A COMPLETE CLASSIFICATION OF QUANTUM ENSEMBLES HAVING A GIVEN DENSITY-MATRIX

被引:475
作者
HUGHSTON, LP
JOZSA, R
WOOTTERS, WK
机构
[1] UNIV MONTREAL,DEPT IRO,MONTREAL H3C 3J7,QUEBEC,CANADA
[2] WILLIAMS COLL,DEPT PHYS,WILLIAMSTOWN,MA 01267
关键词
D O I
10.1016/0375-9601(93)90880-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A complete constructive classification is given for all discrete ensembles of pure quantum states having a given density matrix. As a special case this provides a classification of positive operator valued measures with finitely many components. We also show that any chosen ensemble consistent with a fixed density matrix rho can be created at space-like separation using an entangled state depending only on rho.
引用
收藏
页码:14 / 18
页数:5
相关论文
共 11 条
[1]  
CAVES CM, COMMUNICATION
[2]   INFORMATION AND QUANTUM MEASUREMENT [J].
DAVIES, EB .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1978, 24 (05) :596-599
[3]  
DESPAGNAT B, 1989, CONCEPTUAL F QUANTUM
[4]  
GISIN N, 1989, HELV PHYS ACTA, V62, P363
[5]  
Helstrom C. W., 1976, QUANTUM DETECTION ES, P74
[6]  
JOZSA R, UNPUB PHYS REV A
[7]   NEUMARK THEOREM AND QUANTUM INSEPARABILITY [J].
PERES, A .
FOUNDATIONS OF PHYSICS, 1990, 20 (12) :1441-1453
[8]  
PERES A, 1993, QUANTUM THEORY CONCE, pCH9
[9]  
SCHMIDT E, 1906, MATH ANN, V63, P433
[10]  
SCHUMACHER B, 1990, COMPLEXITY ENTROPY P