Maximally genuine multipartite entangled mixed X-states of N-qubits

Mendonca, Paulo E. M. F., Rafsanjani, Seyed Mohammad Hashemi, Galetti, Diogenes and Marchiolli, Marcelo A. (2015) Maximally genuine multipartite entangled mixed X-states of N-qubits. Journal of Physics A: Mathematical and Theoretical, 48 21: . doi:10.1088/1751-8113/48/21/215304

Author Mendonca, Paulo E. M. F.
Rafsanjani, Seyed Mohammad Hashemi
Galetti, Diogenes
Marchiolli, Marcelo A.
Title Maximally genuine multipartite entangled mixed X-states of N-qubits
Journal name Journal of Physics A: Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8121
Publication date 2015-05-08
Year available 2015
Sub-type Article (original research)
DOI 10.1088/1751-8113/48/21/215304
Open Access Status Not yet assessed
Volume 48
Issue 21
Total pages 21
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2016
Language eng
Formatted abstract
For every possible spectrum of 2N-dimensional density operators, we construct an N-qubit X-state of the same spectrum and maximal genuine multipartite (GM-) concurrence, hence characterizing a global unitary transformation that—constrained to output X-states—maximizes the GM-concurrence of an arbitrary input mixed state of N qubits. We also apply semidefinite programming methods to obtain N-qubit X-states with maximal GM-concurrence for a given purity and to provide an alternative proof of optimality of a recently proposed set of density matrices for the purpose, the so-called X-MEMS. Furthermore, we introduce a numerical strategy to tailor a quantum operation that converts between any two given density matrices using a relatively small number of Kraus operators. We apply our strategy to design short operator-sum representations for the transformation between any given N-qubit mixed state and a corresponding X-MEMS of the same purity.
Keyword Entanglement
Genuine Multipartite Concurrence
N-qubit X-states
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
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