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quant-ph0703172.txt |@word rev:4 equalities:1 results:2 computation:1 replacements:2 nonlocal:7 present:1 under:1 alternating:2 straightforward:1 very:3 frequencies:2 regional:1 account:1 condition:2 hamiltonian:10 applicable:2 dealt:1 petersburg:1 programme:1 direct:1 budget:1 second:3 dynamics:5 implemented:1 odd:2 linear:1 even:2 index:1 cˆm:1 appear:2 brackets:1 giving:1 sum:3 expressed:1 version:1 above:1 new:5 method:5 mem:1 respectively:1 here:3 lodz:1 represented:1 standard:1 equations:3 obtained:2 convert:1 allows:1 periodic:1 poisson:1 social:1 fourier:1 makes:1 via:1 first:1 sgn:8 total:1 readily:2 use:3 positive:1 negative:2 nucl:1 ψn:4 ψm:1 tell:1 more:1 formally:1 operators:1 virtue:2 particular:3 known:1 keeping:1 quantized:2 quantize:2 science:2 equation:1 oscillator:2 iα2:1 mq:1 following:5 making:1 define:3 kosi:1 expanding:1 performed:1 rescaling:1 end:2 provide:1 how:1 instead:1 field:1 mar:1 oscillators:2 demanding:1 revealed:1 constants:1 times:1 natural:1 dynamical:2 imply:2 explicit:1 st:1 so:1 order:6 δmn:1 produces:1 developed:1 mainly:1 paper:1 its:2 find:1 coordinates:1 better:1 derivative:2 number:2 subtraction:1 they:2 now:2 easily:2 equality:1 university:2 orthonormal:1 2n:1 european:1 constraints:7 different:1 series:1 energy:1 used:2 solution:1 frequency:1 obtains:4 sketched:1 our:6 eq:6 p03b:2 shown:1 space:2 restricted:1 rep:1 lagrangian:4 douglas:1 attracted:1 integrated:1 math:1 theory:5 mω:1 quite:1 put:3 generate:1 ministry:2 b696:1 impose:1 nonnegative:1 motion:3 dλp:2 δik:1 consequence:1 first:2 already:1 variables:4 primary:1 given:1 eqs:6 recovered:2 continuous:1 authors:1 kind:1 zero:1 project:1 seminal:1 modern:1 generalization:2 seem:1 recover:1 latter:1 able:1 note:1 generalized:1 δnm:1 coincide:3 shall:1 phase:1 pais:5 considered:1 ramirez:1 bracket:4 principle:1 physics:1 fact:2 supported:2 theories:4 solutions:2 operational:1 only:1 explicitly:3 summarizing:1 gomis:2 indeed:1 do:2 ones:1 ϕi:1 ϕj:1 dt:2 secondary:1 arxiv:1 set:2 recently:1 quantizing:1 subject:1 nekrasov:1 state:1 approach:2 infinite:1 terms:3 attention:1 however:4 kamimura:2 dates:1 prescription:1 taking:1 according:1 quantization:2 ck:3 cn:3 cm:3 conclude:1 simple:3 lagrangians:2 harmonic:3 applicability:1 respect:2 katarzyna:1 strong:2 due:2 been:3 basic:1 expected:1 ph:1 hardly:1 abstract:1 corresponding:1 differentiating:1 fund:1 noncommutative:1 those:2 case:2 expanded:2 nski:1 value:1 transformation:1 szabo:1 refs:3 ii:1 skipping:1 reads:4 final:1 piotr:1 cjk:1 grant:3 complex:1 quant:1 higher:1 independent:3 arrives:1 upon:1 poland:1 solve:2 model:1 proposed:1 being:2 ostrogradski:5 polish:2 unique:1 point:1 iπ:2 remaining:2 momentum:1 read:1 spanned:1 period:1 possibly:1 vives:1 using:1 nonlocalities:1 mod:1 imposed:1 follows:1 δs:1 δq:2 δl:2 δm:1 arbitrary:1 reduced:1 because:1 classical:1 some:3 back:1 a62:1 provided:1 proceeding:1 dimensions:1 provides:2 reaching:1 constraint:3 od:2 introduces:1 o:1 uhlenbeck:5 2k:5 slightly:1 d63:1 into:6 references:1 difficult:1 long:1 quadratic:1 complete:1 form:7 but:1 sophisticated:1 compute:1 cij:2 us:1 theoretical:1 ωk:1 converted:1 problem:2 defining:1 ac:1 ak:1 describe:1 am:1 general:1 dirac:4 single:1 dλ:2 woodard:1 formalism:3 constructed:2 defined:3 reality:1 details:1 department:1 out:1 differential:1 expressible:1 models:2 additionally:1 pomorska:1 ago:1 implies:1 factors:1 dσ:1 implied:1 mass:1 time:5 far:1 starting:1 original:4 once:1
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quant-ph0703173.txt |@word limited:2 saturating:1 remarkable:1 camacho:1 rev:10 magnetic:1 separates:1 splitting:1 gy:1 four:5 consists:1 gaithersburg:1 amplified:1 issues:1 amplification:5 re:2 finally:1 squeezing:2 γc:11 maryland:1 include:1 cm2:1 division:1 supported:1 straightforward:1 orthogonal:1 very:3 frequencies:3 wave:3 mixing:3 bottleneck:1 common:1 leads:3 unlike:1 pbs:1 level:5 transmission:3 evaluation:1 proposals:1 standards:1 large:7 small:4 largo:1 dip:3 noted:1 related:2 degeneracy:1 upper:4 cfm:1 findings:1 renormalizing:1 renormalized:2 direct:2 pulse:18 cosh:4 past:1 second:5 enhancement:2 qualitatively:1 dynamics:5 expressions:2 linear:6 index:1 nonlinear:1 apparatus:1 while:3 cell:1 consistently:1 experiment:1 above:2 fractional:5 ground:3 coefficient:2 full:1 ms:1 respectively:4 residual:1 here:2 atoms:1 operating:1 sinh:3 alone:1 strong:3 equations:5 change:1 obtained:2 balance:1 spite:2 institute:1 study:1 larger:4 allows:1 maleki:1 4wm:11 suggests:1 usually:1 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quant-ph0703174.txt |@word secondly:1 extrapolated:2 partial:1 gr:1 caused:2 magnetic:1 qdq:1 results:6 illustrated:1 entropy:5 controversial:1 go:3 issues:2 consider:4 increase:1 depend:1 referring:1 1µm:1 concerned:1 12g:2 ts:1 finally:1 tm:8 those:1 under:2 te:28 interchange:1 ingredient:1 p2:1 g3:1 g1:1 very:11 kcl:1 aarseth:6 mg:1 focus:2 fth:9 trouble:1 difference:2 exact:2 strand:1 europhys:2 riemann:1 level:1 did:1 turns:4 notes:1 correct:3 large:4 small:8 noted:3 smaller:1 force:9 bo:2 maclaurin:3 consistent:4 d3:3 direct:1 sign:1 zero:22 terminated:1 realistic:1 7th:1 qualitatively:1 estimated:1 substitute:1 theory:7 residue:2 aim:1 what:3 d2:5 section:2 while:2 supplied:1 3t:1 current:1 experiment:3 poles:1 goes:2 lifshitz:2 obvious:1 3a:4 increasing:2 consisting:1 contrast:2 satisfy:2 edited:2 full:1 nonuniformly:1 degree:1 respectively:1 equals:1 here:6 odintsov:1 pratt:1 mev:3 tangent:1 ansatz:1 separation:5 relaxation:3 ratio:3 astrid:3 respect:1 change:1 calculate:2 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quant-ph0703175.txt |@word results:1 edu:1 whose:1 christandl:1 analogous:16 song:3 wave:2 condition:3 presented:2 transmission:6 guo:2 t0:2 try:3 specially:2 second:4 employ:2 sun:1 section:1 expressed:1 u31:2 acknowledgments:1 lee:3 mei:2 teleportation:8 here:3 ryszard:1 china:2 others:2 observing:1 studied:2 bob:4 via:2 cnsf:1 apply:2 use:6 m5:5 m4:10 m7:5 m6:5 m1:48 m3:11 m2:11 m8:5 more:5 separated:2 alastair:1 successful:3 operators:4 carrying:2 known:2 projective:2 iii:3 setup:2 work:1 example:4 numbers:2 f3:2 f5:2 f7:4 f8:3 f9:3 bennett:1 share:4 states:57 koashi:1 information:10 means:1 how:2 sin:10 brassard:1 mar:2 after:2 different:1 produce:2 fi:4 data:2 physical:2 effective:3 so:1 bipartite:5 typical:2 over:2 produced:1 paper:4 through:4 excitations:2 grzegorz:1 perfect:2 f45:2 till:2 cle:1 troubles:2 li:4 fig:7 therefor:5 overcome:1 propose:3 they:2 realize:1 easily:1 name:2 university:2 each:2 schemes:4 another:2 obtains:2 measurement:5 quantum:48 our:2 operation:2 out:2 accomplish:2 matrix:4 rev:11 particles:8 got:2 ref:2 shows:2 datta:1 theory:2 gardiner:1 possibility:2 difficulty:2 jozsa:1 pairs:5 could:4 first:6 probability:11 matthias:1 channels:5 fast:2 directly:2 carry:2 electronic:1 given:1 long:2 introduction:2 system:5 least:2 scheme:4 exactly:2 hui:2 yurke:1 chong:3 than:4 coefficients:2 wootters:1 require:1 crepeau:1 f13:2 f10:3 f11:2 f17:1 f15:1 exhibit:3 dalian:4 say:2 landahl:1 multipartite:6 storage:2 gavish:1 liu:3 ideal:1 take:1 transmit:7 channel:2 propagate:2 pair:2 kay:1 yang:2 physics:2 show:2 supported:1 relation:4 find:2 based:2 he:3 achieve:1 get:4 nearly:2 distinctly:2 delgado:1 arxiv:2 method:2 behroozi:1 sec:4 terms:2 ways:2 state:33 difficulties:1 various:4 between:6 recently:2 ability:1 nature:1 qubits:2 miranowicz:2 dorlas:1 cos:8 equal:2 qubit:4 whole:3 cn:1 bell:31 address:1 cirac:1 tony:1 ps:3 three:4 been:2 interest:2 expected:1 u13:2 u15:2 u14:2 systems:4 andrew:1 c8:3 c3:12 c2:14 c1:12 c7:3 c6:3 c5:3 c4:12 pacs:2 ozdemir:1 tana:1 will:3 suppose:6 di:2 unitary:8 iv:1 ii:4 duan:1 hirayama:1 grant:1 perform:4 parti:2 lett:4 same:2 imoto:1 quant:3 largest:2 f67:3 f64:3 shan:3 difficult:2 uses:2 entanglement:15 normalization:1 task:2 pellizzari:1 well:2 know:3 distances:2 proposed:2 transmitting:8 when:3 tasks:3 distant:2 zoller:1 photons:4 had:2 location:4 easy:3 hau:1 identical:2 entangled:2 mod:2 success:1 performing:2 alice:4 either:2 arbitrary:2 essential:2 because:2 deal:3 successfully:2 some:6 examples:2 b2:4 lead:3 process:6 ba:25 bb:26 bc:9 processing:2 departures:7 important:2 dutton:1 f37:2 artur:1 operator:5 quasispin:2 networking:2 prepare:3 u5:2 transfer:22 u7:4 there:4 u1:2 u3:2 u2:2 was:1 complete:1 form:2 bus:2 analyse:2 but:2 gain:4 ling:1 ph:3 partially:1 lukin:1 us:1 ui:4 aa:27 ac:7 ab:27 constant:1 galindo:1 peres:1 kimble:1 constructed:2 no:3 ekert:1 generally:2 other:5 department:2 conclusion:1 elements:2 superposition:2 zhou:1 prepared:6 a1:2 a2:2 martin:1 observe:1 adam:1 time:6 f70:3
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quant-ph0703176.txt |@word qiang:1 consider:1 similarity:1 equalities:1 dynamic:1 results:2 leads:1 generalize:1 computation:5 fig1:1 consists:1 settlement:1 calculate:3 qian:1 finally:1 th:3 song:1 difference:1 condition:2 splitter:1 transmission:1 michael:1 try:3 convenience:1 phase:1 eigenvalues:2 edu:1 rate:1 chen:1 odd:1 even:3 plays:1 assisted:1 above:2 new:4 ˆk:1 ˆm:1 lee:1 ρab:5 modify:1 teleportation:2 here:6 china:1 address:1 change:3 obtained:1 convert:1 receive:1 larger:1 suggests:2 accomplished:1 usually:1 bob:2 suitable:1 useful:2 clare:1 replace:1 cnsf:1 buildup:1 apply:2 total:9 use:2 ctotal:8 more:4 separated:1 sharing:1 composite:1 becomes:1 xiao:1 particular:1 known:1 iii:1 capturing:1 dunning:1 equation:1 work:1 ρm:1 cab:1 example:1 links:1 give:7 process:3 escaped:1 indicates:1 numbers:1 want:1 counting:1 information:7 means:1 write:1 sate:1 instead:1 staying:1 mar:1 max:1 after:5 so:6 order:2 operations:1 produces:1 concurrence:22 paper:5 through:2 mentioned:3 fidelity:2 still:1 its:4 symmetry:1 li:3 systems:5 isaac:1 ours:2 therefor:2 maximal:6 them:1 they:4 realize:6 easily:3 vidal:2 university:3 oppositely:2 mode:10 each:2 2n:2 schemes:1 doing:1 especial:2 related:3 used:2 obtains:1 measure:5 quantum:37 our:2 operation:4 transitions:1 accomplish:4 matrix:5 restricted:1 rev:10 particles:3 hill:1 rm:1 ref:12 viable:1 theory:1 nth:1 whereupon:1 put:1 generate:2 definition:1 couldn:3 starts:1 could:10 first:6 yong:1 probability:13 powerful:1 number:2 reaches:1 approximately:1 another:3 ying:1 electronic:1 several:1 giorda:1 given:5 necessarily:1 their:3 introduction:2 unknown:2 equ:6 system:16 reflectivity:1 indicate:1 intermediate:2 too:1 1i:3 1k:1 scheme:3 gives:1 collapse:1 relationship:1 part:1 chong:1 coefficients:2 distance:1 kind:1 wootters:4 second:1 pairwise:1 1n:4 zanardi:1 dalian:2 comput:1 generalization:1 need:1 subsystems:1 take:4 analogy:1 transmit:4 channel:1 sure:1 trace:1 though:1 who:1 reach:1 pair:1 don:1 detectors:1 prepare:15 physics:2 supported:1 chuang:1 find:12 feng:1 based:1 explain:1 distributed:1 only:8 partially:1 local:1 hope:1 do:1 get:11 express:1 beam:1 ˆi:1 resource:1 arxiv:1 acknowledgments:1 she:2 view:1 operates:1 sec:1 result:7 review:1 initially:1 state:76 difficulties:1 various:1 between:5 recently:2 qubits:11 mei:1 wu:2 jon:1 improve:1 last:3 0k:2 qubit:38 0i:1 whole:1 comes:1 0m:2 ck:2 cj:8 ci:4 cn:46 cm:12 bell:1 hollow:2 ab:1 described:1 cavities:4 basis:1 locally:1 three:1 been:1 combined:1 interest:1 sachdev:1 ph:1 fig:1 wants:2 finishes:1 photon:18 qst:6 c3:2 c2:44 c1:47 spin:1 multi:1 pacs:1 will:6 situation:1 di:1 characterizing:1 unitary:1 refs:1 surprisingly:1 iv:1 ii:2 middle:1 capture:2 different:2 grant:1 suggest:1 make:6 same:11 quant:1 widely:1 gets:1 shan:1 φn:5 finish:3 kim:1 entanglement:14 gong:1 0n:13 obviously:2 without:1 firstly:1 position:1 know:4 being:3 distribute:1 obtain:1 spatially:1 λi:1 hai:1 tong:1 density:3 regarded:1 except:1 other:4 lett:4 real:1 nielsen:1 whichever:1 entangled:2 press:2 using:2 like:5 particle:3 follows:1 alice:3 arbitrary:1 works:1 because:1 classical:2 people:1 successfully:1 some:5 mirror:1 normal:1 does:1 kwek:1 measuring:2 contrasting:2 journal:1 processing:5 although:1 banaszek:1 losing:1 refers:1 properties:2 about:2 getting:1 act:1 cambridge:4 communication:2 into:2 device:8 parties:2 jing:1 her:1 transfer:16 there:9 question:2 long:1 way:8 huan:1 was:2 form:7 but:3 ling:1 subsidiary:1 he:4 paolo:2 consist:1 whether:2 maximum:2 us:1 ur:2 uk:1 define:1 similar:3 agree:1 cirac:2 defined:2 measurement:4 general:25 single:6 qit:2 inf:1 again:1 no:7 when:11 vanishes:1 application:2 setting:1 role:1 department:1 conclusion:1 elements:1 kinds:2 zhou:1 important:2 oh1:1 implies:1 factorized:2 changed:1 n2:1 requires:1 having:1 once:1
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quant-ph0703177.txt |@word limited:1 concept:1 gs:2 consider:5 remarkable:1 similarity:1 bellaterra:1 rev:17 green:1 excellent:1 rod:1 results:2 leads:8 childs:1 generalize:3 computation:3 consists:2 expressions:1 ebit:2 localized:2 virmani:1 farhi:1 increase:3 simon:1 chain:16 aug:1 graph:1 white:1 tr:2 contained:1 presents:1 finally:2 christandl:1 aut:1 th:1 under:3 nodes:1 te:1 magnetic:1 divergent:1 ctqw:8 kπ:1 departament:1 lobes:1 orthogonal:1 very:2 eckert:2 account:1 focus:1 mps:5 experimentally:1 difference:1 matrices:1 treating:1 four:1 hamiltonian:11 uncovering:1 large:5 discrete:1 adjust:1 o1:1 dit:1 cni:2 straight:1 programme:1 possibility:1 upper:1 ifae:4 force:1 lewenstein:3 periodicity:1 cond:2 mimicking:1 sin2:1 defect:1 sign:1 jump:1 second:2 enhancement:1 further:1 dynamics:13 odd:1 even:2 will:4 trapping:2 section:2 localization:1 while:2 networks:1 ˆa:1 above:1 hfree:2 ˆi:7 ground:30 method:1 contrast:1 body:1 evolving:1 full:1 monien:2 mec:1 placing:1 angelakis:1 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