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Title: Convex polytopes and quantum separability

Abstract

We advance a perspective of the entanglement issue that appeals to the Schlienz-Mahler measure [Phys. Rev. A 52, 4396 (1995)]. Related to it, we propose a criterium based on the consideration of convex subsets of quantum states. This criterium generalizes a property of product states to convex subsets (of the set of quantum states) that is able to uncover an interesting geometrical property of the separability property.

Authors:
;  [1]
  1. Departamento de Matematica - Ciclo Basico Comun, Universidad de Buenos Aires - Pabellon III, Ciudad Universitaria, Buenos Aires, Argentina and CONICET (Argentina)
Publication Date:
OSTI Identifier:
22095587
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 6; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GEOMETRY; QUANTUM CRYPTOGRAPHY; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM STATES

Citation Formats

Holik, F., Plastino, A., and National University La Plata and CONICET IFLP-CCT, C.C. 727 - 1900 La Plata. Convex polytopes and quantum separability. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.062327.
Holik, F., Plastino, A., & National University La Plata and CONICET IFLP-CCT, C.C. 727 - 1900 La Plata. Convex polytopes and quantum separability. United States. https://doi.org/10.1103/PHYSREVA.84.062327
Holik, F., Plastino, A., and National University La Plata and CONICET IFLP-CCT, C.C. 727 - 1900 La Plata. 2011. "Convex polytopes and quantum separability". United States. https://doi.org/10.1103/PHYSREVA.84.062327.
@article{osti_22095587,
title = {Convex polytopes and quantum separability},
author = {Holik, F. and Plastino, A. and National University La Plata and CONICET IFLP-CCT, C.C. 727 - 1900 La Plata},
abstractNote = {We advance a perspective of the entanglement issue that appeals to the Schlienz-Mahler measure [Phys. Rev. A 52, 4396 (1995)]. Related to it, we propose a criterium based on the consideration of convex subsets of quantum states. This criterium generalizes a property of product states to convex subsets (of the set of quantum states) that is able to uncover an interesting geometrical property of the separability property.},
doi = {10.1103/PHYSREVA.84.062327},
url = {https://www.osti.gov/biblio/22095587}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 84,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2011},
month = {Thu Dec 15 00:00:00 EST 2011}
}