Three-slit interference: A duality relation: Fig. 1.

Siddiqui, Mohd Asad; Qureshi, Tabish

doi:10.1093/ptep/ptv112

Cited by 29 publications

(42 citation statements)

References 29 publications

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“…Comparing the expressions of F obtained in Eqs. (19), (24) and (31), we find that the γ-dependence of the above equation is similar with DC. It can also be confirmed from The trends of F is again similar to the one obtained for DC (see Figs.…”

Section: Phase Damping Channelsupporting

confidence: 55%

Robustness of interferometric complementarity under decoherence

et al. 2020

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Interferometric complementarity is known to be one of the most nonclassical manifestations of the quantum formalism. It is commonly known as wave-particle duality and has been studied presently from the perspective of quantum information theory where wave and particle nature of a quantum system, called quanton, are characterised by coherence and path distinguishability respectively. We here consider the effect of noisy detectors on the complementarity relation. We report that by suitably choosing the initial quanton and the detector states along with the proper interactions between the quanton and the detectors, one can reduce the influence of noisy environment on complementarity, thereby pushing it towards saturation. To demonstrate this, three kinds of noise on detectors and their roles on the saturation of the complementarity relation are extensively studied. We also observe that for fixed values of parameters involved in the process, asymmetric quanton state posses low value of coherence while it can have a higher amount of distinguishability, and hence it has the potential to enhance the duality relation. arXiv:1908.09697v1 [quant-ph]

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Section: Phase Damping Channelsupporting

confidence: 55%

Robustness of interferometric complementarity under decoherence

et al. 2020

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“…Unlike in the two-path case, in the three-path case, it is clear that under conditions described above, the traditional visibility does not capture the intuitive idea of wave-particle duality. Since the preceding analysis shows that even in a three-beam interference experiment, visibility can increase with increasing path information, it also implies that the dulaity relation for three-slit interference, formulated by Siddiqui and Qureshi [28], will not hold in such special scenarios.…”

Section: A Visibilitymentioning

confidence: 97%

Decoherence and visibility enhancement in multipath interference

2019

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We theoretically analyze the observations reported in a four-path quantum interference experiment via multiple beam Ramsey interference [Phys. Rev. Lett. 86, 559 (2001)]. In this experiment, a selective scattering of photons from just one interfering path causes decoherence. However, contrary to expectations, there is an increase in the contrast of the interference pattern, demonstrating that path selective decoherence can not only lead to a decrease, but under certain conditions, to an increase of the fringe contrast. Here we explain this seemingly counter-intuitive effect based on a model for a multipath interference, with four to six slits, in the presence of decoherence. The effect of the environment is modeled via a coupling to a bath of harmonic oscillators. When decoherence is introduced in one of the multiple paths, an enhancement in fringe contrast is seen under certain conditions. A similar effect is shown to appear if instead of path-selective decoherence, a selective path detector is introduced. Our analysis points to the fact that while traditional fringe visibility captures the wave nature in the two-path case, it can fail in multi-path situations. We explain the enhancement of fringe visibility and also show that quantum coherence based on the l 1 norm of coherence, in contrast to traditional visibility, remains a good quantifier of wave nature, even in such situations. The enhancement of fringe contrast in the presence of environmental decoherence underscores the limitations of traditional visibility as a good measure for wave nature in quantifying complementarity and also makes it an unlikely candidate for quantifying decoherence. Our analysis could lead to better insight in ways to quantify decoherence in multi-path interference, and in studies that seek to exploit quantum superpositions and quantum coherence for quantum information applications.

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“…In a radically different approach to quantify pathknowledge, a new path-distinguishability was introduced for three-slit interference [24], based on unambiguous quantum state discrimination [25][26][27][28]. The new path distinguishability is denoted by D Q , and duality relation for three-slit interference, that was derived, is…”

Section: A Duality Relation For 3-slit Interferencementioning

confidence: 99%

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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Three-slit interference: A duality relation: Fig. 1.

Cited by 29 publications

References 29 publications

Robustness of interferometric complementarity under decoherence

Robustness of interferometric complementarity under decoherence

Decoherence and visibility enhancement in multipath interference

Coherence, Interference and Visibility

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