Distinguishability of complete and unextendible product bases

被引:91
作者
De Rinaldis, S
机构
[1] Univ Toronto, Dept Chem, Chem Phys Theory Grp, Toronto, ON M5S 3H6, Canada
[2] IBM Corp, Thomas J Watson Res Ctr, Quantum Informat Grp, Yorktown Hts, NY 10598 USA
来源
PHYSICAL REVIEW A | 2004年 / 70卷 / 02期
关键词
D O I
10.1103/PhysRevA.70.022309
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is not always possible to distinguish multipartite orthogonal states if only local operations and classical communication (LOCC) are allowed. We prove that we cannot distinguish the states of an unextendible product basis by LOCC even with infinite resources (infinite-dimensional ancillas, infinite number of operations). Moreover we give a necessary and sufficient condition for the LOCC distinguishability of a complete product basis.
引用
收藏
页码:022309 / 1
页数:5
相关论文
共 14 条
[1]   HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100 [J].
AHARONOV, Y ;
ALBERT, DZ ;
VAIDMAN, L .
PHYSICAL REVIEW LETTERS, 1988, 60 (14) :1351-1354
[2]   Unextendible product bases and bound entanglement [J].
Bennett, CH ;
DiVincenzo, DP ;
Mor, T ;
Shor, PW ;
Smolin, JA ;
Terhal, BM .
PHYSICAL REVIEW LETTERS, 1999, 82 (26) :5385-5388
[3]   Quantum nonlocality without entanglement [J].
Bennett, CH ;
DiVincenzo, DP ;
Fuchs, CA ;
Mor, T ;
Rains, E ;
Shor, PW ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW A, 1999, 59 (02) :1070-1091
[4]  
CHEFLES A, QUANTPH0302066
[5]   Unextendible product bases, uncompletable product bases and bound entanglement [J].
DiVincenzo, DP ;
Mor, T ;
Shor, PW ;
Smolin, JA ;
Terhal, BM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 238 (03) :379-410
[6]   Distinguishability of Bell states [J].
Ghosh, S ;
Kar, G ;
Roy, A ;
Sende, A ;
Sen, U .
PHYSICAL REVIEW LETTERS, 2001, 87 (27) :277902-277902
[7]  
GROISMAN B, QUANTPH0103084
[8]   Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature? [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5239-5242
[9]   Local indistinguishability: More nonlocality with less entanglement [J].
Horodecki, M ;
SenDe, A ;
Sen, U ;
Horodecki, K .
PHYSICAL REVIEW LETTERS, 2003, 90 (04) :4-479024
[10]   KELLER CUBE-TILING CONJECTURE IS FALSE IN HIGH DIMENSIONS [J].
LAGARIAS, JC ;
SHOR, PW .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (02) :279-283