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Numerical estimation of the relative entropy of entanglement

Yuriy Zinchenko(yzinchen***at***math.ucalgary.ca)
Shmuel Friedland(friedlan***at***uic.edu)
Gilad Gour(gour***at***math.ucalgary.ca)

Abstract: We propose a practical algorithm for the calculation of the relative entropy of entanglement(REE), defined as the minimum relative entropy between a state and the set of states with positive partial transpose. Our algorithm is based on a practical semi-definite cutting plane approach. In low dimensions the implementation of the algorithm in MATLAB provides an estimation for the REE with an absolute error smaller than .001.

Keywords: Quantum information theory, relative entropy, entanglement, semi-definite cutting planes

Category 1: Applications -- Science and Engineering (Basic Sciences Applications )

Category 2: Applications -- Science and Engineering (Other )


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Entry Submitted: 11/29/2010
Entry Accepted: 12/02/2010
Entry Last Modified: 11/29/2010

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