HOW TO DETECT ENTANGLEMENT IN QUANTUM SYSTEMS

被引:0
作者
Michalskii, Milosz [1 ]
机构
[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
来源
QUANTUM BIO-INFORMATICS III: FROM QUANTUM INFORMATION TO BIO-INFORMATICS | 2010年 / 26卷
关键词
Entanglement; positive maps; entanglement witnesses; MECHANICAL DESCRIPTION; PROBABILITY RELATIONS; PHYSICAL REALITY; STATES; SEPARABILITY; MAPS;
D O I
10.1142/9789814304061_0020
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
The present paper is a brief, elementary introduction to the theory of entangled states in quantum systems, based on the lecture given by the author at the Suwa Satellite Conference of QBIC09, held at Tokyo University of Science in Suwa, March 6-8, 2009. We focus here on the mathematical problem of entanglement detection. The duality between positive maps and entanglement witnesses is emphasized. One particular class of experimentally relevant entanglement witnesses and the method of their construction is further discussed in another paper appearing in this volume.(1) An interested reader may find much more information about recent developments in the entanglement theory and applications in a review paper [2].
引用
收藏
页码:231 / 250
页数:20
相关论文
共 37 条
[1]  
[Anonymous], 2013, Mathematische grundlagen der quantenmechanik
[2]   Entanglement, quantum entropy and mutual information [J].
Belavkin, VP ;
Ohya, M .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2017) :209-231
[3]  
Bengtsson I., 2017, GEOMETRY QUANTUM STA, DOI DOI 10.1017/9781139207010
[4]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[5]   Can quantum-mechanical description of physical reality be considered complete? [J].
Bohr, N .
PHYSICAL REVIEW, 1935, 48 (08) :696-702
[6]  
BRUKNER C, 2004, ARXIVQUANTPH0406040V
[7]   On the structure of entanglement witnesses and new class of positive indecomposable maps [J].
Chruscinski, Dariusz ;
Kossakowski, Andrzej .
OPEN SYSTEMS & INFORMATION DYNAMICS, 2007, 14 (03) :275-294
[8]   How to construct indecomposable entanglement witnesses [J].
Chruscinski, Dariusz ;
Kossakowski, Andrzej .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (14)
[9]   Multipartite Circulant States with Positive Partial Transposes [J].
Chruscinski, Dariusz ;
Kossakowski, Andrzej .
OPEN SYSTEMS & INFORMATION DYNAMICS, 2008, 15 (03) :189-212
[10]   Can quantum-mechanical description of physical reality be considered complete? [J].
Einstein, A ;
Podolsky, B ;
Rosen, N .
PHYSICAL REVIEW, 1935, 47 (10) :0777-0780