Hierarchy of inequalities for quantitative duality

Details Hierarchy of inequalities for quantitative duality Hierarchy of inequalities for quantitative duality

2007-06-26

arxiv.org/abs/0706.3902v1

Physical Review A75, 052112 (2007)

Physics

Quantum Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevA.75.052112

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 (V^2+ D^2 \leq 1).

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