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Optical parametric down-conversion is a common source for the generation of non-classical correlated photonic states. Using a parametric down-conversion source and photon-number resolving detectors, we measure the two-mode photon-number…

量子物理 · 物理学 2014-02-04 L. Dovrat , M. Bakstein , D. Istrati , E. Megidish , A. Halevy , H. S. Eisenberg

Using a perturbative approach, we investigate the parametric down-conversion process without the semi-classical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the…

量子物理 · 物理学 2020-09-16 Filippus S. Roux

We perform numerical tests on quantum nonlocality of two-level quantum systems (qubits) observed by a uniformly moving observer. Under a suitable momentum setting, the quantum nonlocality of two-qubit nonmaximally entangled states could be…

量子物理 · 物理学 2015-06-15 Hong-Yi Su , Yu-Chun Wu , Jing-Ling Chen , Chunfeng Wu , L. C. Kwek

In this thesis we present a direct scheme for measuring quasidistribution functions of light. This scheme, based on photon counting, is derived from a simple relation linking the Wigner function with photon statistics. We develop a full…

量子物理 · 物理学 2007-05-23 Konrad Banaszek

A model of spontaneous wavefunction collapse, which is explicitly local and Lorentz-invariant, is defined. Some of the predictions of the model for specific experimental situations are derived. It is shown that, although incompatible…

量子物理 · 物理学 2007-05-23 Chris Dove , Euan J. Squires

An experimental setup for testing quantum nonlocality of N qubits is proposed. This method is a generalization of the optical setup proposed by Banaszek and Wodkiewicz [1]. The quantum nonlocality of N qubits can be obtained through its…

量子物理 · 物理学 2009-11-11 Chunfeng Wu , Jing-Ling Chen , L. C. Kwek , C. H. Oh

An experiment is described which proves, using single photons only, that the standard hidden variables assumptions (commonly used to derive Bell inequalities) are inconsistent with quantum mechanics. The analysis is very simple and…

量子物理 · 物理学 2007-06-22 Arnold Neumaier

A local, deterministic toy model for quantum mechanics is introduced and discussed. It is demonstrated that, when averaged over the hidden variables, the model produces the same predictions as quantum mechanics. In the model considered…

量子物理 · 物理学 2022-09-07 Sandro Donadi , Sabine Hossenfelder

The quantum state of a light beam can be represented as an infinite dimensional density matrix or equivalently as a density on the plane called the Wigner function. We describe quantum tomography as an inverse statistical problem in which…

统计理论 · 数学 2007-06-13 L. M. Artiles , R. D. Gill , M. I. Guta

In designing and optimizing new-generation nanomaterials and related quantum devices, dissipation versus decoherence phenomena are often accounted for via local scattering models, such as relaxation-time and Boltzmann-like schemes. Here we…

介观与纳米尺度物理 · 物理学 2017-09-14 Rita Claudia Iotti , Fabrizio Dolcini , Fausto Rossi

Wigner functions provide a way to do quantum physics using quasiprobabilities, that is, "probability" distributions that can go negative. Informationally complete POVMs, a much younger subject than phase space formulations of quantum…

量子物理 · 物理学 2020-10-07 John B. DeBrota , Blake C. Stacey

The Wigner function is a phase space quasi-probability distribution whose negative regions provide a direct, local signature of nonclassicality. To identify where phase-sensitive structure concentrates, we introduce local positive- and…

光学 · 物理学 2025-11-05 Kyu-won Park , Soojoon Lee , Kabgyun Jeong

The phenomenon of parametric down conversion from the vacuum may be understood as a process in classical electrodynamics, in which a nonlinear crystal couples the modes of the pumping field with those of the zeropoint, or "vacuum" field.…

量子物理 · 物理学 2007-05-23 Trevor W. Marshall

We develop methodology and theory for the detection of a phase transition in a time-series of high-dimensional random matrices. In the model we study, at each time point \( t = 1,2,\ldots \), we observe a deformed Wigner matrix \(…

统计理论 · 数学 2025-07-08 Nina Dörnemann , Piotr Kokoszka , Tim Kutta , Sunmin Lee

In quantum optics, the quantum state of a light beam is represented through the Wigner function, a density on $\mathbb R^2$ which may take negative values but must respect intrinsic positivity constraints imposed by quantum physics. In the…

统计理论 · 数学 2015-06-24 Karim Lounici , Katia Meziani , Gabriel Peyré

A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to the von Neumann equation for the density matrix. The transform reduces to the Weyl transform in the electrostatic limit, when the…

数学物理 · 物理学 2022-11-24 Mihail Nedjalkov , Mauro Ballicchia , Robert Kosik , Josef Weinbub

States with a negative Wigner function, a significant subclass of nonclassical states, serve as a valuable resource for various quantum information processing tasks. Here, we provide a criterion for detecting such quantum states…

量子物理 · 物理学 2025-03-06 Bivas Mallick , Sudip Chakrabarty , Saheli Mukherjee , Ananda G. Maity , A. S. Majumdar

It is shown that Quantum Mechanics is ambiguous when predicting relative frequencies for an entangled system if the measurements of both subsystems are performed in spatially separated events. This ambiguity gives way to unphysical…

量子物理 · 物理学 2016-01-27 Carlos Lopez

We propose a very simple experimental setup to measure, via photon counting, the overlap of the Wigner functions characterizing two single mode light beams. We show that this scheme can be applied to determine directly the phase space…

atom-ph · 物理学 2009-10-28 Konrad Banaszek , Krzysztof Wodkiewicz

We calculate exactly the quantum mechanical, temporal Wigner quasiprobability density for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz., a displaced-squeezed thermal state. The Wigner function…

量子物理 · 物理学 2021-03-16 Moorad Alexanian