Published July 2010 | Version v1
Journal article

Evaluation of two different entanglement measures on a bound entangled state

  • 1. Centre for Quantum Computer Technology, School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD 4072 (Australia)
  • 2. NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597 (Singapore)
  • 3. Centre for Quantum Technologies, National University of Singapore, Singapore 117543 (Singapore)
  • 4. Department of Physics, National University of Singapore, Singapore 117542 (Singapore)

Description

We consider the mixed three-qubit bound entangled state defined as the normalized projector on the subspace that is complementary to an unextendible product basis [C. H. Bennett et al., Phys. Rev. Lett. 82, 5385 (1999)]. Using the fact that no product state lies in the support of that state, we compute its entanglement by providing a basis of its subspace formed by ''minimally entangled'' states. The approach is in principle applicable to any entanglement measure; here we provide explicit values for both the geometric measure of entanglement and a generalized concurrence.

Additional details

Publishing Information

Journal Title
Physical Review. A
Journal Volume
82
Journal Issue
1
Journal Page Range
p. 012327-012327.6
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42036171
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EVALUATION; GEOMETRY; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM STATES
Descriptors DEC
MATHEMATICS; MECHANICS

Optional Information

Notes
(c) 2010 The American Physical Society