Concurrence vectors of multipartite states based on coefficient matrices

Concurrence vectors of multipartite states based on coefficient matrices In this paper, we propose a concurrence vector for a multipartite qudit pure state based on its coefficient matrices and define its norm as the generalized concurrence. Moreover, we prove that this generalized concurrence is a good measure according to the three necessary conditions that any measure of entanglement has to satisfy, i.e. it equals zero if and only if the state is separable, it remains invariant under local unitary transformations, and it is not increasing under local operations and classical communication. This generalized concurrence is very practical and convenient for computation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Concurrence vectors of multipartite states based on coefficient matrices

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Computer Science, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Mathematics, general; Physics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0247-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we propose a concurrence vector for a multipartite qudit pure state based on its coefficient matrices and define its norm as the generalized concurrence. Moreover, we prove that this generalized concurrence is a good measure according to the three necessary conditions that any measure of entanglement has to satisfy, i.e. it equals zero if and only if the state is separable, it remains invariant under local unitary transformations, and it is not increasing under local operations and classical communication. This generalized concurrence is very practical and convenient for computation.

Journal

Quantum Information ProcessingSpringer Journals

Published: May 20, 2011

References

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