Multipartite quantum and classical correlations in symmetric n-qubit mixed states

Gian Luca Giorgi; Steve Campbell

doi:10.1007/s11128-016-1421-x

Multipartite quantum and classical correlations in symmetric n-qubit mixed states

Gian Luca Giorgi, Steve Campbell^*

^*Corresponding author for this work

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

280 Downloads (Pure)

Abstract

We discuss how to calculate genuine multipartite quantum and classical correlations in symmetric, spatially invariant, mixed n-qubit density matrices. We show that the existence of symmetries greatly reduces the amount of free parameters to be optimized in order to find the optimal measurement that minimizes the conditional entropy in the discord calculation. We apply this approach to the states exhibited dynamically during a thermodynamic protocol to extract maximum work. We also apply the symmetry criterion to a wide class of physically relevant cases of spatially homogeneous noise over multipartite entangled states. Exploiting symmetries we are able to calculate the non-local and genuine quantum features of these states and note some interesting properties.

Original language	English
Pages (from-to)	4599-4611
Number of pages	13
Journal	Quantum Information Processing
Volume	15
Issue number	11
Early online date	16 Aug 2016
DOIs	https://doi.org/10.1007/s11128-016-1421-x
Publication status	Early online date - 16 Aug 2016

Keywords

Discord
Multipartite correlations
Non-locality
Symmetric states

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Theoretical Computer Science
Electronic, Optical and Magnetic Materials
Signal Processing
Modelling and Simulation
Electrical and Electronic Engineering

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Multipartite quantum and classical correlations in symmetric n-qubit mixed states
© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 493 KBLicence: CC BY

Cite this

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AU - Campbell, Steve

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AB - We discuss how to calculate genuine multipartite quantum and classical correlations in symmetric, spatially invariant, mixed n-qubit density matrices. We show that the existence of symmetries greatly reduces the amount of free parameters to be optimized in order to find the optimal measurement that minimizes the conditional entropy in the discord calculation. We apply this approach to the states exhibited dynamically during a thermodynamic protocol to extract maximum work. We also apply the symmetry criterion to a wide class of physically relevant cases of spatially homogeneous noise over multipartite entangled states. Exploiting symmetries we are able to calculate the non-local and genuine quantum features of these states and note some interesting properties.

KW - Discord

KW - Multipartite correlations

KW - Non-locality

KW - Symmetric states

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JO - Quantum Information Processing

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ER -

Multipartite quantum and classical correlations in symmetric n-qubit mixed states

Abstract

Keywords

ASJC Scopus subject areas

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