ENTANGLEMENT OF CONVEX LINEAR COMBINATION AND CONSTRUCTION OF PPT ENTANGLED STATES-Reference-Cited by-同舟云学术

ENTANGLEMENT OF CONVEX LINEAR COMBINATION AND CONSTRUCTION OF PPT ENTANGLED STATES

Published:2013-02 Issue:01 Volume:11 Page:1350002
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

CHENG WEI¹,XU FANG²,LI HUA³,WANG GANG⁴

Affiliation:

1. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

2. School of Sciences, Southwest Petroleum University, Chengdu 610500, China

3. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 611731, China

4. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Abstract

Given two bipartite quantum states and the convex linear combination of them, we discuss the relation between the entanglement of the convex linear combination state and the entanglement of states being combined. This is achieved by characterizing quantum states quantitatively via the positive partial transpose (PPT) criterion and the computable cross-norm or realignment (CCNR) criterion. Inspired by the Horodecki's 3 ⊗ 3 quantum states, we also give explicit examples to illustrate all possible cases of convex linear combination. Finally, as an application of this method, we show how to construct new bipartite PPT entangled states from known PPT entangled states by convex linear combination.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749913500020

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