Published March 6, 2009 | Version v1
Journal article

Bipartite states of low rank are almost surely entangled

  • 1. Department of Mathematics, Tufts University, Medford, MA 02155 (United States)
  • 2. Department of Mathematics, Case Western Reserve University Cleveland, OH 44106 (United States)

Description

We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled if its rank is not greater than that of one of its reduced density matrices

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/9/095303

Additional details

Identifiers

DOI
10.1088/1751-8113/42/9/095303;
PII
S1751-8113(09)01251-7;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
9
Journal Page Range
[15 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40077340
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; DENSITY MATRIX; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; TENSORS
Descriptors DEC
MATHEMATICS; MATRICES; MECHANICS