Contrast in Multipath Interference and Quantum Coherence

Abstract

We develop a rigorous connection between statistical properties of an interference pattern and the coherence properties of the underlying quantum state. With explicit examples, we demonstrate that even for inaccurate reconstructions of interference patterns properly defined statistical moments permit a reliable characterization of quantum coherence.

10 pages

References in corpus (8)

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Cited by in corpus (21)

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• Entanglement and coherence in quantum state merging
• Genuine quantum coherence
• Interferometric visibility and coherence
• Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
• Axiomatic and operational connections between the $l_1$-norm of coherence and negativity
• Coherence, Interference and Visibility
• Detecting and estimating coherence based on coherence witnesses
• Quantitative wave-particle duality relations from the density matrix properties
• Coherence, Path-Predictability and I-Concurrence: A Triality
• Majorization uncertainty relations for mixed quantum states
• Interference Visibility and Wave-Particle Duality in Multi-Path Interference
• Parallel multicomponent interferometer with a spinor Bose-Einstein condensate
• Monogamy and trade-off relations for correlated quantum coherence
• Absolutely $k$-Incoherent Quantum States and Spectral Inequalities for Factor Width of a Matrix
• Detecting coherence with respect to general quantum measurements
• Role of quantum state texture in probing resource theories and quantum phase transition
• Certifying Multilevel Coherence in the Motional State of a Trapped Ion
• Characterisation of multi-level quantum coherence without ideal measurements
• Coherence measure of ensembles with nonlocality without entanglement
• Impact of quadrature measurement on quantum coherence