin:1 condition:14 milburn:1 gg:12 swapping:1 level:8 transmission:13 turns:1 t2:6 applicable:1 occurs:3 large:10 gayral:1 dit:3 enhance:2 optics:2 noted:1 correct:2 compensated:2 ψi:6 consistent:1 direct:1 literature:1 split:1 equation:5 messy:1 rate:23 enhancement:2 realistic:3 initialized:3 implemented:1 repeaters:1 even:11 index:1 what:1 nonlinear:2 power:2 section:12 selected:1 analogously:1 networks:1 current:1 lukin:2 waiting:1 optimization:2 above:4 replaced:2 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quant-ph0703090.txt |@word katz:1 code:1 consider:2 switched:2 caused:2 magnetic:7 global:3 dynamic:1 focus:1 existing:1 leads:2 executing:3 commute:1 martinis:1 computation:13 consists:1 involved:1 sch:1 depend:2 technique:1 pothier:1 environment:3 charge:10 program:1 those:1 under:3 td:2 γg:3 resources:1 γd:3 applied:1 supported:1 straightforward:1 song:1 very:1 frequencies:1 rise:1 noncommuting:1 wave:1 electron:1 experimentally:1 difference:2 matrices:2 condition:2 mathis:1 illustrated:1 hamiltonian:8 positions:1 guo:1 t1:6 large:2 discrete:1 vector:2 phase:9 small:1 relation:2 noted:1 degeneracy:6 application:3 direct:1 past:1 second:1 enhancement:1 chen:2 implemented:2 frunzio:1 yang:3 errors:2 sun:2 selected:1 expressed:2 thickness:1 current:2 sequential:1 above:2 new:4 consisting:1 contrast:1 satisfy:1 simultaneously:1 lee:1 ibid:3 respectively:3 error:1 here:6 hku:2 reported:1 protection:1 china:2 capacitor:1 address:2 represented:2 path:1 along:1 standard:2 appears:1 box:3 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quant-ph0703091.txt |@word limited:3 consider:6 rev:20 results:7 leads:8 quadrature:5 consists:4 follow:1 localized:1 foug:1 depend:1 eα:1 pˆk:1 tr:1 γt:2 environment:1 finally:2 restriction:2 those:7 under:3 x02:3 resources:5 case:7 advantage:2 hannah:1 straße:1 choice:2 electron:1 stays:1 experimentally:1 splitter:17 school:1 knight:2 tanh:2 solution:2 standards:1 pˆ1:2 pˆ2:1 small:1 enhance:2 markov:1 optics:2 setup:6 application:1 work:2 consistent:1 fragility:1 approximation:1 second:1 equal:1 run:8 estimated:2 port:1 displacement:2 will:17 what:2 plays:1 combined:1 apparatus:1 sum:1 aˆk:1 jaeger:1 analogously:1 expressed:1 homodyning:1 above:3 new:1 ˆk:8 consisting:1 κ2i:1 degree:1 respectively:6 here:5 plenio:2 address:1 strong:1 equations:2 change:1 obtained:4 shift:1 study:1 larger:2 allows:3 amount:2 simultaneous:1 conveniently:1 suitable:5 appropriately:2 via:1 spatially:1 scales:1 apr:1 explained:1 scaled:6 visible:2 resolutions:1 total:2 planck:2 select:1 use:2 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quant-ph0703092.txt |@word represent:2 consider:3 ceases:2 similarity:2 caused:1 lack:1 focus:1 scholz:1 scalar:6 entropy:1 computation:6 seemed:1 inverse:2 depend:3 ıt:1 re:1 graph:1 technique:1 tr:2 intensive:1 quasi:19 preserved:1 under:1 anharmonic:1 eβ:1 norm:4 case:4 advantage:1 implicitly:1 misunderstanding:1 choice:3 redefinition:1 difference:1 condition:1 hamiltonian:14 t2:1 solution:3 t1:3 leave:1 discrete:1 vector:3 manifestly:3 dependently:2 unexpected:1 consistent:2 direct:4 approximation:2 zero:1 chen:1 further:1 linear:2 spectral:1 will:2 what:1 plays:1 invertible:1 section:5 current:1 above:1 new:2 method:1 body:1 led:1 ibid:1 relates:2 respectively:1 here:2 groups:1 concluding:1 path:3 quite:1 respect:2 exemplified:1 rigorously:1 leaves:1 vectors:2 allows:2 maioli:1 products:1 graffi:1 suitable:1 changes:1 diagonalizable:1 rρ:1 1st:1 establish:1 use:3 working:1 commun:1 remains:1 positive:4 played:3 finally:1 hilbert:3 few:1 krejˇciˇr:1 call:2 bender:6 vi:5 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quant-ph0703093.txt |@word concept:2 consider:1 remarkable:1 both:2 results:6 leads:1 quadrature:2 commute:2 generalize:2 comments:1 issues:1 whose:1 inverse:1 tracing:1 paris:2 concerned:2 prin:2 tr:8 kγ:3 quasi:1 investigation:2 θt:3 th:2 under:1 γc:2 γa:11 worth:1 ta:1 case:12 supported:1 provides:1 straightforward:1 role:1 dell:2 choice:1 electron:1 summarized:1 difference:2 condition:1 splitter:1 trk:1 beam:1 tra:3 solution:4 relation:1 application:1 reck:1 dealing:1 miur:1 b23:1 za:1 second:1 cost:1 further:2 implemented:2 canonical:2 bilinear:1 aim:2 what:1 advantageous:1 sum:1 analogously:1 expressed:1 above:1 values:1 ground:1 full:1 measurements:2 respectively:3 κa:2 jointly:1 desired:1 photodetector:1 address:1 xγ:11 sine:2 equations:2 z1:2 obtained:4 generalizing:2 institute:1 shift:1 larger:1 soliani:3 arthurs:2 amount:2 simultaneous:4 resulting:1 definitively:1 permutation:1 usually:1 fourier:2 makes:1 involves:1 via:1 followed:3 convolution:4 salento:1 offset:1 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quant-ph0703094.txt |@word replacing:2 consider:6 rev:6 focus:2 leads:12 eds:2 scalar:3 computation:1 go:1 follow:1 contributions:2 whose:1 preserves:4 replacements:1 depend:2 violate:1 re:1 tr:2 recurrence:3 finally:3 preserved:1 goy:1 hints:1 divergent:1 lendi:1 applied:1 conjecture:1 worse:2 straightforward:1 orthogonal:4 very:1 3aa:1 springer:3 results:7 crosses:1 interpreting:2 traced:1 experimentally:1 difference:4 exact:13 condition:2 four:1 incoherent:1 level:7 schawlow:3 turns:1 notes:1 differentiating:1 solution:2 enforce:1 large:3 discrete:2 convenience:1 differential:3 section:2 small:2 chuang:1 optics:3 equation:38 strongly:1 dilute:3 trend:1 consistent:1 sin2:1 direct:1 dimensional:2 ρl:2 approximation:10 second:3 designs:1 evaluated:1 incidentally:1 further:1 dynamics:1 odd:1 linear:4 even:6 what:1 nonlinear:5 appear:3 giving:1 sum:3 while:1 find:4 experiment:1 above:7 sixth:2 values:3 acknowledged:1 publications:1 coefficient:3 ρaa:2 κi:1 never:1 here:6 atoms:6 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quant-ph0703095.txt |@word concept:3 consider:7 equalities:1 results:3 four:1 tripartite:5 childs:1 entropy:3 consists:2 research:1 ebit:2 whose:1 depend:1 calculate:1 leung:1 ac2:1 disposal:1 send:2 supported:2 γi:2 those:1 sent:1 random:1 orthogonal:3 far:1 splitting:1 worst:1 emphasized:1 condition:2 randomness:1 swapping:13 level:1 trc:1 trb:1 correct:1 try:1 prevent:1 work:1 force:1 haar:1 bacon:1 second:3 cost:1 pozna:1 further:1 estimated:1 repeaters:1 even:1 established:3 what:3 abc:30 sub:2 assisted:1 disentangle:1 consistently:1 pawel:1 goes:1 shared:2 satisfy:1 pose:1 exchange:1 respectively:1 realizations:1 teleportation:6 here:1 understanding:1 ryszard:1 reported:1 address:1 alone:1 causality:2 change:1 violate:1 box:53 michal:1 sender:1 institute:1 leaves:1 studied:2 contradiction:1 amount:4 resulting:1 action:3 implement:2 proof:6 composed:1 control:1 via:3 useful:2 outcomes:1 first:4 addressed:1 decrease:1 apply:4 establish:4 use:4 additive:1 takes:2 would:2 prove:7 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quant-ph0703100.txt |@word scl:3 gu:1 interpretation:1 consider:1 proposed:1 rev:4 magnetic:1 supported:1 find:1 named:1 paper:1 entropy:26 methods:1 edu:3 keywords:1 substituting:1 research:2 its:1 gi:1 x1:1 number:2 calculate:1 density:4 ln:6 graph:1 explain:1 technique:1 tr:3 unity:1 mathematically:1 h2:4 finally:2 monotonically:1 degrees:1 systems:4 under:1 mail:3 main:1 momentum:3 ta:1 maximal:1 versus:2 non:1 gibbs:1 get:1 dependent:9 zurek:1 assuming:1 results:3 integrals:2 investigated:2 wave:8 ankara:3 joint:14 distribution:1 dx:3 using:2 dt:1 dp:1 apart:1 loss:1 densities:1 particle:4 follows:1 van:1 arxiv:1 t2:9 solution:2 t0:5 spaces:1 dodonov:1 arbitrary:1 analytical:1 found:2 originally:1 referred:1 financial:1 kernel:3 force:6 neumann:1 classical:5 sep:1 dimensional:1 product:1 related:2 approximation:1 born:2 literature:1 result:2 quantum:6 eq:4 shannon:2 shown:2 omnes:1 plays:1 dimensions:1 3rd:1 space:4 section:3 lagrangian:1 uniform:1 increase:4 hd:2 inequality:1 hill:1 closed:1 conjectured:1 print:1 method:1 contrast:1 ozg:1 evolving:1 forces:1 scientific:3 mσ:3 state:1 mσ2:1 agreement:1 free:2 easily:1 applications:1 pauli:1 2m:6 path:9 along:1 s98:1 properties:1 mod:1 obtained:4 both:2 ol:3 propagator:1 world:2 getting:1 freedom:1 uncertainty:1 discussed:1 mx:1 motion:6 prior:1 hψ:1 obeys:1 khandekar:1 action:1 adami:1 relation:1 mechanics:2 major:1 equivalently:1 xn:1 probability:4 polymer:1 simple:1 into:1 integral:6 harmonic:1 negative:1 semiclassical:2 written:2 relations:1 moreover:1 ipx:1 ann:1 open:1 planck:1 often:1 turkey:4 given:3 statistics:1 described:1 deal:1 usa:1 needed:1 introduction:1 mcgraw:1 metu:1 gj:1 system:4 been:1 morette:1 their:3 trigger:3 ψn:2 kleinert:1 pd:1 1f:1 ph:2 was:2 von:1 today:1 fig:6 function:9 cerf:1 determinant:1 corresponding:1 complete:1 form:2 quantities:1 m2:6 odinger:2 ht:3 gaussian:1 a71:1 normalized:1 hm:1 x0:6 role:1 iii:2 present:2 partially:1 case:6 ii:2 p0:6 p1:1 pacs:1 2πi:1 markets:1 equation:2 work:2 oscillator:1 garbaczewski:1 us:1 ur:1 um:3 determined:1 theoretical:1 behavior:2 were:1 following:2 exp:6 vleck:1 obtain:2 called:1 obtains:1 control:1 opt:2 f2:1 studied:1 constant:10 give:1 defined:2 curve:1 abstract:1 describe:1 organized:1 xcl:3 iv:2 states:2 indicates:1 reads:1 im:1 numbers:1 council:1 formulation:1 anastopoulos:1 dxe:1 inf:1 sever:2 physical:1 information:6 different:1 bhagwat:1 sj:5 general:1 technological:1 means:2 lett:1 same:3 field:1 ozcan:1 quant:2 harmony:1 pure:2 spatial:1 bull:1 conclusion:2 calculation:3 used:1 macs:1 description:1 singapore:1 may:1 measures:1 derived:1 functions:1 dunkel:2 boltzmann:1 important:1 inst:1 purpose:1 position:1 phase:1 above:1 acknowledgements:1 lebedev:1 kb:1 schr:2 hibbs:1 feynmann:1 edition:1 dτ:1 counter:1 stronger:1 feynman:4 so:1 sn:1 fundamental:2 time:15 coordinate:3 definitions:2 physics:1 width:1 prefactor:1
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quant-ph0703101.txt |@word partial:1 consider:1 rev:3 results:13 ge:1 expressions:2 gj:1 devoted:1 calculate:4 recurrence:2 finally:2 those:1 under:1 kemmer:1 ciftci:2 worth:1 applied:1 advantage:1 very:3 wave:14 exact:4 condition:3 presented:3 turns:1 guo:1 solution:10 large:1 solved:4 bxn:2 eigenvalues:20 findings:6 sukhatme:1 sin2:1 zb:1 sign:1 second:5 me2:1 chen:2 chem:1 subscripts:1 uvarov:5 morse:15 3q:1 above:2 new:2 method:20 respectively:2 here:3 atoms:1 consideration:1 equations:7 obtained:6 great:3 study:2 drn:1 suitable:1 varshni:1 useful:1 9q:1 apply:1 total:2 vef:2 asymptotic:10 would:1 super:2 contains:1 quasi:1 next:1 comparing:2 wood:1 therefore:4 type:2 thus:2 odinger:12 berlin:1 excellent:2 iii:2 springer:1 deformed:9 equation:60 work:1 oscillator:1 modified:4 values:7 following:9 control:1 f1:7 compare:2 indicated:2 calculation:1 relativistic:10 states:5 minimum:1 chin:1 numbers:1 yβ:1 yε:1 information:1 s3:2 s2:4 s1:6 s0:11 write:4 instead:1 parameter:8 sin:2 mar:1 mat:1 may:4 dx2:3 dx1:2 applications:1 faculty:2 fl:1 fn:6 andez:1 effective:1 sk:9 order:8 developed:1 over:1 dy:8 years:2 paper:2 roots:2 interesting:1 nikiforov:5 solving:2 systems:2 saxon:1 derivative:1 defining:1 deformation:1 alhaidari:1 non:5 good:2 combination:1 yn:2 propose:2 outlined:1 amenable:2 ze2:1 framework:3 yq:2 now:5 hall:2 ift:1 eigenvalue:1 february:1 dirac:2 2q:1 university:2 2y:1 sufficiently:3 l2:1 2a:1 reasonable:2 radial:12 found:1 2n:1 homogeneous:3 differential:8 transforming:1 energy:19 combining:2 quantum:7 our:2 ev:1 special:1 out:3 shown:1 furthermore:1 since:3 squared:1 denotes:1 particles:1 re:4 formula:2 rn:7 math:7 linear:4 interactions:1 standard:1 grosjean:1 khare:1 interaction:4 determining:1 motion:1 turn:2 length:1 gordon:1 symmetry:2 omitted:1 variables:2 number:2 approximate:1 directly:1 angular:2 xu:1 given:8 perturbation:3 width:1 introduction:1 system:1 relations:2 dfn:1 variational:1 gives:3 shifted:11 exactly:3 part:1 ncn:1 x2:2 x0:1 x1:2 wide:1 iteration:10 a46:1 determined:3 minus:1 rewrite:2 seen:4 seek:1 efficient:1 convenient:1 note:1 sciences:2 potential:26 square:1 generalized:2 accuracy:1 2εn:10 scripta:1 molecule:5 birkh:1 most:1 involving:1 2εq:3 kg:1 calculated:3 sometimes:1 physica:1 exp:2 axn:1 section:5 relation:1 solutions:2 keywords:1 d2:10 find:5 principal:1 parameters:3 basel:1 should:2 only:1 explicitly:1 screening:4 meng:1 equilibrium:1 2mr:2 klein:1 means:2 df:1 de:3 overall:1 2me:2 struc:1 dr:7 gen:7 prime:1 regarding:1 continuum:2 qy:14 arxiv:1 summary:1 bag:1 qe:2 analytical:4 nδ:1 molec:1 recently:1 ark:1 eigenfunctions:6 αy:2 αx:3 state:2 between:4 conditions:1 terms:1 2αx:2 hypervirial:3 dkp:1 quantization:2 etc:4 dated:1 filho:1 yα2:2 ci:1 relevant:1 cn:1 point:1 overview:1 cf:1 polynomial:1 respect:2 turkey:2 arts:2 described:1 three:1 been:7 homogenous:1 interest:2 ph:1 choose:1 corresponding:6 ozer:1 ansatzs:2 systematic:1 astron:1 c2:2 c1:1 denote:1 present:2 case:2 exponential:2 pacs:1 tang:1 value:2 aim:23 unℓ:6 vol:1 tions:1 vm:1 iv:2 ii:6 2βy:2 susy:3 sever:2 different:1 quant:1 units:1 dimensionless:1 several:3 used:2 auser:1 potentials:10 normalization:1 recent:1 schr:12 fys:1 well:4 solve:8 diatomic:5 lim:1 termination:1 proposed:1 generally:1 obtain:8 atomic:2 simsek:1 λk:10 alternative:2 brackets:1 tables:2 dissociation:1 eckart:1 εn:4 lett:7 theochem:1 solvable:1 transformation:1 momentum:2 take:1 easily:3 harmonic:1 test:1 using:13 mod:2 insert:2 necessary:1 like:1 particle:1 28a:1 follows:5 reduces:1 δr:3 specific:1 yields:2 either:1 vdh:1 mathematical:1 methods:14 deal:2 table:6 describing:1 2e:2 extensively:1 saad:2 inserting:2 rep:1 a19:1 agreement:3 expansion:6 2m:6 bx:1 takes:3 comparison:2 extending:1 o:3 practical:2 range:2 introduced:1 consequently:1 raised:2 h2:4 into:5 within:3 bound:5 fern:1 en:29 references:1 determine:2 operator:1 initial:1 transform:2 agrement:1 start:1 duffin:1 lou:1 rnℓ:5 function:9 form:13 hv:3 ugge:1 arranged:1 maximum:1 differentiable:1 below:2 converted:1 limit:2 petiau:1 problem:1 define:1 called:1 distance:1 mechanics:5 constant:1 defined:2 abstract:1 describe:2 chan:1 general:4 physical:2 functions:3 compared:5 when:4 ny:1 other:7 role:1 details:1 department:2 nq:1 wxn:1 nu:4 conclusion:2 briefly:1 a10:1 yℓm:1 models:1 problems:1 a0:2 hulth:21 important:3 variable:3 cooper:1 coulomb:1 physics:3 4q:1 mass:1 nuclei:1 having:1
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quant-ph0703102.txt |@word magnetic:26 particular:3 results:9 leads:1 ge:1 expressions:2 devoted:1 calculate:2 γr:1 finally:1 under:1 ciftci:1 worth:1 case:14 very:2 frequencies:11 wave:3 electron:1 every:1 exact:1 condition:5 presented:2 turns:1 solution:6 large:1 solved:2 vector:2 eigenvalues:30 configurations:1 findings:4 second:4 chen:1 canonical:1 what:1 section:3 goes:1 new:1 method:13 satisfy:1 full:1 simultaneously:1 taut:2 here:2 perpendicular:1 cylindrical:1 ansatz:2 address:1 strong:4 equations:4 kawazoe:1 obtained:8 technical:1 study:4 resulting:2 suitable:2 makes:1 useful:1 fbt:1 apply:1 use:2 charge:2 asymptotic:7 would:1 failed:1 quasi:1 next:2 comparing:2 therefore:4 m2:2 eϕ:1 type:2 more:2 becomes:3 odinger:11 berlin:1 excellent:1 cases:5 iii:4 must:1 springer:1 equation:38 work:2 oscillator:1 ρl:1 values:9 lorke:1 following:4 bajaj:1 root:1 stimulating:1 compare:1 lρ:1 relativistic:1 states:4 professor:1 numbers:7 council:1 allowed:1 hydrogen:10 pino:6 s3:1 s2:2 s1:3 s0:9 how:4 applicability:1 mar:1 fu:1 may:1 derived:1 plane:2 faculty:3 fl:1 outline:1 effective:1 light:1 lines:1 sk:8 gitman:1 order:7 over:1 years:1 paper:6 ωl2:1 before:1 thank:1 chosen:1 interesting:1 coordinates:1 choose:1 mail:1 non:2 ya:1 propose:1 amenable:1 framework:3 ritchie:1 yu:1 discuss:1 developments:1 easily:1 2r:1 university:4 hamiltonian:3 2z:3 2d:2 sufficiently:2 reasonable:1 2c:1 2l:3 sikorski:1 homogeneous:1 inserts:1 differential:3 energy:24 used:1 frequency:1 combining:1 quantum:12 our:7 special:1 out:4 shown:9 impurity:1 since:2 rev:7 research:1 semiconductor:1 formula:1 get:1 ref:5 math:4 linear:1 b33:1 besides:1 interaction:1 r0:2 βr:1 could:3 iterative:2 motion:1 first:5 there:3 manuscript:1 number:1 u0:4 another:2 precisely:2 electronic:1 angular:1 equating:1 given:4 10l:1 introduction:1 behaves:1 system:2 calculations:1 bagrov:1 structures:1 gives:1 exactly:2 authors:1 johnson:2 enabled:1 zero:1 project:1 matter:6 determined:3 correction:1 discussions:1 need:1 seen:1 any:5 depending:1 efficient:1 able:1 sciences:3 merkt:1 potential:7 generalized:1 donor:1 gmail:1 electric:1 wells:2 impurities:1 extending:1 formulae:1 analytically:4 inserted:1 clear:1 physica:3 electrons:1 exp:4 nanostructure:1 velocity:1 physics:4 show:7 supported:1 gauge:1 solutions:3 keywords:1 d2:5 find:4 ground:5 parameters:1 conduction:1 e10:1 state:7 should:1 analytic:1 only:1 subsection:1 adequate:1 above:1 means:1 df:1 cannot:1 dx:3 zhu:1 du:1 dr:1 gen:3 fields:3 arxiv:1 summary:1 greene:1 analytical:4 pertains:1 mustafa:2 iteration:5 see:1 fail:1 subject:1 αr:1 eigenfunctions:1 uλ:2 diverge:1 symmetric:1 written:4 various:1 closed:1 between:1 approach:2 terms:1 wl:17 weak:4 however:1 wu:1 many:1 hϕ:1 etc:2 com:1 point:4 others:2 harmonic:1 dimensional:10 16z:1 table:8 turkey:4 arts:3 been:2 dρ2:3 basic:1 ph:1 dots:1 corresponding:2 systematic:2 c2:1 c1:1 present:1 applied:2 pacs:1 value:1 excited:3 aim:17 behavior:1 vol:1 thus:2 iv:6 ii:3 quantization:5 technology:2 different:5 perform:1 acknowledgments:1 same:3 clearly:1 quant:1 units:1 several:3 wires:1 infinity:1 effect:4 moving:1 changing:1 recent:1 schr:11 center:1 expression:2 without:2 solve:11 eimφ:1 proposed:1 when:3 obtain:13 atomic:1 λk:9 alternative:1 previous:1 tables:4 kluwer:1 chakraborty:1 except:1 hall:1 macdonald:1 transformed:1 lett:4 technological:1 solvable:3 transformation:1 momentum:2 eigenfunction:1 eigenvalue:4 advances:1 showing:1 possible:2 press:1 using:5 mod:1 necessary:1 like:2 particle:1 follows:4 yields:1 δk:2 arbitrary:7 popular:1 works:4 because:1 methods:3 creation:1 stat:1 calculated:2 scripta:2 scale:1 dimensions:1 comments:2 heitmann:1 saad:1 inserting:1 scientific:1 novelties:1 radial:6 agreement:2 illustration:1 b211:1 cgs:1 permitted:1 comparison:1 carried:1 o:4 practical:3 blanter:1 plus:1 larmor:12 presence:1 into:4 within:5 sol:1 en:1 villalba:6 few:1 u4:2 u6:1 u1:1 transform:3 u2:4 low:1 was:1 function:2 interest:1 form:8 but:3 atom:10 ploog:2 ugge:1 considerable:1 he:1 applying:2 maximum:1 differentiable:1 below:1 converted:1 ωl:16 problem:6 kotthaus:1 called:2 mechanics:2 constant:5 abstract:1 describe:1 general:3 diverged:1 nanofabrication:1 physical:2 functions:2 compared:1 no:8 wavefunction:4 hybrid:1 field:23 other:4 details:1 department:3 conclusion:2 polar:1 briefly:1 condens:6 problems:1 includes:1 important:1 variable:1 coulomb:2 together:2 dρ:1 4l:1 mass:1
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quant-ph0703103.txt |@word limited:1 consider:5 represent:2 zeroed:1 focus:1 four:2 proposition:3 entropy:15 computation:3 follow:1 reasoning:1 forget:2 tr:4 quantumness:30 nonlocal:2 presents:1 tm:1 infinitesimally:1 protocols:5 th:1 under:2 analogous:2 include:1 sent:3 conjecture:1 advantage:2 orthogonal:5 very:4 implicitly:1 ρc:6 results:1 every:1 exact:2 condition:2 unipartite:1 upb:9 winter:1 discrete:2 section:1 tem:1 dealing:1 direct:1 second:2 writing:1 even:5 what:1 appear:1 assistance:1 uniform:1 above:2 journal:1 coefficient:1 simultaneously:1 reliably:1 ρab:8 respectively:2 equals:2 believed:1 explore:2 plenio:1 involved:2 popescu:2 studied:1 allows:1 commonly:1 adopt:1 prior:1 extremes:1 resulting:1 usually:2 bob:4 makes:1 involves:2 genuinely:1 via:2 useful:5 scales:1 diagonalizable:5 highly:3 use:7 proceed:1 prove:1 contains:1 properties:2 classically:1 ψi:2 call:1 therefore:4 taken:1 theoretical:2 more:10 separated:1 israel:1 bennett:2 formally:1 composite:1 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quant-ph0703104.txt |@word similarity:1 hats:3 four:11 parameterization:2 consists:3 whose:12 const:2 sines:1 presents:2 superficially:1 restriction:1 under:32 magnetic:1 every:1 supports:1 z12:9 solution:7 z11:9 vector:37 indices:12 notationally:1 vincenzo:1 10j:1 miller:7 consistent:1 approximation:5 elegant:1 second:16 tildes:1 j23:3 j22:4 rigorous:1 chem:6 even:7 established:1 ˆr:1 errors:1 above:6 new:9 contributes:2 consisting:1 ˆn:1 never:2 equals:1 here:14 j2r:3 represented:2 path:15 j2z:15 obtained:6 study:8 reports:5 sjm:10 symmetrical:1 suitable:1 changes:3 reckoned:1 9j:5 projection:32 explained:5 replace:3 unitary:1 total:12 linearly:9 derivatives:3 spoke:1 would:10 bundles:2 negative:2 substitutions:2 call:9 therefore:10 m3:18 m2:19 type:1 until:2 naive:2 robbins:2 aware:1 berlin:2 warm:1 hold:1 must:22 springer:3 quartic:1 henri:1 rν:4 work:14 mr:28 root:6 example:20 girelli:2 indicated:5 give:3 generically:8 involve:3 indicates:1 degenerate:1 magnitudes:2 david:1 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quant-ph0703109.txt |@word consider:4 bellaterra:1 rev:14 magnetic:2 roc:1 results:2 katori:1 leads:2 eds:2 edp:1 houches:1 remarkably:2 gl:1 gk:2 centers:1 localized:1 rom:1 whose:4 alamos:1 rayleigh:3 young:2 environment:1 tail:1 present:2 stable:2 analogous:1 γd:1 p2:2 departament:1 orthogonal:2 far:5 frequencies:1 springer:2 wave:23 shin:1 experimentally:1 rist:1 difference:2 four:1 groth:1 swapping:1 vibrational:1 hamiltonian:3 did:1 ref:3 herbert:2 large:2 vector:4 nonn:1 small:2 shows:2 equation:2 programme:2 still:2 rohrlich:1 wavevectors:1 periodicity:2 eichler:1 sin2:2 direct:2 pulse:5 surrounding:1 rate:12 evaluated:1 blinov:1 further:1 dynamics:3 even:2 abundant:1 appear:2 contributions:1 section:1 interactions:1 analogously:1 experiment:2 new:2 schlipf:1 occupation:1 acknowledgments:1 contrast:3 hero:1 exchange:2 respectively:1 westbrook:1 lange:2 here:2 atoms:2 behaviour:1 les:1 cos2:1 along:1 teacher:2 obtained:1 remark:1 tunneling:2 antisymmetric:2 shift:1 study:2 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quant-ph0703110.txt |@word consider:5 splitting:1 leads:1 scalar:1 follow:1 contributions:1 compact:31 choquet:1 iii:1 equivalence:1 tr:10 noncompact:8 finally:2 γn:6 norm:4 case:3 supported:1 straightforward:1 isomorphism:2 every:4 exact:1 level:1 notes:1 tokyo:1 discrete:1 convenience:1 vector:1 still:2 consistent:1 measurable:3 approximation:1 second:2 invertible:1 celebrated:1 experiment:2 above:3 sup:4 new:2 net:6 satisfy:2 respectively:2 here:2 desired:1 along:2 respect:3 obtained:1 remark:2 allows:1 xsing:2 action:1 suitable:6 via:1 explained:1 outcomes:7 unit:5 use:4 additive:1 would:3 prove:7 probabilities:1 positive:4 preg:3 contains:7 eρ:6 negative:1 next:1 call:1 associated:1 more:4 operators:1 berlin:1 everywhere:1 normalized:1 particular:1 known:1 cases:1 producing:1 eγ:5 must:1 springer:1 valued:1 ρf:1 recall:1 getting:1 ρm:2 values:3 following:12 proof:10 randomizing:1 states:2 sphere:1 performed:1 want:1 sense:1 rescaling:1 verlag:1 chiribella:2 means:1 regions:1 how:1 instead:1 parameter:2 rousseau:1 product:1 mar:1 algebra:6 after:1 consequence:3 povms:45 representations:1 realized:2 third:1 sets:3 lemmas:1 correspond:3 element:2 extremal:20 ones:1 order:2 numbers:1 indeed:5 over:3 produced:2 course:2 paper:1 banach:12 existence:1 volta:1 milman:7 its:5 write:1 singular:5 fix:2 conway:1 actually:2 systems:2 pavia:1 main:1 might:1 correspondence:7 violating:1 isomorphic:3 they:1 now:5 hall:1 february:1 equality:2 characterizes:1 identified:3 events:2 universita:1 inequality:2 found:1 identifies:1 cliffs:1 subset:11 reduce:1 approximates:1 ball:3 ex:4 measure:8 quantum:13 http:1 operation:1 eq:1 event:1 subnet:2 space:43 since:13 parametrizing:1 denotes:3 contained:1 lecture:1 get:3 ref:4 math:2 shows:1 linear:4 written:1 limγ:4 fisica:1 admits:1 completely:1 york:1 definition:4 hull:3 times:1 hence:2 schlingemann:2 first:2 probability:8 done:1 directly:1 precisely:2 open:3 given:11 necessarily:2 dipartimento:1 system:3 their:2 observations:1 realization:8 continuous:11 direct:2 luckily:1 part:3 representing:1 than:3 finitely:1 kind:1 morever:1 see:4 seminars:1 outcome:27 decompose:1 fashion:1 compactification:1 randomly:1 extremals:3 disjoint:3 any:43 xreg:3 zero:2 lim:2 converges:1 note:2 take:4 modulus:1 trace:3 measures:1 most:3 regular:5 measured:1 iterating:1 average:1 later:1 coincides:2 drawing:1 countable:2 landsman:1 points:16 χb:8 sigma:10 fact:3 show:5 random:4 converge:1 spaces:2 d2:16 find:2 situations:1 unions:1 topological:3 lemma:24 only:4 going:1 subsection:1 equipped:1 do:4 notation:1 di:2 de:1 expectation:7 cannot:1 words:2 closure:6 runs:1 royden:1 arxiv:1 λp1:1 λp2:1 contain:1 fixed:1 krein:7 set:52 exists:3 namely:8 permuted:1 satisfying:2 tensor:1 ways:1 nets:1 positivity:8 functionals:8 state:5 closed:3 between:1 prentice:1 conditions:1 available:1 notice:1 terms:2 alaoglu:1 injectively:1 weak:9 however:2 supω:1 problem:3 topology:5 both:1 essentially:1 limits:3 taking:1 according:2 dated:1 embedding:5 uni:1 comes:2 arbitrarily:2 point:1 simple:1 cb:3 dimensional:4 simply:1 moreover:1 due:2 been:1 povm:46 combined:1 ph:3 pi:13 define:1 surjective:2 corresponding:1 johansen:2 present:1 p2:2 p1:2 subsets:3 pacs:1 value:7 will:9 while:3 proves:1 compactness:1 property:1 procedure:1 almost:1 thus:5 ii:2 properties:3 dual:7 containing:4 same:1 clearly:1 randomization:2 quant:2 proved:2 finite:26 couple:1 used:2 infinity:1 hand:1 purpose:2 pdf:1 normalization:9 paderborn:1 nevertheless:1 well:3 analysis:4 jersey:1 convenient:1 dimension:2 gelfand:1 λp:9 just:1 less:1 being:6 obtain:2 thanks:1 alternative:2 previous:2 density:8 easy:1 theorem:16 heidelberg:1 real:1 showing:1 decomposed:3 measurement:7 possible:3 additivity:6 using:2 englewood:1 exploiting:2 performing:2 either:1 arbitrary:3 specifies:1 www:1 classical:4 some:6 born:1 specified:3 proper:3 tutorial:1 happens:1 measurements:5 conditionally:2 decomposition:13 provides:5 intersections:1 processing:2 bk:6 post:2 hilbert:3 injective:2 hausdorff:3 mutually:1 automatically:2 mathematical:2 follows:1 into:1 integral:3 functional:13 tackle:1 operator:3 support:17 there:4 u1:3 u2:3 accordingly:2 borel:1 way:2 function:6 complete:1 form:7 enough:1 converse:1 denoting:1 directed:4 algebras:1 embedded:2 characteristic:1 up:1 us:1 ωi:13 limit:6 supa:1 distribution:2 obtains:1 mechanics:1 ariano:2 constant:4 defined:9 convex:13 denote:2 associates:2 formulation:6 approximated:1 physical:1 functions:7 no:2 other:3 separate:1 a0:8 generated:1 bounded:4 variable:4 implies:2 auxiliary:4 assume:1 modules:1 rule:1 once:1
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quant-ph0703111.txt |@word limited:4 partial:1 magnetic:2 lack:2 amplifier:9 results:3 gy:1 four:5 quadrature:1 gaithersburg:1 amplified:2 contributions:1 localized:1 looking:1 amplification:1 depend:2 technique:1 environment:1 finally:2 compensate:1 squeezing:28 helps:1 th:1 ti:2 division:1 supported:1 shielding:1 dominate:1 kumar:1 very:4 frequencies:6 rise:1 springer:1 wave:4 balancing:1 sidebands:1 braje:1 mixing:4 experimentally:3 difference:15 condition:1 states:1 splitter:3 induced:2 pbs:1 level:2 transmission:13 standards:1 large:5 succession:1 small:1 postdoctoral:1 anal:1 challenge:1 heidmann:1 limitations:2 smaller:1 hindered:1 direct:1 second:3 video:1 dynamics:2 implemented:1 port:4 blue:2 established:1 optimize:1 nonlinear:1 adds:1 power:12 near:4 cell:8 ˆb:6 experiment:1 above:1 new:1 increasing:1 filled:1 photothermal:1 degree:1 respectively:3 residual:1 jointly:1 explore:1 photodetector:2 address:1 active:1 ratio:4 strong:5 imperfections:1 obtained:4 parameters:3 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quant-ph0703112.txt |@word code:58 consider:5 pth:1 rev:1 wreath:1 results:1 four:2 gf:5 commute:3 computation:2 edu:1 research:1 whose:1 repetition:1 tx:1 graph:11 technique:1 tr:1 finally:2 th:1 under:2 undirected:2 presentation:1 g4:3 advantage:1 orthogonal:4 rise:1 otteler:4 choice:1 every:1 entries:3 matrices:2 fakult:1 dim:2 presented:1 vector:8 science:1 trp:1 noted:1 zi:1 zj:2 insignificant:1 zero:4 chen:1 further:1 ode:3 linear:4 bilinear:3 index:1 what:1 giving:1 sum:2 expressed:1 version:1 establishes:1 new:1 consisting:1 satisfy:1 full:1 simultaneously:1 degree:1 promising:1 here:2 following:4 nonbinary:2 directions:1 equations:1 my:9 study:1 vectors:8 allows:1 example:2 knill:1 action:1 via:2 followed:1 projection:1 extra:1 highly:1 sloane:1 zit:1 andreas:1 additive:6 usa:1 prove:2 contains:2 next:2 comparing:1 depicted:2 therefore:1 reflects:1 more:1 thus:3 operators:4 adjacency:7 particular:1 iv:1 iii:2 grassl:7 none:1 isomorphism:1 recall:1 equation:1 work:3 labeled:1 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quant-ph0703113.txt |@word code:50 consider:1 results:1 four:1 proposition:5 aly:1 consists:1 gm:1 research:1 gk:1 gj:4 gi:1 row:3 whose:2 c0:16 tx:1 finally:1 th:1 under:1 suite:1 analogous:1 include:1 g1:1 g0:1 very:1 otteler:1 focus:1 every:2 entries:1 difference:1 matrices:6 condition:2 dim:2 applicable:1 large:3 vector:4 science:1 small:1 deleting:1 upper:1 α2b:1 direct:1 rate:5 design:2 further:3 odd:1 theory:9 established:2 appear:2 giving:2 section:2 nec:1 above:1 referees:1 new:2 consisting:1 coefficient:1 full:3 lee:2 degree:2 respectively:4 equals:1 here:2 desired:1 z1:2 obtained:3 qudits:3 vectors:1 allows:2 contradiction:1 prior:1 deg:2 makes:1 useful:2 family:1 apr:1 logical:1 viq:2 pp:9 inverses:3 total:1 establish:1 unit:7 use:3 andreas:1 usa:3 prove:3 remains:1 positive:2 prompting:1 h1t:1 tail:1 next:1 vol:7 noting:1 therefore:1 memory:13 encode:1 zij:1 convolutional:71 pless:1 relax:1 award:1 particular:2 known:1 hole:3 iii:3 exb:7 defines:1 recall:2 salah:1 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quant-ph0703115.txt |@word secondly:1 consider:7 chinese:1 φn0:1 broaden:1 dynamic:2 results:5 gy:1 illustrated:2 η2i:1 gj:2 causes:1 devoted:1 terms:4 calculate:7 slowing:1 groundstate:1 tn:1 gu2:5 finally:2 does:1 ny:1 those:3 under:4 γc:16 γa:14 must:1 crest:1 cm1:1 applied:2 supported:3 g2:17 g1:15 evolves:2 very:1 frequencies:5 rise:1 springer:1 induce:1 wave:4 p1:2 yellow:1 resonant:10 li:2 exact:1 condition:11 cool:1 quantitatively:1 level:27 transmission:9 z12:1 solution:2 large:4 solved:1 science:3 small:4 eigenvalues:3 shows:2 optics:3 noted:1 phillips:1 upper:2 yjk:1 coordinate:2 oscillator:1 sin2:1 b22:7 b21:6 b20:1 approximation:1 zero:11 furuya:1 further:3 estimated:2 leakage:2 canonical:1 even:4 plays:2 y1k:1 sun:5 section:6 expressed:5 transmit:1 above:9 new:1 method:3 contrast:1 satisfy:8 compact:1 respectively:7 never:1 spacing:2 q3:1 here:15 atoms:38 explore:1 q2:1 china:1 possibility:1 groups:1 others:1 active:1 consideration:2 strong:1 equations:4 transformation:1 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quant-ph0703127.txt |@word four:1 olshanii:6 const:1 calculate:5 under:3 γc:1 worth:2 summarized:1 experimentally:3 squares:1 supports:3 solution:18 vector:1 burke:5 indices:1 wronskian:1 consistent:3 10a:1 estimates:1 direct:1 approximation:1 orlitz:1 follow:1 chem:2 even:22 contributed:1 aymar:1 above:7 new:1 increasing:3 coefficient:2 never:1 here:6 atoms:1 q11:2 obtained:6 study:5 changed:1 guide:1 stressed:1 changes:1 divide:1 esteve:1 visible:1 total:4 unit:3 derivatives:1 waveguides:2 negative:5 tabulated:2 call:1 therefore:5 m3:2 m2:8 until:1 incao:2 odinger:2 must:11 springer:1 permits:2 work:7 mi:1 temperatures:2 westbrook:1 example:3 transition:5 indicated:1 give:8 relativistic:1 yurovsky:1 indicates:1 want:2 yang:1 end:2 provide:1 ultracold:2 recovers:1 how:8 ψin:1 description:1 transforming:1 summarize:3 law:8 constants:3 fiβ:6 attempt:1 threebody:3 effective:13 recombination:36 amaya:1 chikkatur:1 correlation:1 order:16 operations:1 xj:2 over:6 vary:1 xi:3 thesis:1 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quant-ph0703130.txt |@word represent:1 unavoidable:1 consider:3 pointing:1 limited:1 caused:5 focus:1 four:3 computation:1 lahti:1 pˆa:3 21st:1 pˆb:2 arthurs:5 similarity:1 tr:3 environment:1 finally:1 program:2 present:1 under:3 stochastic:1 crest:1 worth:1 indicating:1 ta:1 belonging:1 takes:1 orthogonal:1 results:1 sons:1 chuang:1 affect:1 matrices:4 condition:14 illustrated:1 transmission:1 issue:1 large:2 devetak:1 manifestly:1 eigenvalues:2 premeasurement:2 upper:4 deutsch:1 sin2:2 rigorous:1 further:2 errors:2 ˆy:1 ˆz:1 expressed:3 ˆa:3 ˆb:4 goes:1 new:1 method:3 simultaneously:1 kennard:1 respectively:2 equals:3 here:2 met:1 selective:1 cos2:1 groups:1 address:1 directions:2 xα:8 interpret:3 obtained:6 trans:1 institute:1 study:2 vectors:1 simultaneous:22 action:6 studies:1 involves:1 formulated:1 followed:2 projection:6 marginal:4 yuen:1 outcomes:6 masahito:1 univ:1 planck:1 unit:1 use:1 asymptotic:5 massar:2 distinct:1 positive:4 negative:1 next:1 mation:1 noting:1 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quant-ph0703131.txt |@word edn:2 results:2 leads:2 ge:1 edu:2 dϕ2:1 cyprus:1 scr:2 devoted:1 whose:1 inverse:1 schiff:1 producing:1 tr:2 finally:3 under:3 anharmonic:5 celik:1 kσ:1 applied:1 supported:1 straightforward:1 orthogonal:5 very:2 nτ:1 implicitly:1 wave:23 ankara:1 every:1 exact:13 condition:4 four:2 presented:3 solution:14 solved:9 eigenvalues:5 employing:2 consistent:1 sin2:6 centrifugal:4 approximation:1 second:5 equal:1 chen:2 further:4 chem:6 expressions:3 substitute:1 theory:1 uvarov:4 what:1 appear:5 morse:1 contributions:1 section:3 expressed:1 en:4 cheng:2 lifshitz:1 new:15 neu:1 consisting:1 3d:7 satisfy:2 2µa:2 degree:6 respectively:2 atoms:1 behaviour:1 desired:1 ansatz:2 separation:1 consideration:1 quite:1 equations:3 appears:1 obtained:14 technical:1 study:5 studied:1 ctg:1 resulting:2 suitable:2 via:1 useful:1 rkr:1 apply:2 total:4 select:1 readily:2 conventional:6 takes:1 positive:1 contains:1 negative:2 next:1 few:1 ψn:5 therefore:2 m2:6 type:5 nicosia:1 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quant-ph0703134.txt |@word secondly:2 partial:1 consider:5 priori:1 depends:3 results:6 roy:6 commute:2 lewenstein:1 sci:1 expressions:1 particles:3 certainly:1 depend:1 violate:4 tr:5 under:2 analogous:1 ta:2 advantage:3 orthogonal:11 very:2 could:1 choice:6 every:1 exact:1 condition:8 look:1 presented:3 diverging:1 steeply:2 michael:1 still:2 smaller:3 sin2:5 measurable:3 sign:2 zero:4 evaluated:1 invariant:1 implemented:1 theory:1 even:3 what:3 nonlinear:1 developed:1 section:6 analogously:3 witnesses:8 experiment:2 above:4 utkenhaus:1 shared:1 contrast:1 inequal:1 degree:8 respectively:1 never:1 here:4 reported:1 cos2:4 address:2 strong:2 appears:2 z2:1 extreme:3 box:1 institute:1 vectors:1 allows:3 approaches:1 suggests:1 amount:2 extremes:1 situations:1 usually:2 klyshko:1 plotted:4 formulated:2 shorthand:1 establish:1 enk:1 unit:1 plot:3 use:2 would:4 prove:1 remains:1 next:3 comparing:1 therefore:3 criteria:2 type:2 theoretical:1 pres:1 more:7 introducing:1 comparison:4 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quant-ph0703135.txt |@word represent:1 consider:5 similarity:1 focus:1 leads:3 signatures:1 entropy:1 ψ1m:2 broader:2 consists:6 gk:11 sch:1 inverse:1 calculate:1 tr:6 environment:44 quasi:8 under:3 amplitudes:3 far:1 results:1 resonant:2 matrices:8 gue:10 hamiltonian:17 trc:3 large:4 discrete:1 convenience:1 vector:2 minimal:1 harmon:1 harry:2 small:9 trs:1 mahler:4 configurations:2 upper:2 smaller:4 prevails:1 second:1 dynamics:1 canonical:29 spectral:4 index:3 what:2 ˆs:2 imamo:1 ˆx:6 diag:2 ˆz:11 uniform:1 ˆc:2 designing:1 ˆi:1 ˆj:1 consisting:4 full:1 exchange:1 awschalom:1 respectively:4 never:1 component:2 equals:2 here:7 diagonal:9 behaviour:1 desired:1 gemmer:2 relaxation:21 alone:1 strong:1 change:1 obtained:1 larger:6 completely:5 resonance:4 changes:2 glu:1 highly:1 addressed:1 total:12 unit:1 tween:1 use:4 projector:1 would:1 distinct:2 continuous:1 give:1 timeaveraged:1 finally:2 hilbert:4 depicted:5 call:2 therefore:4 vi:1 taken:5 type:7 more:3 introducing:1 relax:4 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quant-ph0703136.txt |@word scl:4 consider:1 remarkable:1 rev:6 results:2 entropy:34 edu:3 gj:1 inverse:7 const:3 graph:3 technique:1 tr:3 dantas:1 finally:1 monotonically:3 ta:1 case:5 hibbs:1 frequencies:1 connects:1 wave:13 ankara:3 figs:1 t2:7 solution:9 large:2 small:2 optics:1 originally:1 dimensional:1 past:1 plays:1 section:4 uniform:1 pulsating:7 method:2 3d:2 satisfy:1 ozg:1 evolving:1 simultaneously:1 respectively:3 ht2:2 path:9 z2:1 obtained:8 technical:1 study:1 studied:1 action:3 plotted:1 named:1 polymer:1 hermite:1 ipx:1 planck:1 use:2 usa:1 negative:1 periodically:1 few:1 iαn:1 ψn:5 therefore:1 taken:1 markets:1 von:1 today:1 becomes:4 odinger:2 normalized:1 cases:1 iii:2 equation:4 work:1 oscillator:30 iα0:1 following:4 mx:5 control:1 νt:17 give:1 imω:1 organized:1 xcl:1 states:2 indicates:1 numbers:1 council:1 dxe:1 tan:4 information:6 means:2 csc:1 write:1 ozcan:1 pure:2 acta:1 sin:16 product:1 description:1 may:1 oscillators:4 derived:3 applications:2 inst:1 choice:1 constants:1 counter:1 explicit:1 sj:8 so:1 sn:1 fundamental:2 definitions:2 prefactor:1 interpretation:1 reservoir:1 years:1 paper:1 omnes:1 its:2 before:1 ln:9 masses:2 degrees:1 systems:3 mail:3 maximal:1 non:1 gibbs:1 fig:13 investigated:3 2t:1 easily:2 university:3 2x:2 inequality:1 found:2 2n:3 referred:1 square:7 financial:1 metu:1 related:1 frequency:37 quantum:7 eq:17 shannon:2 shown:6 pedrosa:2 3rd:1 space:8 nuovo:1 lagrangian:5 research:2 increase:2 attracted:1 investigation:1 hill:1 conjectured:1 print:1 formula:3 ref:1 shows:1 mρ:1 fluctuates:1 mω:3 fluctuated:1 e2:1 motion:2 βn:2 major:1 probability:7 number:2 xd:1 open:1 given:7 iω0:4 needed:1 introduction:1 eqs:2 system:4 relations:1 πm:1 their:2 anastopoulos:1 mehler:3 x2:9 x1:1 coefficients:1 approximation:1 ben:1 cimento:1 determined:2 amplitude:1 were:2 vleck:1 iωt:1 ann:1 quency:1 complete:1 paths:1 note:3 instance:1 macs:1 measures:1 boltzmann:1 but:1 phase:4 acknowledgements:1 kb:1 calculated:4 stronger:1 feynman:7 exp:29 physics:6 lebedev:1 supported:1 spaces:1 relation:1 keywords:1 substituting:5 find:1 ground:5 explain:2 written:2 factor:1 constant:16 above:1 get:2 dependent:43 zurek:1 a71:1 methods:1 joint:23 ones:1 dx:3 dt:2 dp:1 areas:1 densities:1 arxiv:1 yield:1 dodonov:1 analytical:1 kernel:8 sep:1 edition:1 depends:1 result:2 versus:4 contour:1 invoked:1 state:6 closed:1 between:1 boundary:1 conditions:1 αn:2 attention:1 however:1 s98:1 both:3 cos:10 cot:1 many:1 uncertainty:1 agree:1 hψ:1 hρ:3 mann:1 cos2:7 mechanics:2 point:1 simple:1 perot:1 harmonic:33 semiclassical:2 moreover:1 turkey:4 described:5 fre:1 been:3 much:1 pd:1 ph:2 tan2:3 choose:1 determinant:1 quantities:2 bull:1 present:1 p2:2 p1:1 pacs:1 theoretical:1 behavior:1 opt:3 refs:1 iv:2 ii:2 middle:1 reads:1 im:6 seen:2 sever:2 different:2 same:1 unity:1 quant:2 pauli:1 independent:4 calculation:2 used:1 singapore:1 hand:1 kleinert:1 schr:2 onedimensional:1 theses:1 contact:1 coordinate:7 position:1 proposed:1 obtain:2 morette:1 bhagwat:1 yet:1 density:8 mathematically:1 iω:2 garbaczewski:1 technological:1 east:1 plasma:1 momentum:4 real:1 khandekar:1 iγ:1 increases:1 using:8 mod:1 loss:1 particle:2 follows:1 reduces:1 abdalla:2 yields:1 integrals:2 arbitrary:2 become:1 because:1 neumann:1 classical:7 born:2 describing:1 dimensions:1 cavity:1 assuming:1 scientific:3 agreement:2 mcgraw:1 refers:1 properties:1 world:2 freedom:1 discussed:1 dependence:1 o:1 2iπ:5 22n:1 into:5 integral:6 transfers:1 often:1 statistics:1 van:1 comparing:1 initial:1 trigger:3 was:4 propagator:2 assumes:1 function:16 interest:1 form:4 ht:4 heat:1 hn:11 considerable:1 hd:2 partially:1 ωt:3 ur:1 iβn:1 problem:1 called:2 strongly:5 associated:1 defined:3 abstract:1 general:2 formulation:1 inf:1 education:1 physical:1 functions:4 when:3 other:1 role:1 spatial:1 department:3 lemos:1 conclusion:2 briefly:1 polynomials:1 dunkel:2 important:1 fabry:1 mω0:11 equivalently:1 mass:32 time:58
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quant-ph0703137.txt |@word cameras:1 consider:1 rev:20 four:5 tripartite:2 remarkably:1 localized:1 row:2 simon:1 calculate:1 retzker:1 technique:3 stillwater:1 finally:1 under:2 ingredient:2 g1:1 g0:1 far:10 springer:2 geometrical:4 orientations:1 difference:1 condition:3 leads:2 presented:1 positions:5 proposals:3 vector:2 eigenvalues:1 refer:1 optics:4 tenths:1 upper:3 coordinate:3 pulse:1 feasibility:1 fold:1 second:1 blinov:1 further:2 linear:5 even:1 what:1 errors:1 rate:3 multiqubit:2 expressed:1 access:2 experiment:3 above:3 values:2 d1:1 method:7 coefficient:1 supporting:1 degree:2 exchange:1 respectively:1 component:1 julsgaard:1 atoms:43 olica:1 possibility:1 along:2 observing:2 obtained:1 cabrillo:1 lamata:1 suitably:1 technical:1 study:1 studied:1 allows:1 commonly:1 simultaneous:1 resulting:1 azimuthal:1 permutation:1 usually:2 suitable:2 uniquely:1 via:5 spatially:1 projection:1 polarizers:9 apply:1 total:2 tools:2 planck:1 unit:3 volz:1 use:3 indicated:1 usa:1 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quant-ph0703138.txt |@word magnetic:11 entropy:12 γt:1 under:6 c0s:1 affect:1 solution:30 vector:1 markov:2 triumph:1 specially:2 approximation:1 surrounding:2 second:6 qualitatively:1 even:14 established:1 ak1:1 selected:4 above:28 new:4 increasing:13 consisting:7 simultaneously:1 here:8 atoms:1 met:1 plenio:2 active:1 obtained:4 study:6 completely:4 akl:1 suitable:2 changes:3 appropriately:1 projection:1 explained:7 replace:2 visible:1 total:4 unit:12 plot:17 would:9 motivate:2 negative:3 16g2:7 kinematics:1 therefore:1 leaky:1 type:32 until:1 relax:2 hold:1 must:9 setup:1 work:3 temperatures:16 example:15 give:5 organized:1 generically:1 indicates:1 degenerate:3 times:3 absolute:2 provide:1 feature:3 very:4 hot:3 description:6 replacing:4 thermodynamic:4 earlier:1 lay:1 unentangled:3 types:1 third:4 green:1 decreasing:1 order:4 over:12 vary:1 expects:1 thesis:1 before:10 fix:2 destroyed:3 fig:3 maximal:2 eventually:2 them:4 negativities:5 combination:2 collide:2 σkn:1 effects:4 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