Published December 2009
| Version v1
Journal article
The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
- 1. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579 (Japan)
- 2. LTCI CNRS, TELECOM ParisTech, 37/39 rue Dareau, 75014 Paris (France)
- 3. Institute for Nano Quantum Information Electronics, University of Tokyo, Tokyo 113-0033 (Japan)
- 4. Department of Physics, Graduate School of Science, University of Tokyo, Tokyo 113-0033 (Japan)
- 5. Optics Section, Blackett Laboratory and Institute for Mathematical Sciences, Imperial College, London SW7 2AZ (United Kingdom)
- 6. Department Physics, SUPA, University of Strathclyde, Glasgow G4 0NG (United Kingdom)
Description
In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: ''for a symmetric pure state, the closest product state in terms of the fidelity can be chosen as a symmetric product state.'' We show that this conjecture is true for symmetric pure states whose amplitudes are all non-negative in a computational basis. The more general conjecture is still open.
Additional details
Identifiers
- DOI
- 10.1063/1.3271041;
- arXiv
- arXiv:0905.0010v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 12
- Journal Page Range
- p. 122104-122104.6
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040575
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GEOMETRY; HILBERT SPACE; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SYMMETRY
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE
Optional Information
- Notes
- (c) 2009 American Institute of Physics