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We report a direct measurement of the Wigner function characterizing the quantum state of a light mode. The experimental scheme is based on the representation of the Wigner function as an expectation value of a displaced photon number…

量子物理 · 物理学 2008-11-26 K. Banaszek , C. Radzewicz , K. Wodkiewicz , J. S. Krasinski

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

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

The recently proposed scheme for direct sampling of the quantum phase space by photon counting is discussed within the Wigner function formalism.

量子物理 · 物理学 2007-05-23 Konrad Banaszek , Krzysztof Wodkiewicz

We present the reconstruction of the Wigner function of some classical pulsed optical states obtained by direct measurement of the detected-photon probability distributions of the state displaced by a coherent field. We use a photodetector…

量子物理 · 物理学 2015-05-13 Maria Bondani , Alessia Allevi , Alessandra Andreoni

One of the most prominent quasiprobability functions in quantum mechanics is the Wigner function that gives the right marginal probability functions if integrated over position or momentum. Here we depart from the definition of the…

量子物理 · 物理学 2013-03-13 Hector Moya-Cessa

It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasi-probability distribution (Wigner function) [Phys Rev Lett 117, 180401]. Such functions take the form of expectation…

量子物理 · 物理学 2017-08-16 R. P. Rundle , P. W. Mills , Todd Tilma , J. H. Samson , M. J. Everitt

In quantum mechanics, the Wigner function $\rho_W(\textbf{r},\textbf{p})$ serves as a phase-space representation, capturing information about both the position $\textbf{r}$ and momentum $\textbf{p}$ of a quantum system. The Wigner function…

量子物理 · 物理学 2024-03-20 Reiko Yamada , Antoine Reserbat-Plantey , Eloy Piñol , Maciej Lewenstein

Most methods for experimentally reconstructing the quantum state of light involve determining a quasiprobability distribution such as the Wigner function. In this paper we present a scheme for measuring individual density matrix elements in…

量子物理 · 物理学 2009-11-07 K. L. Pregnell , D. T. Pegg

We investigate quantum properties of pulsed light fields point by point in phase space. We probe the negative region of the Wigner function of a single photon generated by the means of waveguided parametric down-conversion. This capability…

量子物理 · 物理学 2010-12-24 Kaisa Laiho , Katiuscia N. Cassemiro , David Gross , Christine Silberhorn

We present a scheme that uses Ramsey interferometry to directly probe the Wigner function of a neutral atom confined in an optical trap. The proposed scheme relies on the well-established fact that the Wigner function at a given point…

We present a complete statistical analysis of quantum optical measurement schemes based on photodetection. Statistical distributions of quantum observables determined from a finite number of experimental runs are characterized with the help…

量子物理 · 物理学 2015-06-26 Konrad Banaszek

We present a phase space description of the process of quantum teleportation for a system with an $N$ dimensional space of states. For this purpose we define a discrete Wigner function which is a minor variation of previously existing ones.…

量子物理 · 物理学 2009-11-07 Juan Pablo Paz

In spite of their potential usefulness, Wigner functions for systems with SU(1,1) symmetry have not been explored thus far. We address this problem from a physically-motivated perspective, with an eye towards applications in modern…

量子物理 · 物理学 2020-09-09 U. Seyfarth , A. B. Klimov , H. de Guise , G. Leuchs , L. L. Sanchez-Soto

The Wigner function was introduced as an attempt to describe quantum-mechanical fields with the tools inherited from classical statistical mechanics. In particular, it is widely used to describe the properties of radiation fields. In fact,…

量子物理 · 物理学 2025-04-10 Juan Camilo López Carreño

Notwithstanding radical conceptual differences between classical and quantum mechanics, it is usually assumed that physical measurements concern observables common to both theories . Not so with the eigenvalues ($\pm 1$) of the parity…

量子物理 · 物理学 2009-11-10 A. M. Ozorio de Almeida , O. Brodier

We present the reconstruction of the Wigner function of a classical phase-sensitive state, a pulsed coherent state, by measurements of the distributions of detected-photons of the state displaced by a coherent probe field. By using a hybrid…

量子物理 · 物理学 2016-04-27 Maria Bondani , Alessia Allevi , Alessandra Andreoni

We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared pulses. The state is represented through the Wigner function, a ``quasi-probability density'' on $\mathbb{R}^{2}$…

统计理论 · 数学 2011-06-23 Madalin Guta , Luis Artiles

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

We investigate the capabilities of loss-tolerant quantum state characterization using a photon-number resolving, time-multiplexed detector (TMD). We employ the idea of probing the Wigner function point-by-point in phase space via photon…

量子物理 · 物理学 2009-11-13 K Laiho , M Avenhaus , K N Cassemiro , Ch Silberhorn
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