Published November 2010
| Version v1
Journal article
Numerical estimation of the relative entropy of entanglement
- 1. Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta T2N 1N4 (Canada)
- 2. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois 60607-7045 (United States)
- 3. Institute for Quantum Information Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta T2N 1N4 (Canada)
Description
We propose a practical algorithm for the calculation of the relative entropy of entanglement (REE), defined as the minimum relative entropy between a state and the set of states with positive partial transpose. Our algorithm is based on a practical semidefinite cutting plane approach. In low dimensions the implementation of the algorithm in matlab provides an estimation for the REE with an absolute error smaller than 10-3.
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 82
- Journal Issue
- 5
- Journal Page Range
- p. 052336-052336.7
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 43008452
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; ALGORITHMS; ENTROPY; NUMERICAL SOLUTION; QUANTUM ENTANGLEMENT
- Descriptors DEC
- MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES
Optional Information
- Notes
- (c) 2010 The American Physical Society