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Entanglement Theory Quantum Correlations

Maximally entangled mixed states for qubit-qutrit systems

arXiv
Authors: Paulo E. M. F. Mendonca, Marcelo A. Marchiolli, Samuel R. Hedemann

Year

2016

Paper ID

42036

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity. In the first case, the problem is solved in full generality whereas, in the latter, partial solutions are obtained by imposing extra spectral constraints such as rank-deficiency and degeneracy, which enable a semidefinite programming treatment for the optimization problem at hand. Despite the technically-motivated assumptions, we provide strong numerical evidence that three-fold degenerate X states of purity P reach the highest entanglement negativity accessible to arbitrary qubit-qutrit density matrices of the same purity, hence characterizing a sparse family of likely qubit-qutrit maximally entangled mixed states.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.01214 [2] arXiv https://arxiv.org/abs/1612.01214 [3] Publisher https://arxiv.org/abs/1612.01214

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