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quant-ph9908089.txt |@word gv:1 sci:1 results:5 scalar:1 computation:1 rourke:1 rov:1 gh:2 whose:2 simon:1 calculate:2 aug:1 tu:1 does:1 squeezing:7 present:2 fidelity:1 analogous:1 norm:3 ra:7 overlaps:1 g1:7 orthogonal:4 very:2 account:1 nipne:1 matrices:5 condition:3 quantitatively:1 presented:1 knight:1 nucl:1 solut... |
quant-ph9908090.txt |@word mechanics:1 mathematical:1 sep:1 am:1 paper:1 apologize:1 archive:1 erroneously:1 readers:1 cross:1 submit:1 should:1 re:1 quant:1 listing:1 print:1 ph:2 math:1 led:1 you:1 sorry:1 me:2 look:1 my:1 arxiv:1 will:1 terribly:1 hope:1 physics:1 |
quant-ph9909001.txt |@word argyres:2 partial:1 gr:2 remarkable:1 similarity:3 gupta:4 oss:2 lack:1 dynamic:1 results:7 leads:2 scalar:1 woods:8 consists:1 sci:2 osc:1 kluwer:1 rom:1 content:1 roussev:16 demircan:1 technique:1 containing:2 finally:1 alvarez:1 th:1 under:4 anharmonic:5 worth:1 merchant:1 applied:1 jensen... |
quant-ph9909002.txt |@word gr:1 roussev:2 similarity:3 lack:1 results:3 although:1 scalar:1 woods:9 consists:1 osc:1 rom:1 particles:6 terms:4 remarkable:1 under:4 analogous:1 worth:1 indicating:1 jensen:1 advantage:1 very:3 pressley:1 kolokotronis:1 experimentally:2 nishioka:2 difference:2 magic:34 vibrational:3 level... |
quant-ph9909003.txt |@word secondly:1 illustrated:1 ge:1 ros:2 reˇ:2 preserves:1 const:3 clarification:2 segments:1 quasi:5 alvarez:1 mutandis:1 anharmonic:1 presentation:1 applied:1 kπ:1 far:1 decreases:1 wave:2 resonant:1 exact:1 riemann:1 hamiltonian:1 solution:1 large:1 discrete:2 2r2:1 manifestly:2 unexpected:1 me... |
quant-ph9909004.txt |@word concept:1 consider:5 locations:1 results:4 illustrated:1 roy:3 gi:2 replacements:1 baye:3 γr:2 quasi:2 present:1 th:3 under:1 nodes:1 divergent:2 applied:2 belonging:1 edi:1 straightforward:1 g0:1 rise:1 springer:3 choice:3 lecture:2 difference:2 condition:13 leads:6 presented:2 diverging:1 t... |
quant-ph9909005.txt |@word limited:3 measurements:3 partial:3 consider:6 represent:1 brownian:1 results:8 four:2 roy:2 commute:1 entropy:2 faster:2 compact:1 increase:3 iii:2 environment:11 finally:1 under:2 tegmark:2 td:1 p2:2 infinite:1 zhang:2 far:4 frequencies:2 conditions:2 maali:1 dispersions:1 2γt:2 experimental... |
quant-ph9909006.txt |@word represent:3 partial:1 consider:2 forbidden:1 amplifier:14 splitting:2 leads:1 quadrature:9 commute:1 per:1 go:1 amplified:2 poorly:3 whose:4 tr:6 send:5 γt:27 presents:1 finally:2 compensate:2 squeezing:9 under:2 stochastic:1 sent:19 supported:1 g2:10 straightforward:1 orthogonal:1 far:1 choi... |
quant-ph9909007.txt |@word neighbors:7 represent:5 concept:1 consider:2 limited:1 rev:3 broaden:1 global:4 desirable:2 unchanged:1 four:7 generalize:1 computation:11 consists:2 subjects:1 causes:1 compact:2 depend:1 re:4 alamos:1 subjected:3 technique:1 factoring:1 environment:2 finally:1 those:3 under:1 analogous:1 in... |
quant-ph9909008.txt |@word neighbors:1 represent:1 measurements:9 customary:1 consider:6 chain:10 interference:1 magnetic:19 varying:3 brownian:1 fabricated:1 four:10 received:1 scalar:6 overlap:3 computation:7 go:1 gn:25 covalent:1 disk:1 centers:2 localized:3 optical:5 whose:4 aligned:4 depend:1 zone:4 iii:2 subjecte... |
quant-ph9909009.txt |@word limited:2 concept:4 consider:2 springer:1 rev:3 magnetic:1 particular:2 dynamic:1 results:1 leads:3 scalar:4 expressions:1 reasoning:1 localized:4 increase:1 const:1 april:2 nonlocal:1 environment:9 finally:1 excluded:1 under:1 stochastic:1 kθ:4 sent:1 case:8 conjecture:1 amplitudes:2 suscept... |
quant-ph9909010.txt |@word limited:1 measurements:6 consider:6 caused:3 splitting:1 eds:2 commute:5 go:1 issues:1 increase:1 reformulate:1 pˆi:1 corrections:3 stable:1 include:1 p2:1 amplitudes:1 g0:6 very:1 rise:1 springer:2 wave:11 summarized:1 little:1 exact:2 condition:4 school:1 internally:1 hamiltonian:16 transmi... |
quant-ph9909011.txt |@word customary:1 consider:5 results:1 entropy:38 computation:1 go:1 partial:1 relationships:1 whose:2 maximally:13 depend:1 send:4 environment:1 under:4 characterised:1 resources:3 henderson:1 orthogonal:9 far:2 rise:3 choice:1 ρb:15 difference:3 generalised:1 entire:1 knight:1 large:2 interpolati... |
quant-ph9909012.txt |@word secondly:2 folklore:1 limited:1 squared:12 dynamic:14 four:2 consists:7 sch:1 relationships:5 whose:15 aug:1 unanswered:1 γk:3 γi:2 under:16 reversibility:1 every:62 govern:1 affect:1 believed:1 school:1 solution:2 upa:4 admissible:9 convenience:7 vector:5 enhance:1 force:1 deutsch:6 approxim... |
quant-ph9909013.txt |@word limited:4 concept:5 consider:2 pointing:1 illustrates:1 caused:3 lack:3 results:45 four:1 computation:1 foundations:1 contributions:2 preserves:1 depend:1 squeezing:2 preserved:1 include:1 summarizes:1 applied:1 probe:4 takes:1 reid:1 very:6 noncommuting:5 readout:5 probability:18 worst:1 sum... |
quant-ph9909014.txt |@word consider:1 remarkable:2 splitting:22 eds:1 quadrature:1 commute:1 computation:5 edu:2 consists:1 looking:1 simon:2 tx:1 auf:1 algebraische:1 m2n:4 rightmost:1 program:4 indicate:1 tk:5 ingredient:1 manipulates:1 advantage:1 orthogonal:1 assuming:1 translations:1 valued:1 decide:1 difference:1... |
quant-ph9909015.txt |@word secondly:1 consider:1 remarkable:3 rev:1 desirable:1 leads:1 ge:2 entropy:1 consists:1 ts:1 eβ:1 chennai:1 straightforward:1 song:2 very:2 corollary:1 traced:1 difference:1 hamiltonian:3 did:2 turns:1 tanh:6 indices:1 eigenvalues:4 employing:1 occurrence:1 exten:1 consistent:1 cosh:12 zero:6 ... |
quant-ph9909016.txt |@word surrounded:1 partial:1 consider:3 rob:1 results:6 four:1 schatten:1 proposition:9 computation:2 edu:2 follow:3 landau:1 gk:2 restrictions:1 compact:3 whose:5 violate:12 tr:52 contained:7 nonlocal:2 finally:1 under:1 norm:22 applied:1 conjecture:3 g4:1 g3:1 g2:1 straightforward:2 outside:1 ver... |
quant-ph9909017.txt |@word limited:2 integration:1 whose:1 depend:2 calculate:1 technique:1 tn:1 tl:3 tk:2 th:3 under:1 case:1 far:1 entries:1 exact:1 κq2:1 solution:1 t1:4 large:1 vector:1 arnimallee:1 second:1 theory:2 what:1 expressed:1 agrees:1 version:1 above:1 new:2 method:1 3d:4 q2k:4 condmat:1 here:1 desired:2 ... |
quant-ph9909018.txt |@word rev:13 gy:1 lewenstein:2 consists:1 research:1 gk:5 inverse:7 calculate:1 concerned:1 finally:2 under:4 applied:2 amplitudes:1 far:2 wave:1 print:1 frequencydependent:1 resonant:3 experimentally:1 difference:1 hamiltonian:1 transmission:2 knight:6 solution:2 damped:1 large:1 solid:3 vector:2 ... |
quant-ph9909019.txt |@word magnetic:1 decays:1 results:11 four:1 generalize:1 comments:1 broader:1 gn:1 hole:2 localized:1 calculate:8 eˆ:1 γk:1 finally:2 th:2 under:1 stochastic:1 analogous:1 include:1 γf:3 applied:1 orthogonal:1 very:7 frequencies:8 wave:1 resonant:7 affect:1 exact:1 level:14 positions:3 vector:7 sma... |
quant-ph9909020.txt |@word represent:1 partial:1 consider:2 pointing:1 illustrates:1 results:7 entropy:3 computation:1 edu:1 expressions:1 scr:1 compact:1 whose:2 ty:1 concerned:2 tu:2 tr:4 tn:15 aus:1 lanford:2 th:2 stochastic:7 include:1 applied:1 supported:1 orthogonal:7 rise:3 connects:2 choice:1 corollary:8 mixing... |
quant-ph9909021.txt |@word sci:1 switched:2 amplifier:2 results:2 illustrated:1 quadrature:1 computation:1 follow:1 issues:1 auckland:2 γv:2 finally:2 squeezing:3 under:1 γb:2 γa:4 include:1 ingredient:1 interacting:1 g0:3 far:1 wave:5 mixing:1 difference:1 rotating:2 impressive:1 level:1 knight:1 tanh:2 culminating:1 ... |
quant-ph9909022.txt |@word called:3 footing:1 proposed:1 eaires:1 perelman:2 funtions:1 known:1 shape:2 already:1 through:1 nf:1 integer:1 possibilities:1 gaeta:1 briefly:1 eigenstates:3 localized:1 previous:1 devoted:1 initial:2 depend:1 application:1 exact:1 radcliffe:1 intensive:1 only:3 spread:2 squeezing:3 systems... |
quant-ph9909023.txt |@word ito:1 ui:1 particularly:1 phenomenon:3 show:1 september:1 eaires:1 pointed:1 results:1 years:2 ge:1 paper:2 turek:1 thanks:1 committee:1 polish:1 research:1 jaynes:1 λn:1 localized:1 effect:1 probability:1 density:1 energies:1 representing:1 zˆ:2 lj:3 enough:1 wps:2 other:1 ls:1 under:2 oscill... |
quant-ph9909024.txt |@word consider:14 pointing:1 extremes:1 melts:1 pairing:1 magnetic:14 desirable:1 splitting:2 interpret:1 eds:1 ginzburg:1 generalize:1 rebbi:1 computation:3 consists:3 gl:5 hole:3 localized:5 whose:4 γx:6 depend:2 calculate:1 equivalence:2 nonlocal:2 finally:2 does:7 device:10 preserved:2 th:1 sta... |
quant-ph9909025.txt |@word represent:4 concept:4 ptk:2 consider:12 pti:1 illustrates:1 induces:6 global:1 four:5 roy:1 scalar:1 entropy:2 foundations:1 intricate:1 sci:1 seemed:1 compact:1 whose:5 certainly:1 inverse:1 providence:1 tt:5 deterministic:2 a19:1 grangier:1 presents:2 finally:1 those:1 excluded:1 under:14 t... |
quant-ph9909026.txt |@word consider:4 chain:1 meson:1 edk:1 equalities:1 separates:1 brownian:1 results:3 existing:1 leads:6 gf:8 scalar:1 commute:8 entropy:3 per:1 grateful:1 edu:1 go:1 follow:1 expressions:1 conversation:2 issues:1 gr:1 whose:1 preserves:1 inverse:2 depend:1 referring:1 advantage:1 tr:5 acting:1 send... |
quant-ph9909027.txt |@word represent:2 consider:3 chain:1 caused:1 magnetic:8 results:4 four:5 computation:6 consists:1 whose:1 depend:1 alamos:2 tn:10 company:1 finally:1 th:18 under:1 include:1 division:1 supported:1 amplitudes:1 zhang:1 very:1 frequencies:3 induce:1 wave:5 coprime:2 figs:4 polytechnic:1 resonant:58 ... |
quant-ph9909028.txt |@word represent:1 concept:2 consider:7 ceases:1 caused:1 green:12 both:2 dynamic:1 results:3 leads:3 entropy:7 consists:1 localized:4 whose:2 rosen:2 2n0:1 zone:1 transferred:1 tr:2 acting:2 anglin:1 environment:4 finally:1 those:2 under:1 analogous:1 presentation:1 preskill:1 applied:1 belonging:1... |
quant-ph9909029.txt |@word replacing:1 consider:9 switched:1 rev:8 illustrated:2 quadrature:2 generalize:1 broader:1 parameterization:1 go:1 gl:12 reynaud:1 whose:1 requested:1 breached:2 seno:10 arthurs:2 technique:1 tr:17 pˆq:6 violation:1 finally:5 tm:2 squeezing:21 those:1 excluded:1 under:1 tf:50 breach:2 include:... |
quant-ph9909030.txt |@word replacing:1 represent:1 partial:5 consider:3 limited:4 caused:1 amplifier:2 results:8 alerting:1 quadrature:23 pvac:2 pˆa:15 whose:1 pˆb:9 calculate:3 re:1 korolkova:1 chances:1 compensate:1 squeezing:2 peng:2 sent:4 pˆ:4 confirmation:1 amplitudes:11 advantage:1 orthogonal:2 far:1 intriguing:... |
quant-ph9909031.txt |@word represent:1 concept:1 partial:1 consider:6 remarkable:1 limited:1 global:12 desirable:1 results:2 leads:1 scalar:3 code:11 generalize:1 computation:1 follow:2 denotes:8 causes:1 semiconductor:1 maximally:26 calculate:1 including:2 finally:1 program:2 wako:1 th:3 under:2 analogous:1 p2:9 conje... |
quant-ph9909032.txt |@word neighbors:4 limited:1 code:2 sci:1 consider:7 chain:31 caused:1 magnetic:12 results:6 known:2 computation:5 fig1:1 expressions:2 whose:3 alamos:2 present:1 th:17 under:3 vrijen:1 include:2 third:2 division:1 supported:1 amplitudes:1 frequencies:2 wave:5 electron:1 figs:10 polytechnic:1 resona... |
quant-ph9909033.txt |@word measurements:3 sci:1 consider:6 chain:24 caused:1 magnetic:56 splitting:3 produce:1 computation:14 expressions:1 targeted:1 causes:1 whose:2 certainly:3 inverse:2 leung:1 alamos:4 technique:1 magnetostatic:3 created:1 finally:2 behave:1 γn:11 th:1 under:4 γb:5 anharmonic:1 tc:5 γe:9 division:... |
quant-ph9909034.txt |@word gang:1 edu:1 kinetic:3 find:1 q1:3 villars:1 q2:3 calculate:1 density:1 ier:1 should:1 parts:1 other:3 mail:1 distributes:2 momentum:7 real:2 amplitudes:1 means:1 de:2 wave:1 know:1 vacuum:1 dt:1 february:1 particle:13 university:1 arxiv:1 indisputable:1 reasonable:2 mathematical:1 classical:... |
quant-ph9909035.txt |@word neighbors:4 externally:1 sci:1 consider:3 maximum:1 rev:8 focus:1 four:1 generalize:1 consists:2 perturbations:1 expressions:1 depend:2 calculate:1 alamos:2 technique:1 environment:1 charge:2 under:1 stochastic:2 include:1 division:1 breathing:5 amplitudes:3 string:23 orthogonal:3 very:5 freq... |
quant-ph9909036.txt |@word consider:3 leads:1 depend:1 technique:3 finally:5 worth:1 sent:1 g3:11 g2:5 g1:6 evolves:1 frequencies:1 wave:1 experimentally:1 difference:1 four:2 vibrational:17 hamiltonian:3 proposals:1 discrete:1 adjust:1 work:3 pulse:4 dynamics:1 cesar:1 stands:1 current:2 increasing:1 acknowledgments:1... |
quant-ph9909037.txt |@word concept:1 partial:1 consider:4 illustrates:1 duplicates:3 induces:2 results:2 quadrature:2 computation:4 expressions:1 denotes:2 localized:3 devoted:1 whose:1 inverse:1 depend:1 calculate:1 supported:1 finally:1 program:1 squeezing:1 under:1 tr1:2 pˆx:1 analogous:2 tr2:1 worth:1 p2:4 conjectu... |
quant-ph9909038.txt |@word limited:2 saturating:1 switched:1 magnetic:7 comparatively:1 results:1 computation:2 consists:1 fmrx:2 calculate:1 technique:2 vs:1 acting:1 environment:2 compensate:1 present:1 th:2 stable:1 broaden:1 indicating:1 alternating:1 p2:1 far:1 frequencies:5 modes:2 engineered:1 electron:2 manipul... |
quant-ph9909039.txt |@word zint:10 entropy:31 consists:4 whose:4 calculate:3 29b:1 29a:1 γj:21 lanford:1 under:5 convexity:3 vector:14 indices:2 markov:12 10b:1 10c:1 consistent:1 10a:1 10d:1 second:5 implemented:1 even:1 errors:1 above:17 new:10 net:136 consisting:1 told:1 simultaneously:2 equals:8 here:2 atoms:2 repr... |
quant-ph9909040.txt |@word logarithms:2 sci:2 consider:2 interference:1 proposition:1 generalize:2 computation:5 go:1 looking:1 amplification:2 calculate:1 tx:2 subjected:1 factoring:2 indicate:1 helps:1 case:4 random:1 straightforward:1 orthogonal:6 very:2 geometrical:2 unstructured:1 corollary:4 emphasized:1 logarith... |
quant-ph9909041.txt |@word monte:1 consider:18 chain:2 saying:1 global:4 results:2 entropy:5 consists:1 follow:1 issues:1 row:1 devoted:1 whose:2 calculate:5 graph:6 equivalence:1 tr:10 posteriori:5 monotonically:2 γm:7 under:4 nodes:26 eβ:1 henderson:1 applied:1 belonging:1 amplitudes:5 orthogonal:5 very:2 maximized:4... |
quant-ph9909042.txt |@word αxi:4 schumaker:1 quadrature:2 research:1 violate:1 topic:1 analogous:1 norm:1 p2:21 amplitudes:1 rise:1 wave:12 experimentally:2 condition:1 positions:2 array:1 proposals:1 discrete:2 small:1 optics:1 employing:1 tex:1 zero:3 greenberger:3 even:2 employ:1 what:2 brackets:1 section:1 experime... |
quant-ph9909043.txt |@word represent:1 consider:4 remarkable:1 switched:1 caused:1 magnetic:5 results:2 sh:1 segr:1 known:3 generalize:1 reinserting:1 consists:1 expressions:2 faster:1 contributions:4 scr:1 whose:7 inverse:8 depend:2 dp:1 contained:3 experimentally:3 finally:3 ny:1 those:4 th:2 under:6 kλ:34 γb:2 ev2:1... |
quant-ph9909044.txt |@word represent:1 partial:9 consider:4 ceases:1 desirable:1 results:1 leads:2 scalar:1 commute:2 comments:1 computation:1 go:1 follow:1 worked:1 compact:2 preserves:1 simon:4 tr:5 finally:2 preserved:1 under:11 case:9 chennai:1 differently:1 wave:1 handling:1 every:6 entries:2 affect:1 little:1 mat... |
quant-ph9909045.txt |@word concept:1 partial:1 consider:2 illustrates:1 rev:23 global:1 rod:1 focus:1 four:2 eds:1 entropy:19 edu:1 go:1 follow:1 expressions:2 eη:5 increase:1 amplification:1 depend:2 iνt:1 marcos:2 financial:2 tr:1 recurrence:10 those:1 under:1 td:1 worth:1 norm:1 counterrotating:1 amplitudes:1 return... |
quant-ph9909046.txt |@word represent:1 partial:2 consider:7 pointing:1 rev:6 varying:1 results:3 existing:1 leads:4 scalar:2 depend:3 calculate:1 tr:1 ts:1 tn:18 tm:1 under:5 include:1 worth:1 belonging:1 rtn:1 straightforward:1 orthogonal:1 dell:1 choice:4 concatenating:1 matrices:1 condition:5 four:5 quantitatively:1... |
quant-ph9909047.txt |@word concept:2 consider:2 similarity:1 interference:1 magnetic:2 focus:1 illustrated:3 antennas:1 kato:1 follow:1 row:3 passage:2 rise:1 results:2 resonant:1 experimentally:1 difference:1 four:3 riemann:2 level:23 did:1 turns:1 proposals:1 heiss:6 deals:1 contexts:1 eigenvalues:1 enforce:1 degener... |
quant-ph9909049.txt |@word limited:1 consider:7 represent:1 rev:6 results:7 illustrated:1 commute:14 entropy:1 assigned:4 edu:1 reasoning:5 issues:2 row:13 certainly:1 referring:1 assigning:2 concerned:1 editors:1 containing:1 finally:1 preserved:1 th:1 under:1 analogous:2 include:1 case:6 belonging:2 outside:2 very:2 ... |
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