Quantum marginal problem and N-representability

被引:178
作者
Klyachko, Alexander A. [1 ]
机构
[1] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey
来源
12TH CENTRAL EUROPEAN WORKSHOP ON QUANTUM OPTICS | 2006年 / 36卷
关键词
D O I
10.1088/1742-6596/36/1/014
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A fermionic version of the quantum marginal problem was known from the early sixties as N-representability problem. In 1995 it was mentioned by the National Research Council of the USA as one of ten most prominent research challenges in quantum chemistry. In spite of this recognition the progress was very slow, until a couple of years ago the problem came into focus again, now in the framework of quantum information theory. In the paper I give a survey of the recent development.
引用
收藏
页码:72 / 86
页数:15
相关论文
共 28 条
[1]  
ALTUNBULAK M, 2006, QUANTPH06
[2]   Local systems on P1-S for S a finite set [J].
Belkale, P .
COMPOSITIO MATHEMATICA, 2001, 129 (01) :67-86
[3]  
Bernstein I. N., 1973, USP MAT NAUK, V28, P3
[4]   CONDITIONS ON ONE-MATRIX FOR 3-BODY FERMION WAVEFUNCTIONS WITH ONE-RANK EQUAL TO 6 [J].
BORLAND, RE ;
DENNIS, K .
JOURNAL OF PHYSICS PART B ATOMIC AND MOLECULAR PHYSICS, 1972, 5 (01) :7-&
[5]  
Bravyi S, 2004, QUANTUM INF COMPUT, V4, P12
[6]  
CHRISTANDL M, 2004, QUANTPH0409016
[7]  
CHRISTANDL M, 2005, QUANTPH0511029
[8]   PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES [J].
CLAUSER, JF ;
HORNE, MA ;
SHIMONY, A ;
HOLT, RA .
PHYSICAL REVIEW LETTERS, 1969, 23 (15) :880-&
[9]  
Coleman A. J., 2000, Reduced Density Matrices: Coulson's Challenge
[10]   Reduced density matrices - Then and now [J].
Coleman, AJ .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2001, 85 (4-5) :196-203