Published October 19, 2012 | Version v1
Journal article Metadata-only

Entanglement witnesses arising from Choi type positive linear maps

Creators

  • 1. Faculty of Mathematics and Applied Statistics, Sejong University, Seoul 143-747 (Korea, Republic of)
  • 2. Department of Mathematics and Institute of Mathematics, Seoul National University, Seoul 151-742 (Korea, Republic of)

Description

We construct optimal PPTES witnesses to detect 3⊗3 PPT entangled edge states of type (6, 8) constructed recently by Kye and Osaka (2012 J. Math. Phys. 53 052201). To do this, we consider positive linear maps which are variants of the Choi type map involving complex numbers, and examine several notions related to the optimality of those entanglement witnesses. Throughout the discussion, we suggest a method to check the optimality of entanglement witnesses without the spanning property. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/45/41/415305

Additional details

Identifiers

DOI
10.1088/1751-8113/45/41/415305;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
45
Journal Issue
41
Journal Page Range
[17 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44046971
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPLEX MANIFOLDS; LINEAR RATEMETERS; QUANTUM ENTANGLEMENT; SIMULATION
Descriptors DEC
COUNTING RATEMETERS; ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICAL MANIFOLDS