Published February 3, 2006
| Version v1
Journal article
On the structure of the body of states with positive partial transpose
- 1. Universite Paris VI, Paris (France)
- 2. Case Western Reserve University, Cleveland, OH (United States)
- 3. Fysikum, Stockholm University, Stockholm (Sweden)
- 4. Center for Theoretical Physics, Polish Academy of Sciences, Warsaw (Poland)
- 5. Institute of Physics, Jagiellonian University, Cracow (Poland)
- 6. Perimeter Institute, Waterloo, Ontario (Canada)
Description
We show that the convex set of separable mixed states of the 2 x 2 system is a body of a constant height. This fact is used to prove that the probability of finding a random state to be separable equals twice the probability of finding a random boundary state to be separable, provided that the random states are generated uniformly with respect to the Hilbert-Schmidt (Euclidean) measure. An analogous property holds for the set of positive-partial-transpose states for an arbitrary bipartite system. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/L119/a6_5_l02.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/L119/a6_5_l02.pdf;
- DOI
- 10.1088/0305-4470/39/5/L02;
- PII
- S0305-4470(06)07452-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 5
- Journal Page Range
- p. L119-L126
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051446
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EUCLIDEAN SPACE; MEASURE THEORY; MIXED STATE; PROBABILITY; RANDOMNESS
- Descriptors DEC
- MATHEMATICAL SPACE; MATHEMATICS; RIEMANN SPACE; SPACE