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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Geometry of two-qubit states with negative conditional entropy

arXiv
Authors: Nicolai Friis, Sridhar Bulusu, Reinhold A. Bertlmann

Year

2016

Paper ID

43583

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We review the geometric features of negative conditional entropy and the properties of the conditional amplitude operator proposed by Cerf and Adami for two qubit states in comparison with entanglement and nonlocality of the states. We identify the region of negative conditional entropy in the tetrahedron of locally maximally mixed two-qubit states. Within this set of states, negative conditional entropy implies nonlocality and entanglement, but not vice versa, and we show that the Cerf-Adami conditional amplitude operator provides an entanglement witness equivalent to the Peres-Horodecki criterion. Outside of the tetrahedron this equivalence is generally not true.

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  • We review the geometric features of negative conditional entropy and the properties of the conditional amplitude operator proposed by Cerf and Adami for two qubit states in...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.04144 [2] arXiv https://arxiv.org/abs/1609.04144 [3] Publisher https://arxiv.org/abs/1609.04144

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