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Title: Mixtures of maximally entangled pure states

Abstract

We study the conditions when mixtures of maximally entangled pure states remain entangled. We found that the resulting mixed state remains entangled when the number of entangled pure states to be mixed is less than or equal to the dimension of the pure states. For the latter case of mixing a number of pure states equal to their dimension, we found that the mixed state is entangled provided that the entangled pure states to be mixed are not equally weighted. We also found that one can restrict the set of pure states that one can mix from in order to ensure that the resulting mixed state is genuinely entangled. Also, we demonstrate how these results could be applied as a way to detect entanglement in mixtures of the entangled pure states with noise.

Authors:
;
Publication Date:
OSTI Identifier:
22617380
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MIXED STATES; PURE STATES; QUANTUM ENTANGLEMENT

Citation Formats

Flores, M.M., E-mail: mflores@nip.up.edu.ph, and Galapon, E.A., E-mail: eric.galapon@gmail.com. Mixtures of maximally entangled pure states. United States: N. p., 2016. Web. doi:10.1016/J.AOP.2016.05.018.
Flores, M.M., E-mail: mflores@nip.up.edu.ph, & Galapon, E.A., E-mail: eric.galapon@gmail.com. Mixtures of maximally entangled pure states. United States. doi:10.1016/J.AOP.2016.05.018.
Flores, M.M., E-mail: mflores@nip.up.edu.ph, and Galapon, E.A., E-mail: eric.galapon@gmail.com. Thu . "Mixtures of maximally entangled pure states". United States. doi:10.1016/J.AOP.2016.05.018.
@article{osti_22617380,
title = {Mixtures of maximally entangled pure states},
author = {Flores, M.M., E-mail: mflores@nip.up.edu.ph and Galapon, E.A., E-mail: eric.galapon@gmail.com},
abstractNote = {We study the conditions when mixtures of maximally entangled pure states remain entangled. We found that the resulting mixed state remains entangled when the number of entangled pure states to be mixed is less than or equal to the dimension of the pure states. For the latter case of mixing a number of pure states equal to their dimension, we found that the mixed state is entangled provided that the entangled pure states to be mixed are not equally weighted. We also found that one can restrict the set of pure states that one can mix from in order to ensure that the resulting mixed state is genuinely entangled. Also, we demonstrate how these results could be applied as a way to detect entanglement in mixtures of the entangled pure states with noise.},
doi = {10.1016/J.AOP.2016.05.018},
journal = {Annals of Physics},
number = ,
volume = 372,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}