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The statistical properties of the quantum chaotic spectra have been studied, so far, only up to the second order correlation effects. The numerical as well as the analytical evidence that random matrix theory can successfully model the…

Condensed Matter · Physics 2009-10-28 Pragya Shukla

The classic Young's double-slit experiment exhibits first-order interference, producing alternating bright and dark fringes modulated by the diffraction effect of the slits. In contrast, here we demonstrate that its time-reversed…

Optics · Physics 2025-11-06 Jianming Wen

Genuine quantum interference between independent nonlinear processes of different order provides a route to coherent control that cannot be reduced to a classical field interference. Here we present an all-optical analogue of coherent…

Optics · Physics 2026-01-27 Alessia Stefano , Samuel E. Fontaine , J. E. Sipe , Marco Liscidini

It was recently argued that the pigeonhole principle, which states that if three pigeons are put into two pigeonholes then at least one pigeonhole must contain more than one pigeon, is violated in quantum systems [Y. Aharonov et al., PNAS…

Quantum Physics · Physics 2021-07-21 Raul Corrêa , Pablo L. Saldanha

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…

Quantum Physics · Physics 2019-11-06 Sandeep Mishra , Anu Venugopalan , Tabish Qureshi

Classical optical interference experiments correspond to a measurement of the first-order correlation function of the electromagnetic field. The converse of this statement: experiments that measure the first order correlation functions do…

Quantum Physics · Physics 2009-11-07 Ole Steuernagel

The duality principle, a cornerstone of quantum mechanics, limits the coexistence of wave and particle behaviours of quantum systems. This limitation takes a quantitative form when applied to the visibility $\mathcal V$ and predictability…

Quantum Physics · Physics 2014-06-20 Jonathan Leach , Eliot Bolduc , Filippo. M. Miatto , Kevin Piche , Gerd Leuchs , Robert W. Boyd

We study the impact of distinguishability and mixedness -- two fundamental properties of quantum states -- on quantum interference. We show that these can influence the interference of multiple particles in different ways, leading to…

In the operational approach to general probabilistic theories one distinguishes two spaces, the state space of the "elementary systems" and the physical space in which "laboratory devices" are embedded. Each of those spaces has its own…

Quantum Physics · Physics 2013-07-16 Borivoje Dakic , Caslav Brukner

We present a novel variant of decision making based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intentions,…

Mathematical Physics · Physics 2011-03-07 V. I. Yukalov , D. Sornette

A goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the observer into the measurement process. Such intrusion is usually seen to arise because observation somehow selects a single actuality from among…

Quantum Physics · Physics 2007-05-23 Bruce Rosenblum , Fred Kuttner

We compare the classical Kolmogorov and quantum probability models. We show that the gap between these model is not so huge as it was commonly believed. The main structures of quantum theory (interference of probabilities, Born's rule,…

Probability · Mathematics 2007-05-23 Andrei Khrennikov

In a new approach to explain double-slit interference "from the single particle perspective" via "systemic nonlocality", we answer the question of how a particle going through one slit can "know" about the state of the other slit. We show…

Quantum Physics · Physics 2013-06-12 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

We introduce an interference measure which allows to quantify the amount of interference present in any physical process that maps an initial density matrix to a final density matrix. In particular, the interference measure enables one to…

Quantum Physics · Physics 2010-06-23 Daniel Braun , Bertrand Georgeot

Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for "wave-particle duality" and in an extension of this duality even as support for "complementarity". We…

Quantum Physics · Physics 2022-03-17 Lukas Mairhofer , Oliver Passon

Interference is one of the most fundamental features which characterizes quantum systems. Here we provide an exhaustive analysis of the interfere dynamics associated with wave-packet superpositions from both the standard quantum-mechanical…

Quantum Physics · Physics 2010-03-03 A. S. Sanz , S. Miret-Artes

Researchers have long been aiming to understand how the characteristics of Quantum Theory and General Relativity combine to account for regimes in their interface. One reason why this is a hard task is how differently the theories approach…

Quantum Physics · Physics 2023-10-05 Bruna Sahdo

One of the basic lessons of quantum theory is that one cannot obtain information on an unknown quantum state without disturbing it. Hence, by performing a certain measurement, we limit the other possible measurements that can be effectively…

Quantum Physics · Physics 2018-08-24 Erkka Haapasalo , Teiko Heinosaari , Takayuki Miyadera

Higher-order quantum theory is an extension of quantum theory where one introduces transformations whose input and output are transformations, thus generalizing the notion of channels and quantum operations. The generalization then goes…

Quantum Physics · Physics 2019-05-28 Alessandro Bisio , Paolo Perinotti

An addition rule of impure density operators, which provides a pure state density operator, is formulated. Quantum interference including visibility property is discussed in the context of the density operator formalism. A measure of…

Quantum Physics · Physics 2009-11-07 Vladimir I Man'ko , Giuseppe Marmo , E C George Sudarshan , Francesco Zaccaria
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