Separable approximation for mixed states of composite quantum systems

Preprint

23 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0104098

Abstract

We describe a purely algebraic method for finding the best separable approximation to a mixed state of a composite 2x2 quantum system, consisting of a decomposition of the state into a linear combination of a mixed separable part and a pure entangled one. We prove that, in a generic case, the weight of the pure part in the decomposition equals the concurrence of the state.

Keywords

SEPARABLE APPROXIMATION
COMPOSITE QUANTUM
PURELY ALGEBRAIC
QUANTUM SYSTEMS
DECOMPOSITION
MIXED STATES
PURE PART

All Related Versions

Version 1, 2001-04-19, ArXiv
Version 2, 2001-04-23, ArXiv
Version 3, 2001-07-23, ArXiv
Published version: Physical Review A, 64 (5), 052302.

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