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We analyze the tomographic representation for the Friedmann-Robertson-Walker (FRW) model within the Loop Quantum Cosmology framework. We focus on the Wigner quasi-probability distributions associated with Gaussian and Schr\"odinger cat…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Jasel Berra-Montiel , Alberto Molgado

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,…

Quantum Physics · Physics 2025-04-10 Juan Camilo López Carreño

Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006)…

Quantum Physics · Physics 2009-01-06 Hong-yi Fan , Li-yun Hu

We report on the generation of polarization squeezing of intense, short light pulses using an asymmetric fiber Sagnac interferometer. The Kerr nonlinearity of the fiber is exploited to produce independent amplitude squeezed pulses. The…

Quantum Physics · Physics 2016-08-16 J. Heersink , T. Gaber , S. Lorenz , O. Glöckl , N. Korolkova , G. Leuchs

The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner and the coherent-state quasiprobabilities are also presented…

Quantum Physics · Physics 2009-10-30 Vladimir I. Man'ko , Alfred Wünsche

We discuss the use of a region of uniform and constant magnetic field in order to implement a two-state atomic polarizer for an H(2S) beam. We have observed that a device with such field configuration is capable of achieving an efficient…

A protocol is provided to reconstruct the Wigner function for the motional state of a trapped ion via fluorescence detection on another ion in the same trap. This "sympathetic tomography" of a dark ion without optical transitions suitable…

Quantum Physics · Physics 2013-05-30 Safoura Sadat Mirkhalaf , Klaus Molmer

Quantum dots may display fascinating features of strong correlation such as finite-size Wigner crystallization. We here review a few electron spectroscopies and predict that both inelastic light scattering and tunneling imaging experiments…

Strongly Correlated Electrons · Physics 2009-11-11 Massimo Rontani

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…

Quantum Physics · Physics 2026-01-27 Brian R. La Cour

We study the tomography of propagators for spin systems in the context of finite-dimensional Wigner representations, which completely characterize and visualize operators using shapes assembled from linear combinations of spherical…

Quantum Physics · Physics 2018-07-12 David Leiner , Steffen J. Glaser

We demonstrate a novel experimental technique for quantum-state tomography of the collective density matrix. It is based on measurements of the polarization of light, traversing the atomic vapor. To assess the technique's robustness against…

Quantum Physics · Physics 2025-08-29 Marek Kopciuch , Magdalena Smolis , Adam Miranowicz , Szymon Pustelny

We study polarization squeezing of a light beam initially in the coherent state using the nonlinear interaction hamiltonian $ H=k\big(\hat a_{x}^{\dagger2}+{\hat a_{x}}^2\big)$. For the degree of polarization squeezing, we use a definition…

Quantum Physics · Physics 2016-11-03 Namrata Shukla , Ranjana Prakash

We propose a novel strategy to reconstruct the quantum state of dark systems, i.e., degrees of freedom that are not directly accessible for measurement or control. Our scheme relies on the quantum control of a two-level probe that exerts a…

Quantum Physics · Physics 2019-03-26 Yu Liu , Jiazhao Tian , Ralf Betzholz , Jianming Cai

Quantum state tomography is a central technique for the characterization and verification of quantum systems. Standard tomography is widely used for low-dimensional systems, but for larger systems, it becomes impractical due to the…

The experimental realization of optimal symmetric phase-covariant 1->2 cloning of qubit states is presented. The qubits are represented by polarization states of photons generated by spontaneous parametric down-conversion. The experiment is…

Quantum Physics · Physics 2009-11-13 A. Cernoch , L. Bartuskova , J. Soubusta , M. Jezek , J. Fiurasek , M. Dusek

We have studied relative-intensity fluctuations for a variable set of orthogonal elliptic polarization components of a linearly polarized laser beam traversing a resonant $^{87}$Rb vapor cell. Significant polarization squeezing at the…

Quantum Physics · Physics 2015-05-28 S. Barreiro , P. Valente , H. Failache , A. Lezama

The quasiprobability distribution of the discrete Wigner function provides a complete description of a quantum state and is, therefore, a useful alternative to the usual density matrix description. Moreover, the experimental quantum state…

Quantum Physics · Physics 2023-10-13 Deepesh Khushwani , Priya Batra , V. R. Krithika , T. S. Mahesh

Polarization skyrmions are usually characterized through a unit Stokes vector field, which defines a map from the transverse plane to the Poincar\'e (Bloch) sphere and allows one to assign a skyrmion number under appropriate boundary…

Optics · Physics 2026-05-27 Rosario Martínez-Herrero , Ángel S. Sanz

We describe an experiment in which a physical qubit represented by the polarization state of a single-photon was probabilistically encoded in the logical state of two photons. The experiment relied on linear optics, post-selection, and…

Quantum Physics · Physics 2009-11-10 T. B. Pittman , B. C Jacobs , J. D. Franson

The full characterization of quantum states of light is a central task in quantum optics and information science. Double homodyne detection provides a powerful method for the direct measurement of the Husimi Q quasi-probability…

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