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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Hierarchy of inequalities for quantitative duality

arXiv
Authors: Jesus Martinez-Linares

Year

2007

Paper ID

49841

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We derive different relations quantifying duality in a generic two-way interferometer. These relations set different upper bounds to the visibility V of the fringes measured at the output port of the interferometer. A hierarchy of inequalities is presented which exhibits the influence of the availability to the experimenter of different sources of which-way information contributing to the total distinguishability D of the ways. For mixed states and unbalanced interferometers an inequality is derived, V^2+ Xi^2 \leq 1, which can be more stringent than the one associated with the distinguishability V2+ D2 leq 1.

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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 derive different relations quantifying duality in a generic two-way interferometer.

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