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quant-ph0703054.txt |@word concept:1 schumaker:2 consider:3 rev:24 brownian:2 results:5 leads:1 jawaharlal:2 quadrature:2 entropy:9 computation:2 c2:2 follow:1 expressions:1 gk:8 c1:2 causes:2 looking:2 eigenbasis:4 tr:5 braginsky:2 environment:26 company:1 quasi:1 squeezing:36 preserved:2 under:11 stochastic:3 ρsm:1 case:40 random:4 advantage:1 zhang:2 very:3 ρth:4 wave:2 figs:5 chuang:1 experimentally:1 difference:4 exact:1 condition:3 entire:1 school:2 systemenvironment:3 unlike:1 level:20 zubairy:1 differentiating:1 solution:2 large:4 vector:1 small:3 eigenvalues:2 markov:2 trr:6 optics:2 equation:43 related:3 upper:1 iht:1 privman:1 sin2:1 cosh:21 matrices:2 zero:26 dynamics:36 canonical:1 spectral:3 stands:1 apparatus:1 giving:2 section:17 interactions:1 while:10 agrees:1 ρr:8 nonstationarity:1 above:10 new:1 acknowledgments:1 contrast:5 coefficient:2 evolving:1 full:1 whose:1 respectively:9 modify:1 here:18 understanding:2 sandberg:1 iσy:2 2m:1 b2k:1 cos2:1 sinh:27 others:1 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quant-ph0703082.txt |@word represent:2 gu:5 consider:3 springer:3 particular:6 results:7 computation:8 edu:1 consists:1 follow:1 research:1 compact:14 whose:4 certainly:1 depend:1 tx:4 reformulate:1 segments:4 technique:2 finally:2 alvarez:1 those:2 th:2 under:4 analogous:1 norm:5 applied:4 g2:5 very:5 account:2 unitaries:1 corollary:7 every:2 entries:1 exact:6 condition:2 riemann:1 hamiltonian:11 did:1 michael:1 joined:1 t0:9 t1:6 large:1 discrete:3 vector:3 small:1 chuang:1 markov:1 deleting:1 upper:11 neighborhood:2 approximation:2 second:2 cost:3 chem:1 even:1 aim:2 what:1 xor:1 section:4 find:1 anywhere:1 3n:2 3m:2 sup:8 equivalent:1 stabilizer:2 body:1 full:1 notions:2 component:1 shankar:1 here:7 understanding:1 desired:2 tangent:14 groups:1 berkeley:1 directions:2 path:13 along:2 respect:2 change:1 obtained:2 search:1 elaborate:2 commonly:1 p2:1 usually:2 implement:4 suitable:1 quotient:2 appropriately:1 penalizes:2 equivalence:10 useful:3 family:1 elaborated:1 tensored:1 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