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Entanglement Theory Quantum Correlations

Measures of entanglement in non-Abelian anyonic systems

arXiv
Authors: Robert N. C. Pfeifer

Year

2013

Paper ID

32437

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

Abstract

Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing quantum information processing. However, these quantities are not uniquely defined on a system of non-Abelian anyons. This paper describes how reduced density matrices and bipartite entanglement entropies (such as the von Neumann and Renyi entropies) may be constructed for non-Abelian anyonic systems, in ways which reduce to the conventional definitions for systems with only local degrees of freedom.

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  • Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing...

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