Interferometric visibility and coherence

Abstract

Recently, the basic concept of quantum coherence (or superposition) has gained a lot of renewed attention, after Baumgratz et al. [PRL 113:140401 (2014)], following Åberg [arXiv:quant-ph/0612146], have proposed a resource theoretic approach to quantify it. This has resulted in a large number of papers and preprints exploring various coherence monotones, and debating possible forms for the resource theory. Here we take the view that the operational foundation of coherence in a state, be it quantum or otherwise wave mechanical, lies in the observation of interference effects. Our approach here is to consider an idealised multi-path interferometer, with a suitable detector, in such a way that the visibility of the interference pattern provides a quantitative expression of the amount of coherence in a given probe state. We present a general framework of deriving coherence measures from visibility, and demonstrate it by analysing several concrete visibility parameters, recovering some known coherence measures and obtaining some new ones.

arXiv comment2+3+4 pages, 3-1 figures. v2 has more references and extended discussion. v3 in journal submission format with revisions and corrections; 20 pages, 2 figures

References in corpus (16)

• Quantifying Coherence
• Quantum Coherence as a Resource
• Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
• Operational Resource Theory of Coherence
• Robustness of coherence: An operational and observable measure of quantum coherence
• Observable measure of quantum coherence in finite dimensional systems
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Duality of Quantum Coherence and Path Distinguishability
• Relations between coherence and path information
• Quantifying Superposition
• The quantum Chernoff bound as a measure of distinguishability between density matrices: application to qubit and Gaussian states
• Entropic framework for wave-particle duality in multipath interferometers
• On Interferometric Duality in Multibeam Experiments
• Contrast in Multipath Interference and Quantum Coherence
• Information theoretic approach to single-particle and two-particle interference in multi-path interferometers
• Wave-particle duality in multi-path interferometers: General concepts and three-path interferometers

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