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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Foundations

Biseparability of 3-qubits density matrices using Hilbert-Schmidt decompositions: Sufficient conditions and explicit expressions

arXiv
Authors: Y. Ben-Aryeh, A. Mann

Year

2016

Paper ID

42759

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

Hilbert-Schmidt (HS) decompositions and Frobenius norms are used to analyze biseparability of 3-qubit systems, with particular emphasis on density matrices with maximally disordered subsystems (MDS) and on the W state mixed with white noise. The biseparable form of a MDS density matrix is obtained by using the Bell states of a 2-qubit subsystem, multiplied by density matrices of the third qubit, which include the relevant HS parameters. Using our methods a sufficient condition and explicit biseparability of the W state mixed with white noise are given. They are compared with the sufficient condition for explicit full separability given in a previous work.

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  • Hilbert-Schmidt (HS) decompositions and Frobenius norms are used to analyze biseparability of 3-qubit systems, with particular emphasis on density matrices with maximally...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.07820 [2] arXiv https://arxiv.org/abs/1610.07820 [3] Publisher https://arxiv.org/abs/1610.07820

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