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We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in the setup performs a strongly unbalanced…

量子物理 · 物理学 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

Wigner-positive quantum states have the peculiarity to admit a Wigner function that is a genuine probability distribution over phase space. The Shannon differential entropy of the Wigner function of such states -- called Wigner entropy for…

量子物理 · 物理学 2026-01-27 Zacharie Van Herstraeten , Nicolas J. Cerf

In this work we have explored few tools in Quantum State Tomography for Continuous Variable Systems. The concept of quantum states in phase space representation is introduced in a simple manner by using a few statistical concepts. Unlike…

量子物理 · 物理学 2019-12-12 Ludmila Botelho

Wigner phase space quasi-probability distribution function is a Fourier transform related to a given quantum mechanical wave function. It is shown that for the wave functions of type $\psi (q)=e^{-aq^2}\phi (q)$, the Wigner function can be…

数学物理 · 物理学 2008-01-02 A. Tegmen

The Wigner function for one and two-mode quantum systems is explicitely expressed in terms of the marginal distribution for the generic linearly transformed quadratures. Then, also the density operator of those systems is written in terms…

量子物理 · 物理学 2009-10-30 G. M. D'Ariano , S. Mancini , V. I. Man'ko , P. Tombesi

We have found an effective method of calculating the Wigner function, being a quantum analogue of joint probability distribution of position and momentum, for bound states of nonrelativistic hydrogen atom. The formal similarity between the…

量子物理 · 物理学 2009-11-11 L. Praxmeyer , J. Mostowski , K. Wodkiewicz

We derive a compact expression for the second-order correlation function $g^{(2)} (0)$ of a quantum state in terms of its Wigner function, thereby establishing a direct link between $g^{(2)} (0)$ and the state's shape in phase space. We…

In this work, we present an educational activity aimed at measuring the Wigner distribution functions of quantum states of light in the undergraduate laboratory. This project was conceived by students from various courses within the physics…

物理教育 · 物理学 2023-10-27 Juan-Rafael Álvarez , Andrés Martínez Silva , Alejandra Valencia

The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such definition emerges naturally from the Wigner representation of quantum mechanics, and can easily quantify the amount of…

量子物理 · 物理学 2009-11-07 G. Manfredi , M. R. Feix

We construct an explicit Wigner function for N-mode squeezed state. Based on a previous observation that the Wigner function describes correlations in the joint measurement of the phase-space displaced parity operator, we investigate the…

量子物理 · 物理学 2009-11-10 Chunfeng Wu , Jing-Ling Chen , L. C. Kwek , C. H. Oh , Kang Xue

We demonstrate the reconstruction of the Wigner function from marginal distributions of the motion of a single trapped particle using homodyne detection. We show that it is possible to generate quantum states of levitated optomechanical…

量子物理 · 物理学 2017-11-23 Muddassar Rashid , Marko Toroš , Hendrik Ulbricht

The presence of negative values in the Wigner quasiprobability distribution is deemed one of the hallmarks of nonclassical phenomena in quantum systems. Here we demonstrate a classical model of squeezed light that, when combined with…

量子物理 · 物理学 2026-01-27 Brian R. La Cour

We examine the interpretation of individual phase-space trajectories of the Wigner function as corresponding to possible outcomes of single experimental trials. To this end, we investigate the relation between the true (measured) particle…

量子物理 · 物理学 2016-08-30 R. J. Lewis-Swan , M. K. Olsen , K. V. Kheruntsyan

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create…

量子物理 · 物理学 2017-11-08 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

One and two photon wave functions are derived by projecting the quantum state vector onto simultaneous eigenvectors of the number operator and a recently constructed photon position operator [Phys. Rev A 59, 954 (1999)] that couples spin…

量子物理 · 物理学 2015-05-13 Margaret Hawton

We prepare single phonon Fock state of mechanical mode in optomechanical system based on photon subtraction process in the linear regime of optomechanical interaction. The correlation set between cavity and field modes is utilized to recast…

量子物理 · 物理学 2015-12-14 M. Miskeen Khan , M. Javed Akram , F. Saif

We study the possibility of reconstructing the quantum state of light in a cavity subject to dissipation. We pass atoms, also subject to decay, through the cavity and surprisingly show that both decays allow the measurement of…

量子物理 · 物理学 2017-06-07 N. Yazdanpanah , M. K. Tavassoly , R. Juarez-Amaro , H. M. Moya-Cessa

We demonstrate an implementation of unambiguous state discrimination of two equally probable single-qubit states via a one-dimensional photonic quantum walk experimentally. Furthermore we experimentally realize a quantum walk algorithm for…

量子物理 · 物理学 2014-10-10 Zhihao Bian , Rong Zhang , Hao Qin , Xiang Zhan , Jian Li , Peng Xue

We show that partial transposition for pure and mixed two-particle states in a discrete $N$-dimensional Hilbert space is equivalent to a change in sign of a "momentum-like" variable of one of the particles in the Wigner function for the…

量子物理 · 物理学 2017-05-29 Yehuda B. Band , Pier A. Mello

We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on…

统计理论 · 数学 2011-06-23 Cristina Butucea , Madalin Guţa , Luis Artiles