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quant-ph9702037.txt \|@word consider:3 four:11 concerned:2 young:1 send:5 sent:5 rise:1 exception:1 choice:1 selleri:1 telling:1 ref:1 proposals:1 eve:12 a128:1 convenience:1 a123:1 commented:1 prediction:1 rate:7 what:3 errors:1 experiment:1 above:4 new:2 public:1 revealing:1 chose:1 respectively:3 error:3 here:1 asymmetry:1 directions:2 ratio:5 along:2 sending:1 institute:1 trial:1 bob:17 apr:1 plenum:1 prove:4 positive:1 negative:1 a54:1 encode:1 until:1 more:2 separated:1 knows:1 successful:1 operators:1 detects:2 must:2 science:1 setup:1 work:2 eavesdropper:2 concepts:1 following:3 example:3 give:2 bennett:3 implementations:1 states:33 mixture:2 numbers:1 information:1 carriers:2 rather:1 instead:1 brassard:2 yeong:1 superluminal:3 may:5 kaist:1 applications:1 tries:1 produce:1 data:1 sz:1 ones:4 so:1 correlation:1 subsequently:1 sigact:1 helv:1 inconclusive:5 course:1 eavesdropping:15 existence:1 ieee:2 perfect:1 chosen:1 detected:2 systems:1 mail:2 them:2 nonorthogonal:15 introduce:1 they:2 optimal:2 now:3 discuss:2 developments:1 eigenvalue:1 hereafter:2 university:1 gautier:1 each:3 entirely:1 realism:1 significantly:1 ed:1 expect:1 measurement:18 quantum:29 publically:1 shown:2 space:1 furthermore:1 since:5 rev:7 particles:2 method:2 performs:4 conjectured:1 cause:1 theory:1 york:2 detecting:4 muller:1 pairs:1 could:1 computers:1 times:2 thing:1 first:2 probability:4 number:2 huttner:4 instances:4 koh:1 given:3 checked:1 their:1 needed:2 too:1 scheme:1 bits:3 eavesdrop:1 gyu:1 taejon:1 than:4 albeit:1 kind:2 perfectly:1 showed:1 wiesner:1 summary:1 likely:1 subsequence:1 outcome:6 treated:1 randomly:2 say:1 need:2 null:5 demonstration:1 any:1 built:1 mermin:1 elaborations:1 able:1 note:1 absorbed:3 channel:1 ivanovic:1 measures:2 singlet:1 most:1 said:2 measured:3 considered:2 adopt:1 detectors:1 kr:2 principle:1 physics:3 fact:3 laws:2 show:1 random:3 based:2 should:4 failed:1 only:4 ardehali:1 local:1 do:1 his:1 cryptography:13 get:2 cannot:2 words:1 symmetrically:1 podolsky:2 arxiv:1 consisting:1 nη:1 set:1 detection:1 result:10 discussions:1 detect:3 sites:1 state:9 won:1 between:3 subscript:1 korea:3 recently:1 nature:1 jauch:1 however:4 efficiency:6 key:4 distinguish:6 come:1 kluwer:1 many:1 uncertainty:1 according:1 connection:3 argue:1 hwang:2 experimental:1 simple:3 had:3 safer:1 considering:1 applies:2 described:2 due:1 been:4 strategy:11 combined:1 expected:1 ph:1 wants:1 direction:4 describe:1 corresponding:1 wheeler:1 spin:3 case:14 intriguing:1 pacs:1 remaining:2 will:1 suppose:2 intercepts:1 procedure:1 played:1 thus:6 site:10 equal:2 conf:1 technology:1 binary:1 different:1 perform:1 same:3 tells:1 imoto:1 quant:1 mixtures:2 several:2 higher:2 used:3 hand:1 paradox:1 implement:1 recent:2 relies:1 epr:2 without:1 proposed:2 less:1 being:2 rosen:2 obtain:1 integer:1 previous:1 han:1 density:1 absorption:1 guaranteed:1 signals:3 source:1 lett:6 eigenstate:1 identical:1 checking:6 mor:1 possible:4 department:2 increases:1 know:7 using:3 bit:2 advanced:1 particle:5 follows:1 signal:11 performing:1 alice:14 either:1 arbitrary:2 security:2 essential:3 because:4 methods:1 sequence:3 sends:3 successfully:1 some:4 supplementary:1 escape:1 indistinguishability:1 does:4 unavoidably:1 proc:1 core:1 processing:1 although:1 bangalore:1 exciting:1 bz:1 about:3 instantaneously:1 certainty:6 discussed:1 discard:3 h2:1 communication:4 into:1 obtaining:1 bound:1 references:1 einstein:3 proportional:1 unambiguous:14 there:5 was:3 form:1 piron:1 regard:1 delayed:1 encoded:1 he:1 whether:1 up:1 theoretical:1 dordrecht:1 distribution:2 similar:1 gisin:2 mechanics:3 ac:2 proved:1 int:1 certain:3 abstract:1 contribute:1 denote:3 peres:3 chap:1 distributions:1 check:3 again:1 sˆz:4 sˆx:4 no:5 ekert:4 sˆu:8 when:4 other:3 role:1 test:3 briefly:1 intend:1 models:1 important:1 palma:1 conclusive:5 cryptographic:2 zbinden:1 independently:1 correlated:1 impossibility:2

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quant-ph9702039.txt \|@word consider:1 chain:3 four:4 computation:3 u3:4 terms:3 remarkable:1 alamos:1 charge:2 present:1 under:2 advantage:2 sitting:1 far:1 h123:5 electron:1 worst:1 negations:1 stays:1 exact:1 condition:3 arrange:1 leads:2 encodes:2 solves:1 hamiltonian:3 transmission:5 proposals:1 solution:8 large:2 solved:2 adjust:2 small:1 degeneracy:6 upper:1 direct:1 fold:1 slowed:1 resultant:1 quebec:2 further:1 dynamics:2 implemented:1 machines:1 scientific:1 even:1 what:1 advantageous:1 fact:3 remain:1 cell:1 above:1 lifshitz:1 obvious:1 3a:2 consisting:5 body:14 respectively:2 component:2 here:1 atoms:4 desired:5 possibility:1 relaxation:1 directions:2 path:1 along:2 strong:1 equations:1 appears:1 search:8 stark:2 involved:1 larger:1 permutation:2 usually:1 implement:2 suitable:1 studies:1 montreal:1 adjustable:2 useful:1 logical:2 brought:3 boolean:11 total:1 unit:3 dna:2 working:5 remains:1 lying:1 contains:1 inverters:4 encode:4 tell:1 today:2 more:3 said:1 relax:1 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quant-ph9702041.txt \|@word magnetically:1 edc:2 barone:1 magnetic:4 fabricated:1 edl:1 computation:4 technique:1 under:2 analogous:2 applied:1 advantage:1 very:2 fan:2 orientations:1 oudenaarden:1 condition:3 ref:1 convenience:1 adjust:1 small:1 degeneracy:3 smaller:1 design:1 quebec:2 further:2 implemented:4 established:2 nonlinear:1 clock:1 nand:5 cell:6 above:1 new:1 contributes:1 consisting:1 satisfy:5 respectively:4 l1:2 here:1 desired:3 directions:1 consideration:1 search:1 detune:2 amount:1 published:2 implement:2 suitable:2 makes:1 montreal:1 brought:1 boolean:3 total:5 unit:2 coupled:1 few:1 therefore:1 taken:1 today:1 more:1 separated:1 account:1 values:2 pedagogy:2 example:1 figure:1 states:5 numbers:1 degenerate:3 sense:2 narrowly:1 afm:2 needs:1 end:2 thing:1 holds:1 machine:2 how:2 gate:5 inputs:2 information:4 may:2 wiley:1 applications:1 lifting:2 realized:1 natural:1 johnson:1 lines:1 so:3 mcgill:4 keeps:1 order:2 operations:1 interpreted:2 through:2 captions:1 interesting:2 solving:1 actually:2 fig:13 mail:2 conveying:1 greater:3 mention:1 effects:1 they:1 realize:4 nor:5 easily:1 always:3 university:2 arrows:1 2e:1 l2:2 l3:2 electrically:1 promise:1 energetically:1 energy:7 hard:1 idea:1 used:3 wires:3 static:18 quantum:18 inverter:3 operation:1 special:2 out:5 canada:2 shown:3 accomplish:2 network:1 decision:1 rev:3 sand:3 increase:1 combinatorial:1 hill:1 issue:1 shows:2 telecommunication:1 interactions:4 effect:1 york:1 geometry:1 isr:3 computers:1 xue:3 circuit:1 striking:1 clause:1 variables:2 xin:1 another:2 carry:1 ring:12 fluxes:2 given:1 perturbation:1 heads:2 similarly:1 interact:1 system:7 construct:3 indicate:1 convention:1 store:2 gives:1 interests:1 trapped:1 exactly:2 simulate:1 representing:1 than:5 ste:1 holland:1 double:5 san:1 mind:1 manner:1 elsevier:1 turner:1 demonstration:1 any:1 symmetrized:1 convenient:1 isolated:2 sciences:1 analogy:1 objective:1 awaits:1 opposite:2 reach:1 connected:1 jul:1 letter:5 evaluator:1 later:2 physics:3 fact:1 please:1 carefully:1 ground:2 current:2 parameters:2 implementation:1 enough:1 should:7 only:4 means:2 de:1 bear:1 applying:1 resource:1 fields:2 arxiv:1 tuned:1 threading:8 architecture:1 body:2 art:1 j1:4 j2:4 see:2 computer:5 close:2 subject:1 wire:2 interacting:2 lots:1 rings:10 state:5 between:2 approach:1 discovery:1 notice:2 recently:1 nature:1 however:1 implementing:1 both:2 many:2 according:2 quantization:2 logic:28 whole:3 experimental:1 among:1 ca:2 simply:3 due:2 been:2 basic:1 ph:1 universal:1 systems:1 dots:1 direction:1 relations:2 corresponding:1 external:2 inductance:1 spin:3 present:1 p2:8 p1:9 look:1 josephson:1 value:3 will:2 near:1 behavior:1 guide:1 h3a:1 symmetrization:1 almost:1 thus:1 canceled:1 superconducting:7 bias:6 ib:3 technology:4 binary:4 make:1 same:3 2t8:1 quant:1 split:1 widely:1 dhw:1 several:1 extended:2 i1:7 i2:7 functions:1 hand:1 uses:1 purpose:2 conveniently:1 recent:1 lower:3 off:1 well:4 obviously:1 solve:1 drawing:1 gates:5 proposed:2 less:2 being:1 when:8 actions:1 using:6 macroscopic:1 wei:3 advancement:1 macdonald:1 lett:3 input:8 supercurrent:7 possible:2 immediately:1 nanotechnology:1 depicts:1 like:1 3sat:1 manifest:1 flux:12 output:8 inter:1 essential:1 spins:1 because:1 phenomena:1 back:1 understood:1 francisco:1 convey:1 specified:1 intractability:1 literals:1 lead:1 avoid:1 does:1 connecting:1 compute:1 anne:1 o2:12 o1:13 scientific:1 each:3 paterno:1 although:2 mcgraw:1 simpler:1 works:1 practical:1 carries:2 carrier:2 consequently:1 conserving:1 into:1 within:1 three:2 right:1 references:2 elementary:1 van:2 area:1 there:4 long:1 appl:2 quanta:1 way:2 lowest:1 head:1 north:1 isrs:3 but:5 principles:1 properly:2 hc:1 rouse:1 made:1 wise:1 garey:1 circuits:1 antiferromagnetic:1 cells:3 devices:4 placed:1 freeman:1 sands:1 problem:1 called:3 strongly:1 promises:1 abstract:1 general:1 circulating:1 campus:1 physical:1 mutual:1 ends:1 tailoring:2 generally:1 field:8 other:4 ellen:1 department:2 conclusion:1 elements:1 bellevue:1 calculating:1 problems:1 develops:1 ising:4 lent:2 superconductive:8 tailored:2 coupling:3 practically:1 assume:1 persistent:1 time:1 far:1 starting:1 having:1

quant-ph9702042.txt \|@word limited:2 customary:1 consider:14 ali:1 rev:3 global:1 results:6 leads:5 eds:1 contributions:1 reasoning:1 regularize:2 preserves:2 c0:5 advantage:1 charge:5 aut:1 under:14 worth:1 indicating:3 case:9 unrenormalized:2 straightforward:2 returning:1 very:1 rise:1 translations:1 conditions:1 geometrical:1 normalizability:1 probability:1 ultraviolet:1 summarized:1 affect:1 emphasized:1 exact:7 condition:12 level:14 ref:2 solution:12 leave:1 vector:2 cϕ:1 indices:1 equation:10 solutions:6 concluded:2 renormalized:2 consistent:3 10a:1 approximation:1 zero:5 evaluated:1 further:3 dynamics:3 implemented:1 linear:1 refereed:1 established:1 what:2 appear:1 d2:8 section:10 expressed:1 consistently:1 version:1 d0:4 fractional:1 3b:6 3a:10 method:4 exercise:1 coefficient:2 agreement:2 full:2 κk:1 ρv:2 κa:4 understanding:2 behaviour:1 reported:3 simon:1 possibility:3 address:1 ignore:1 strong:2 equations:1 appears:1 change:3 obtained:13 instituto:2 incoming:2 wesley:1 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quant-ph9702057.txt \|@word λs:1 represent:1 λq:19 s2:1 cellular:3 show:3 over:3 charles:1 results:1 lanl:2 umesh:1 relation:1 edu:1 ieee:1 consider:1 note:2 instance:1 equivalence:1 extraneous:1 other:1 believing:1 ethan:1 easy:1 annual:1 constant:1 bernstein:2 solvable:2 merely:2 do:1 them:1 amplitudes:3 satisfiability:3 notation:3 means:2 fas:1 showing:1 express:2 february:1 act:1 cannot:2 they:1 symposium:2 integer:4 now:1 contextual:1 closure:1 represents:1 term:7 rewriting:1 follows:2 university:1 arxiv:1 translates:1 ai:4 steps:5 each:5 references:1 fixed:1 inspection:1 configurations:3 calculus:15 25th:1 because:2 therefore:1 dimensional:1 sign:1 translating:4 checks:1 justification:1 however:1 quantum:11 operation:2 qtm:8 machines:3 theory:2 complexity:1 shown:1 matrix:6 performs:1 familiarity:1 denotes:2 cell:1 everything:1 state:3 abs:2 above:3 get:1 gov:2 email:1 available:2 full:1 terms:3 belief:1 equivalent:4 arbitrary:1 mechanisms:2 use:1 here:1 bi:4 vazirani:2 step:3 harvard:2 removing:1 online:2 although:1 address:1 described:2 philip:2 configuration:2 injective:3 recall:1 both:1 essentially:1 transition:3 equal:2 acm:1 simulation:1 gilles:1 distinct:1 permutation:1 automaton:1 whole:1 create:1 lambda:6 acceptance:2 conclude:1 noting:1 into:10 within:2 science:1 watrous:1 down:1 randomized:1 appropriate:2 multiplying:2 done:1 pp:2 determine:1 church:2 polynomial:2 apply:1 bλ:2 given:2 feb:1 superpositions:2 introduction:1 positive:2 strictly:2 there:3 negative:1 been:1 parallel:1 comparing:1 automata:2 doubt:2 call:2 1d:12 ph:5 translate:3 denominators:3 function:1 bennett:1 complete:4 integers:2 initial:1 xxx:2 denoting:1 but:2 36th:1 simulate:8 particular:1 foundations:1 than:3 weaknesses:1 count:3 john:1 applying:2 local:1 mi:11 say:1 mj:2 will:3 considered:1 while:1 computer:1 following:2 alternate:1 similar:1 exhibit:1 computers:3 proved:1 computing:2 defined:3 abstract:1 reduction:1 thus:3 general:1 states:6 single:1 itself:1 numbers:2 need:2 return:1 times:2 contents:1 greater:2 ni:7 containing:1 compared:1 author:1 perform:1 things:1 latter:1 returning:1 proceedings:2 same:2 write:2 how:1 complex:1 quant:5 take:1 papers:1 np:3 algorithms:1 widespread:2 strengths:1 brassard:1 conclusion:1 rationals:1 numerals:3 product:3 nii:1 http:2 superposition:10 information:1 may:1 turing:3 after:2 problems:3 mapping:2 possible:1 extending:1 representation:1 data:1 class:1 structure:1 efficiently:13 off:1 takes:1 partitioned:1 assume:2 onedimensional:1 syntactic:1 stronger:2 element:1 mimic:1 stripping:1 solve:3 simulated:1 returns:1 model:1 requires:1 s1:1

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quant-ph9702059.txt \|@word slope:5 monte:1 unavoidable:1 consider:8 gq:8 gp:2 roc:1 results:13 illustrated:1 eds:2 commute:2 houches:1 follow:4 expressions:2 faster:1 contributions:2 localized:3 devoted:2 looking:2 c0:4 terms:8 calculate:3 γp:4 corrections:2 including:1 γt:2 presents:2 glaser:1 device:1 present:8 jortner:1 analogous:1 include:1 alber:1 adiabatic:2 amplitudes:1 straightforward:1 g0:9 rise:2 differently:1 distort:1 wave:20 sons:1 every:1 summarized:1 affect:1 bottleneck:1 continued:4 condition:3 disconnected:1 riemann:2 hamiltonian:7 ref:4 solution:9 correct:3 try:1 discrete:3 quasibound:1 progress:2 small:6 optics:1 noted:1 upper:3 renormalized:2 consistent:1 b22:1 unable:1 sign:3 past:1 second:6 dissipation:4 value:11 rigorous:1 dynamics:2 carlo:1 leakage:1 spreading:1 even:3 abc:2 appear:4 rate:4 partition:1 section:3 selected:1 brief:1 xoy:1 noyes:1 poles:10 above:9 boundary:1 values:4 fall:1 contributes:2 method:1 contrast:1 satisfy:2 outgoing:4 lee:3 light:1 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