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Quantum Information Processing

Separable decompositions of bipartite mixed states

  • 01-04-2018
Published in:
Authors
Jun-Li Li
Cong-Feng Qiao
Published in
Quantum Information Processing | Issue 4/2018

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Abstract

We present a practical scheme for the decomposition of a bipartite mixed state into a sum of direct products of local density matrices, using the technique developed in Li and Qiao (Sci. Rep. 8:1442, 2018). In the scheme, the correlation matrix which characterizes the bipartite entanglement is first decomposed into two matrices composed of the Bloch vectors of local states. Then, we show that the symmetries of Bloch vectors are consistent with that of the correlation matrix, and the magnitudes of the local Bloch vectors are lower bounded by the correlation matrix. Concrete examples for the separable decompositions of bipartite mixed states are presented for illustration.

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previous article Master Lovas–Andai and equivalent formulas verifying the two-qubit Hilbert–Schmidt separability probability and companion rational-valued conjectures
next article Ordering states with various coherence measures
Title
Separable decompositions of bipartite mixed states
Authors
Jun-Li Li
Cong-Feng Qiao
Publication date
01-04-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1862-5
This content is only visible if you are logged in and have the appropriate permissions.

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