The parts determine the whole in a generic pure quantum state

被引:67
作者
Linden, N
Wootters, WK
机构
[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
[2] Williams Coll, Dept Phys, Williamstown, MA 01267 USA
关键词
D O I
10.1103/PhysRevLett.89.277906
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that almost every pure state of multiparty quantum systems (each of whose local Hilbert space has the same dimension) is completely determined by the state's reduced density matrices of a fraction of the parties; this fraction is less than about two-thirds of the parties for states of large numbers of parties. In other words, once the reduced states of this fraction of the parties have been specified, there is no further freedom in the state.
引用
收藏
页码:277906 / 277906
页数:4
相关论文
共 13 条
[1]  
ACIN A, QUANTPH0202056
[2]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[3]  
BENNETT CH, 2001, PHYS REV A, V63
[4]  
Coleman A. J., 2000, Reduced Density Matrices: Coulson's Challenge
[5]   APPROXIMATING Q-ORDER REDUCED DENSITY-MATRICES IN TERMS OF THE LOWER-ORDER ONES .2. APPLICATIONS [J].
COLMENERO, F ;
VALDEMORO, C .
PHYSICAL REVIEW A, 1993, 47 (02) :979-985
[6]   APPROXIMATING Q-ORDER REDUCED DENSITY-MATRICES IN TERMS OF THE LOWER-ORDER ONES .1. GENERAL RELATIONS [J].
COLMENERO, F ;
DELVALLE, CP ;
VALDEMORO, C .
PHYSICAL REVIEW A, 1993, 47 (02) :971-978
[7]   Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices [J].
Linden, N ;
Popescu, S ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 2002, 89 (20) :207901-207901
[8]  
Linden N., QUANTPH9912039
[9]   Pursuit of N-representability for the contracted Schrodinger equation through density-matrix reconstruction [J].
Mazziotti, DA .
PHYSICAL REVIEW A, 1999, 60 (05) :3618-3626
[10]   Contracted Schrodinger equation: Determining quantum energies and two-particle density matrices without wave functions [J].
Mazziotti, DA .
PHYSICAL REVIEW A, 1998, 57 (06) :4219-4234