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quant-ph9808067.txt |@word represent:5 partial:46 consider:5 secondly:1 clauses:4 induces:1 global:17 desirable:1 souls:2 leads:3 known:1 proposition:48 generalize:6 grateful:1 presheaves:24 follow:3 subobject:17 wholly:1 displaying:1 whose:7 certainly:1 depend:1 referring:1 concerned:1 factoring:1 tr:2 settlement:1 tp...
quant-ph9809001.txt |@word concept:1 consider:7 rev:1 lack:1 activated:1 eds:1 instantaneous:1 causes:1 phenomenon:1 whose:2 description:2 deterministic:1 nonlocal:1 program:2 preserved:1 under:1 ontological:1 brown:1 conjecture:1 risk:1 very:10 rise:1 choice:1 electron:5 every:4 emphasized:1 difference:1 sant:4 obviou...
quant-ph9809002.txt |@word gv:1 consider:4 research:1 whose:1 inverse:2 tr:16 young:1 th:2 under:4 case:22 g3:4 jensen:1 g1:6 g0:2 nonselfadjoint:1 choice:1 print:1 every:4 decide:1 difference:2 condition:5 large:3 equation:3 mn:1 consistent:12 measurable:1 second:4 errors:1 g22:2 scientists:1 new:1 acknowledgments:1 s...
quant-ph9809003.txt |@word magnetically:1 represent:1 externally:3 consider:2 remarkable:1 illustrates:2 hemmen:1 magnetic:3 particular:1 dynamic:1 results:4 integration:1 four:2 ghrist:1 lewenstein:1 consists:3 expressions:1 contributions:1 weakly:1 localized:1 cyclically:1 compact:1 increase:1 griffin:1 inverse:1 col...
quant-ph9809004.txt |@word limited:1 logarithms:1 consider:7 represent:2 magnetic:2 splitting:1 leads:8 computation:24 c2:14 consists:1 systematic:1 factorizing:1 compact:2 whose:1 feeding:1 leung:1 knill:2 technique:6 factoring:4 striking:1 does:6 swap:3 th:1 under:1 include:1 vandersypen:1 applied:1 straightforward:2...
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quant-ph9809006.txt |@word forget:1 rx:5 results:3 ferreira:1 generalize:1 microwave:1 follow:2 consider:5 paris:1 father:1 nonlocal:1 passage:2 finally:2 does:1 marks:1 hermann:1 include:2 fax:1 presently:1 orthogonal:1 very:2 2re:1 account:2 wave:13 resonant:1 experimentally:1 emphasized:1 2rr:1 splitter:7 leave:1 ve...
quant-ph9809007.txt |@word partial:2 results:4 four:1 expressions:1 nwo:1 δnk:2 tt:3 tr:4 supported:1 tail:1 th:1 brown:2 photocount:2 amplitudes:2 advantage:1 far:2 frequencies:2 matrices:1 inset:3 moderate:1 presented:1 transmission:3 ref:1 tanh:1 large:5 eigenvalues:2 optics:1 smaller:5 disordered:4 foundation:1 α2k...
quant-ph9809008.txt |@word represent:1 gt:1 consider:4 magnetic:15 results:9 worked:2 whose:3 simon:2 depend:1 spin:7 tr:1 shall:1 environment:8 finally:1 tj:1 tk:4 th:2 ti:1 tf:1 γb:1 analogous:1 γe:2 applied:2 amplitudes:2 straightforward:1 far:1 activation:1 focus:2 experimentally:1 exact:11 condition:4 look:1 δt:8 ...
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quant-ph9809010.txt |@word limited:1 ui:3 partial:17 consider:9 springer:1 maximum:5 rev:13 results:4 bc:1 projected:1 four:1 scalar:1 commute:1 entropy:26 edu:2 consists:1 expressions:1 c1:2 whose:10 isometric:13 dimensionality:3 depend:1 superpositions:4 ohya:1 knill:4 concerned:2 equivalence:1 tr:56 send:4 b265:1 en...
quant-ph9809011.txt |@word represent:2 concerned:1 must:4 straightforward:1 very:1 connects:1 every:1 difference:2 condition:1 try:1 radio:1 concluded:1 dealing:2 consistent:1 direct:1 rate:3 perspective:1 cat:3 even:1 what:1 expressed:4 find:1 experiment:2 above:1 new:6 here:2 china:1 active:1 change:3 study:3 experie...
quant-ph9809012.txt |@word limited:4 partial:2 consider:4 sck:2 represent:1 φ1b:2 crucial:1 φ1a:2 results:2 rof:2 four:3 go:3 zˆb:1 misconception:1 issues:2 soc:1 devoted:1 inverse:5 depend:1 violate:3 re:2 irrelevant:2 equivalence:1 rf:2 uniqueness:18 does:6 indicate:2 those:6 excluded:2 under:13 analogous:1 presumed:...
quant-ph9809013.txt |@word 3n:1 extrapolated:1 partial:7 consider:4 limited:1 bellaterra:1 squared:1 keep:1 results:24 leads:2 selection:1 overlap:1 computation:1 consists:3 follow:1 expressions:1 contributions:2 fmrx:1 row:1 devoted:1 whose:1 certainly:1 careful:1 depend:2 calculate:1 lasers:1 departing:1 cm2:3 includ...
quant-ph9809014.txt |@word limited:1 externally:2 partial:1 consider:10 remarkable:1 similarity:2 gupta:1 rev:5 magnetic:2 varying:2 datum:1 results:11 dittrich:1 zoller:1 leads:1 pulsing:8 concerning:2 consists:1 follow:1 expressions:2 research:1 causes:1 forget:1 κx2:2 certainly:1 inverse:2 referring:7 centres:1 iii:...
quant-ph9809015.txt |@word limited:1 consider:2 results:2 roy:1 england:1 proposition:8 computation:3 consists:1 query:1 gr:1 whose:2 passage:4 program:1 th:1 case:6 predicate:8 string:1 every:3 arrange:1 quantumly:1 solution:1 t1:2 admissible:1 harry:1 mn:8 says:2 grateful:2 deutsch:2 zq:9 theory:2 aim:4 richard:1 seq...
quant-ph9809016.txt |@word magnetic:4 four:2 consists:4 relationships:1 whose:11 violate:5 swap:2 under:1 worth:2 digit:2 rise:1 differently:1 tantalizing:1 experimentally:1 vast:1 squares:1 suffices:3 conceive:1 solution:6 convenience:1 vector:25 indices:1 deutsch:4 consistent:1 estimates:1 direct:2 pulse:1 ǫn:3 appro...
quant-ph9809017.txt |@word imagining:2 called:2 helv:1 consider:1 mielnik:1 september:1 rev:4 suppose:1 leads:3 course:1 identify:2 inconsistent:5 existence:1 satisfies:1 kibble:1 trivial:4 its:1 write:1 certainly:1 derive:1 based:1 calculate:4 conclusions:1 greatly:1 had:1 written:1 tp:1 should:1 values:2 being:1 dete...
quant-ph9809018.txt |@word represent:1 consider:1 young:1 parametrizing:1 equalities:1 results:1 leads:1 eds:1 commute:1 fortiori:1 consists:1 excluded:1 reasoning:1 compact:1 hold:2 depend:4 ıv:4 equivalence:10 contained:1 finally:2 infinitesimally:1 th:1 under:3 xxiv:1 straightforward:1 orthogonal:2 very:1 rise:3 dif...
quant-ph9809019.txt |@word represent:1 partial:1 consider:2 illustrated:1 ge:1 montr:1 inverse:5 graph:3 concerned:1 finally:1 monotonically:2 present:4 under:1 nodes:2 jensen:2 very:1 wave:6 exact:7 convexity:1 hamiltonian:2 try:1 discrete:3 upper:3 approximation:11 zero:2 4x2:2 spectral:3 established:1 apparatus:1 se...
quant-ph9809020.txt |@word represent:1 consider:4 ali:1 rev:3 results:5 leads:1 eds:1 ga:2 consists:1 expressions:5 commentaries:1 devoted:4 kowalski:2 inverse:1 depend:2 tn:14 finally:7 spain:2 under:4 analogous:1 te:1 case:14 belonging:2 supported:1 straightforward:2 orthogonal:1 far:1 none:1 wave:3 corollary:2 every...
quant-ph9809021.txt |@word vila:2 consider:1 extensively:1 leads:2 quadrature:1 contributions:1 relationships:1 whose:2 inverse:2 aug:1 alamos:1 technique:1 quasi:1 spain:1 applied:1 amplitudes:1 wave:1 witten:2 socorro:1 nieto:1 hussin:1 hamiltonian:1 transmission:1 solution:15 dealt:1 subindex:1 deleting:1 sukhatme:3...
quant-ph9809022.txt |@word volta:1 measurements:1 partial:1 consider:2 helstrom:1 tamagawa:1 amplifier:1 results:2 entropy:17 grateful:1 research:2 row:1 certainly:1 amplification:2 calculate:1 z1t:2 environment:6 tk:11 under:1 analogous:1 tr2:1 case:4 far:1 conjectured:1 isomorphism:1 matrices:2 condition:2 impressive...
quant-ph9809023.txt |@word limited:2 entropy:45 consider:22 isometric:1 const:1 calculate:4 ohya:1 presents:1 under:15 conjecture:1 rise:1 every:7 convexity:1 look:1 school:1 achievability:1 suffices:1 solution:9 hr:4 vector:3 vincenzo:1 consistent:2 estimates:4 direct:8 approximation:1 second:8 rigorous:3 implemented:...
quant-ph9809024.txt |@word limited:2 since:2 discards:1 caused:3 particular:2 splitting:1 existing:1 avalanche:1 code:2 c2:1 consists:3 perturbations:1 research:1 correc:1 weakly:1 devoted:1 whose:3 amplification:11 disposal:1 deterministic:1 acting:1 send:2 created:1 supported:1 finally:1 prolonging:2 device:3 protoco...
quant-ph9809025.txt |@word limited:3 four:18 consists:2 localized:1 looking:2 calculate:7 paris:1 under:5 cm3:2 every:2 experimentally:1 disturb:1 publicly:2 ref:1 solution:2 shows:6 specially:2 direct:1 pulse:8 feasibility:2 second:6 implemented:1 even:9 nel:1 errors:1 trapping:1 nec:1 decoding:1 above:4 new:5 net:2 i...
quant-ph9809026.txt |@word represent:1 minors:5 consider:3 similarity:2 results:1 sitz:1 proposition:2 gl:1 tr:4 squeezing:2 aut:1 th:5 under:12 rham:1 worth:1 advantage:2 orthogonal:1 every:1 matrices:6 condition:4 preuss:1 level:1 knight:1 solution:1 standards:1 large:2 solved:1 vector:2 science:1 indices:1 eigenvalu...
quant-ph9809027.txt |@word secondly:1 magnetic:3 consists:1 whose:2 calculate:4 γr:1 list:1 under:11 γc:1 divergent:1 rise:3 every:5 identity:6 school:2 supports:1 solution:21 convenience:1 vector:6 indices:4 wronskian:5 consistent:1 invariably:1 estimates:10 ωab:6 second:16 estimated:2 berline:1 even:3 equivariance:1 ...
quant-ph9809028.txt |@word limited:5 externally:1 measurements:2 sci:1 represent:1 caused:1 garching:1 computation:4 follow:1 factorizing:1 devoted:2 whose:3 depend:1 alamos:1 technique:2 tr:19 young:1 factoring:1 tr1:5 tr2:5 applied:4 advantage:3 very:1 frequencies:1 conditions:1 electron:1 manipulated:1 experimentall...
quant-ph9809029.txt |@word consider:5 dynamic:1 results:1 leads:1 computation:1 edu:1 query:13 sin2θ:2 technique:2 finally:1 helps:1 th:9 under:1 norm:1 orthogonal:3 very:2 induce:1 print:2 difference:3 exact:1 notes:1 list:6 solution:1 fewer:1 item:6 vector:11 caltech:1 upper:6 focs:1 sign:1 zero:1 substituting:1 impl...
quant-ph9809030.txt |@word represent:2 footing:1 consider:3 suggests:1 alternatives:2 results:10 four:1 known:1 scalar:1 gb:1 ga:1 talks:1 follow:1 moon:1 localized:13 devoted:1 whose:2 repetition:2 const:1 calculate:1 yngvason:2 nonlocal:2 gromes:3 indicate:1 under:2 analogous:2 norm:2 case:4 straightforward:1 far:4 i...
quant-ph9809031.txt |@word gw:7 gv:16 sch:7 particular:1 results:4 leads:2 commute:1 expressions:2 gl:1 consider:4 increase:1 etching:1 tv:7 tw:9 answered:1 indicate:1 those:1 under:1 include:1 case:1 amplitudes:2 presently:1 g0:10 very:2 translations:1 induce:1 wave:6 figs:1 experimentally:1 matrices:1 impressive:1 ha...
quant-ph9809032.txt |@word consider:3 remarkable:2 magnetic:1 brownian:3 results:1 leads:6 eds:3 gc:1 invariably:1 go:2 gm:1 poorly:1 whose:1 supposedly:1 symposium:1 superspace:1 spin:1 characterises:2 stochastic:5 applied:1 g2:1 very:1 wave:1 electron:1 lecture:1 difference:1 entire:1 level:1 notes:2 large:6 coincide...
quant-ph9809033.txt |@word four:4 controversial:3 consists:1 poorly:1 relationships:3 whose:5 auc:2 presents:2 under:2 worth:1 alternating:1 void:14 connects:1 every:3 encounter:1 solution:2 vector:9 guiding:1 force:1 consistent:2 bubbling:1 direct:1 surrounding:2 second:5 rigorous:1 implemented:1 expressive:1 even:7 n...
quant-ph9809034.txt |@word consider:3 rev:17 separates:2 results:2 four:1 eds:1 consists:3 compact:3 repetition:1 finally:3 compensate:1 protocols:1 worth:1 norm:1 applied:2 advantage:3 outside:1 far:2 modes:1 electron:1 lecture:1 affect:1 particules:1 difference:6 splitter:5 swapping:6 modulator:2 transmission:1 notes...
quant-ph9809035.txt |@word magnetic:7 consists:2 whose:7 calculate:1 paris:1 under:2 γa:8 worth:1 every:5 figs:4 experimentally:2 34a:1 34b:1 34c:1 solution:1 vector:42 ueda:6 heidmann:2 force:3 direct:1 pulse:7 approximation:4 second:18 tangential:1 implemented:1 even:3 employ:1 errors:5 ˆu:1 ˆz:7 selected:1 ˆa:2 ˆf:1...
quant-ph9809036.txt |@word represent:1 concept:1 sci:1 consider:3 forbidden:1 varying:2 results:5 existing:1 four:3 go:1 follow:2 localized:2 whose:2 replacements:1 ields:1 calculate:2 graph:1 equivalence:1 environment:1 finally:2 those:4 whatsoever:1 stable:1 indicating:1 p2:1 outside:3 continues:2 wave:23 ankara:1 so...
quant-ph9809037.txt |@word ideality:2 code:12 schumaker:1 consider:6 represent:1 rev:8 varying:1 ptc:1 results:1 leads:1 computation:4 assessment:1 consists:1 causes:3 amplification:1 calculate:1 antinode:1 illustrates:1 γt:1 environment:2 finally:1 under:4 applied:1 amplitudes:3 straightforward:1 orthogonal:6 very:3 c...
quant-ph9809038.txt |@word represent:1 consider:2 caused:1 computation:24 consists:2 referring:1 factoring:1 tn:3 tj:16 ti:1 amplitudes:1 string:27 wave:1 every:2 affect:2 papadimitriou:1 continued:1 condition:3 school:1 positions:1 t2:2 solution:1 t1:2 discrete:1 vector:2 indices:1 configurations:6 concluded:2 mn:4 de...
quant-ph9809039.txt |@word limited:1 concept:3 sci:1 consider:3 penrose:1 particular:2 results:1 four:2 computation:2 edu:2 consists:4 whose:1 amplification:1 terms:1 calculate:1 alamos:3 participants:1 behave:4 restriction:2 protocols:2 under:4 p2:14 random:4 string:2 orthogonal:17 far:2 rise:2 p1:49 every:2 experimen...
quant-ph9809040.txt |@word consider:2 holthaus:1 magnetic:3 global:1 results:6 island:2 microwave:2 grateful:1 follow:1 issues:1 whose:1 depend:1 subjected:1 canonical:1 quasi:1 does:1 indicate:2 under:4 stochastic:3 presentation:1 indicating:1 case:9 conjecture:1 consequently:1 very:1 frequencies:1 rise:2 springer:2 w...
quant-ph9809041.txt |@word limited:1 consider:2 magnetic:1 particular:1 results:4 leads:1 follow:1 localized:1 particles:5 monotonically:1 preserved:2 norm:1 summarizes:1 rise:2 wave:48 bounding:1 deformations:1 illustrated:1 presented:3 did:1 solved:1 vector:1 optics:1 upper:1 penetrates:1 consistent:1 measurable:1 pu...
quant-ph9809043.txt |@word secondly:1 partial:1 consider:6 results:5 leads:1 ciudad:1 generalize:2 computation:4 consists:1 faster:1 fmrx:1 forget:1 increase:1 depend:1 knill:5 subjected:1 tr:13 misses:1 environment:4 finally:2 does:4 present:1 th:3 under:1 analogous:1 include:1 norm:8 case:17 worse:2 straightforward:1...
quant-ph9809044.txt |@word secondly:1 emch:1 consider:6 aids:1 magnetic:1 lack:2 amplifier:4 results:7 roy:1 computation:1 expressions:7 sch:1 whose:1 certainly:1 calculate:6 concerned:1 shanghai:3 james:1 finally:2 squeezing:11 those:3 th:1 include:1 pte:2 case:2 eigenstate:1 comm:1 thermalize:1 very:1 soni:1 rise:2 s...
quant-ph9809045.txt |@word transitions:1 systematic:1 magnetic:3 results:12 four:2 scalar:6 commute:2 edu:1 reson:1 sci:1 consider:1 whose:1 tr:1 corrections:1 αeff:9 finally:2 program:1 indicate:1 present:3 under:11 norm:5 case:22 methyl:1 advantage:2 zhang:1 very:1 frequencies:4 recursively:1 springer:1 induce:1 gene...
quant-ph9809046.txt |@word grobe:1 consider:3 rev:1 results:3 broader:1 consists:1 follow:1 localized:1 increase:1 depend:1 violate:1 tx:1 collisions:1 quasi:3 under:3 tf:1 analogous:2 amplitudes:2 impinges:1 far:4 continues:1 wave:64 electron:1 traced:1 resonant:1 experimentally:1 exact:1 condition:8 presented:1 trans...
quant-ph9809047.txt |@word represent:4 consider:5 similarity:1 rev:12 magnetic:29 global:2 alternatives:1 results:6 leads:2 shortcomings:1 scalar:3 commute:1 tricomi:1 rephrased:1 go:2 contributions:3 2r2:3 issues:1 soc:2 regularize:1 certainly:2 depend:2 calculate:1 iii:3 subjected:1 equivalence:8 seriously:1 company:...
quant-ph9809048.txt |@word limited:1 monte:1 concept:1 noncomputable:3 represent:1 leads:1 code:1 computation:5 consists:2 expressions:1 reasoning:1 excludes:2 depend:1 equivalence:1 send:1 present:1 under:2 analogous:1 performs:1 implicitly:1 choice:1 vegas:1 every:21 experimentally:1 difference:1 matrices:2 condition...
quant-ph9809049.txt |@word bkl:3 consider:3 bπ:1 caused:1 results:1 leads:8 banerji:1 follow:1 expressions:1 gk:21 eη:5 issues:1 whose:1 depend:3 calculate:1 re:7 groundstate:1 squeezing:1 under:1 analogous:3 kν:2 divergent:6 case:7 kπ:1 amplitudes:5 very:2 frequencies:2 wave:2 wavy:1 resonant:2 experimentally:1 nieto:...
quant-ph9809050.txt |@word ibid:6 gt:1 consider:2 magnetic:1 results:2 ξq2:9 entropy:6 computation:1 consists:1 osc:10 contributions:1 als:1 devoted:1 depend:1 calculate:2 producing:1 tr:1 uniqueness:1 squeezing:39 under:1 worth:1 evolves:1 very:2 wave:1 govern:2 experimentally:1 nieto:1 exact:1 condition:4 entire:1 ha...