Duality of quantum coherence and path distinguishability

Bera, Manabendra Nath ; Qureshi, Tabish ; Siddiqui, Mohd Asad ; Pati, Arun Kumar (2015) Duality of quantum coherence and path distinguishability Physical Review A, 92 (1). Article ID 012118. ISSN 1050-2947

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Official URL: http://journals.aps.org/pra/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevA.92.012118


We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a quantifier as the normalized quantum coherence, recently defined in the framework of quantum information theory. To witness the particle nature, we quantify the path distinguishability or the which-path information based on unambiguous quantum state discrimination. Then, the Bohr complementarity principle for multipath quantum interference can be stated as a duality relation between the quantum coherence and the path distinguishability. For two-path interference, the quantum coherence is identical to the interference fringe visibility, and the relation reduces to the well-known complementarity relation. The duality relation continues to hold in the case where mixedness is introduced due to possible decoherence effects.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:105525
Deposited On:09 Mar 2018 11:41
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