Measuring quantum coherence in multislit interference

Paul, Tania; Qureshi, Tabish

doi:10.1103/physreva.95.042110

Cited by 42 publications

(76 citation statements)

References 28 publications

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“…However, one might still ask how this coherence C is connected to interference. This question has been the subject of some recent investigations [39,40]. To address this question we again consider a quanton going through n paths.…”

Section: Coherence As a New Visibilitymentioning

confidence: 99%

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Coherence, Interference and Visibility

Qureshi

2019

Quanta

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T he interference observed for a quanton, traversing more than one path, is believed to characterize its wave nature. Conventionally, the sharpness of interference has been quantified by its visibility or contrast, as defined in optics. Based on this visibility, wave-particle duality relations have been formulated for two-path interference. However, as one generalizes the situation to multi-path interference, it is found that conventional interference visibility is not a good quantifier. A recently introduced measure of quantum coherence has been shown to be a good quantifier of the wave nature. The subject of quantum coherence, in relation to the wave nature of quantons and to interference visibility, is reviewed here. It is argued that coherence can be construed as a more general form of interference visibility, if the visibility is measured in a different manner, and not as contrast. Quanta 2019; 8: 24-35.

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Section: Coherence As a New Visibilitymentioning

confidence: 99%

“…In addition, one may wonder if the position, at which the intensities are measured, makes a difference to the visibility. All these issues have been addressed in a more detailed analysis [40]. For two-slit interference we can compare V C with V. For n = 2, the new visibilty is given by…”

Section: Coherence As a New Visibilitymentioning

confidence: 99%

Coherence, Interference and Visibility

Qureshi

2019

Quanta

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“…One of the remaining problems is to measure C (k) c as the path distinguishability in the experimental interference pattern, as C l1 in [30]. We also guess the other members of the coherence family have accurate relations with some quantities in multi-slit interference.…”

Section: Discussionmentioning

confidence: 97%

“…As an example problem, we exploit the generalized coherence concurrence to understand wave-particle duality in the context of multi-slit interference experiments. It turns out that the concurrence family can capture the path distinguishability more accurately than l 1 -norm monotone used in [29,30]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Generalized coherence concurrence and path distinguishability

Chin¹

2017

J. Phys. A: Math. Theor.

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We propose a new family of coherence monotones, named the generalized coherence concurrence (or coherence k-concurrence), which is an analogous concept to the generalized entanglement concurrence. The coherence k-concurrence of a state is nonzero if and only if the coherence number (a recently introduced discrete coherence monotone) of the state is not smaller than k, and a state can be converted to a state with nonzero entanglement k-concurrence via incoherent operations if and only if the state has nonzero coherence k-concurrence. We apply the coherence concurrence family to the problem of wave-particle duality in multi-path interference phenomena. We obtain a sharper equation for path distinguishability (which witness the duality) than the known value and show that the amount of each concurrence for the quanton state determines the number of slits which are identified unambiguously.

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“…The determination of l 1 norm quantum coherence by means of the central maximum of the interference pattern in Eq. (3) and the diffraction pattern from ρ diag , was theoretically proposed in [12], that is, the authors proposed the use of what is equivalent to a single point of oscillation curve in Eq. (5).…”

Section: Quantum Coherence and Photonic Interference Patternmentioning

confidence: 99%

Quantum coherence of spatial photonic qudits: experimental measurement and path-marker analysis

Machado

Pádua

2020

J. Opt.

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Discussions about quantum interference, indistinguishability and superpostion between quantum states goes back to the beginning of quantum mechanics, but the theoretical problem concerning quantitative measures for quantum coherence was only recently solved by Baumgratz et al. [Phys. Rev. Lett. 113 140401 (2014)]. Since then many works have explored one of the possible coherence measures, the l 1 norm, which has not yet been experimentally obtained for spatial photonic states in high dimensions. In this article we study states prepared with photons crossing multiple slits and implement the theoretical proposal of T. Paul and T. Qureshi [ Phys. Rev. A 95 042110 (2017)] to determine experimentally the l 1 norm of qutrit states. We analyze the method validity and present an alternative for states in which one of their assumptions does not apply. We also discuss the requirements necessary for using an interference pattern for measuring quantum coherence of qudits by treating the measure-operator that describe the detection optical configuration as path-markers, relating them with the quantum coherence determination. arXiv:1910.09574v1 [physics.optics]

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Measuring quantum coherence in multislit interference

Cited by 42 publications

References 28 publications

Coherence, Interference and Visibility

Coherence, Interference and Visibility

Generalized coherence concurrence and path distinguishability

Quantum coherence of spatial photonic qudits: experimental measurement and path-marker analysis

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