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We implement direct readout of the symmetric characteristic function of quantum states of the motional oscillation of a trapped calcium ion. Using suitably chosen internal electronic state-dependent displacements based on bi-chromatic laser…

Quantum Physics · Physics 2020-07-29 Christa Flühmann , Jonathan P. Home

We report on experimental verification of quantum non-Gaussianity of a heralded single photon state with positive Wigner function. We unambiguously demonstrate that the generated state cannot be expressed as a mixture of Gaussian states. A…

Quantum Physics · Physics 2011-11-16 Miroslav Jezek , Ivo Straka , Michal Micuda , Miloslav Dusek , Jaromir Fiurasek , Radim Filip

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…

Quantum Physics · Physics 2017-11-23 Muddassar Rashid , Marko Toroš , Hendrik Ulbricht

We introduce a method for calculating the stationary state of a translation invariant array of weakly coupled cavities in the presence of dissipation and coherent as well as incoherent drives. Instead of computing the full density matrix…

Quantum Physics · Physics 2014-03-06 Elena del Valle , Michael J. Hartmann

The accuracy in determining the quantum state of a system depends on the type of measurement performed. Homodyne and heterodyne detection are the two main schemes in continuous-variable quantum information. The former leads to a direct…

Superradiance is a quantum phenomenon in which coherence between emitters results in enhanced and directional radiative emission. Many quantum optical phenomena can be characterized by the two-time quantum correlation function…

Quantum Physics · Physics 2026-01-30 Daniel Eyles , Emmanuel Lassalle , Adam Stokes , Ramón Paniagua-Domínguez , Ahsan Nazir

Following the information-based approach to Dirac spinors under a constant magnetic field, the phase-space representation of symmetric and anti-symmetric localized Dirac cat states is obtained. The intrinsic entanglement profile implied by…

Quantum Physics · Physics 2021-11-05 Caio Fernando e Silva , Alex E. Bernardini

We have measured the 2-particle correlation function of atoms from a Bose--Einstein condensate participating in a superradiance process, which directly reflects the 2nd order coherence of the emitted light. We compare this correlation…

We present the experimental reconstruction of the Wigner function of an individual electronic spin qubit associated with a nitrogen-vacancy (NV) center in diamond at room temperature. This spherical Wigner function contains the same…

Quantum Physics · Physics 2019-02-20 Bing Chen , Jianpei Geng , Feifei Zhou , Lingling Song , Heng Shen , Nanyang Xu

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…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

We show how to represent the state and the evolution of a quantum computer (or any system with an $N$--dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary $N$, is…

Quantum Physics · Physics 2009-11-07 Pablo Bianucci , Cesar Miquel , Juan Pablo Paz , Marcos Saraceno

We calculate the intensity-field correlations in the light scattered by N cold atoms driven by a quasi-resonant laser field. Fundamental differences occur if the atomic state is an entangled single-excitation state or a coherent factorized…

Quantum Physics · Physics 2022-08-03 Nicola Piovella

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…

Statistics Theory · Mathematics 2015-06-24 Karim Lounici , Katia Meziani , Gabriel Peyré

The aim of this work is to estimate a quadratic functional of a unknown Wigner function from noisy tomographic data. The Wigner function can be seen as the representation of the quantum state of a light beam. The estimation of a quadratic…

Statistics Theory · Mathematics 2016-08-16 Katia Méziani

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

In this article, we study quantum coherence of bipartite state from the perspective of weak measurement, which generalizes the notion of coherence relative to measurement. The is being illustrated by computing coherence for the well-known…

Quantum Physics · Physics 2023-04-06 Indrajith V. S , R. Muthuganesan , R. Sankaranarayanan

We continue the analysis of our previous articles which were devoted to type-I parametric down conversion, the extension to type-II being straightforward. We show that entanglement, in the Wigner representation, is just a correlation that…

Quantum Physics · Physics 2025-02-18 Alberto Casado , Trevor W. Marshall , Emilio Santos

Various quantum technology applications require high-purity single photons with high generation rate. Although different methods are employed to generate such photons, heralded single photons from spontaneous parametric down-conversion…

Quantum Physics · Physics 2022-07-15 A. Padhye , K. Muhammed Shafi , C. M. Chandrashekar

An analysis of the homodyne tomography process that is often used to determine the Wigner functions of quantum optical states is performed to consider the effects of the spatiotemporal degrees of freedom. The homodyne tomography process…

Quantum Physics · Physics 2022-08-31 Filippus S. Roux