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We introduce a family of criteria to detect quantum non-Gaussian states of a harmonic oscillator, that is, quantum states that can not be expressed as a convex mixture of Gaussian states. In particular we prove that, for convex mixtures of…

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

Gaussian states have played on important role in the physics of continuous-variable quantum systems. They are appealing for the experimental ease with which they can be produced, and for their compact and elegant mathematical description.…

量子物理 · 物理学 2021-10-04 Mattia Walschaers

Recently, a non-Gaussian field, which may be a useful basis for entanglement distillation and efficient quantum teleportation, has been experimentally produced by subtracting a photon from a squeezed Gaussian field. We investigate the…

量子物理 · 物理学 2009-11-10 M. S. Kim , E. Park , P. L. Knight , H. Jeong

We experimentally investigate the non-Gaussian features of the phase-randomized coherent states, a class of states exploited in communication channels and in decoy state-based quantum key distribution protocols. In particular, we…

光学 · 物理学 2012-10-31 Alessia Allevi , Stefano Olivares , Maria Bondani

A quantum state can be written in phase space, but the resulting object is not generally the probability density of a positive stochastic process on ordinary phase space. We spell this out for Wigner dynamics. If a positive phase-space…

量子物理 · 物理学 2026-05-08 Surachate Limkumnerd , Panat Phanthaphanitkul

We theoretically propose and experimentally demonstrate a nonclassicality test of single-mode field in phase space, which has an analogy with the nonlocality test proposed by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Our…

量子物理 · 物理学 2015-06-11 Jiyong Park , Junhua Zhang , Jaehak Lee , Se-Wan Ji , Mark Um , Dingshun Lv , Kihwan Kim , Hyunchul Nha

A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally…

Quantum non-Gaussianity is a key resource for quantum advantage in continuous-variable systems. We introduce a general framework to quantify non-Gaussianity based on correlation generation: two copies of a state become correlated at a…

量子物理 · 物理学 2025-08-28 Oliver Hahn , Ryuji Takagi

We present the experimental investigation of the non-Gaussian nature of some mixtures of Fock states by reconstructing their Wigner function and exploiting two recently introduced measures of non-Gaussianity. In particular, we demonstrate…

量子物理 · 物理学 2013-02-11 Alessia Allevi , Stefano Olivares , Maria Bondani

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is…

量子物理 · 物理学 2009-11-10 Constantin V. Usenko

This review covers recent theoretical and experimental efforts to extend the application of the continuous-variable quantum technology of light beyond "Gaussian" quantum states, such as coherent and squeezed states, into the domain of…

We develop a truncated Hamiltonian method to investigate the dynamics of the $(1+1)d~\phi^4$ theory following quantum quenches. The results are compared to two different semi-classical approaches, the self-consistent Gaussian approximation…

统计力学 · 物理学 2022-01-12 D. Szász-Schagrin , I. Lovas , G. Takács

Non-Gaussian states with Wigner negativity are of particular interest in quantum technology due to their potential applications in quantum computing and quantum metrology. However, how to create such states at a remote location remains a…

According to a classical result due to Hudson, the Wigner function of a pure, continuous variable quantum state is non-negative if and only if the state is Gaussian. We have proven an analogous statement for finite-dimensional quantum…

量子物理 · 物理学 2007-05-23 David Gross

We analyze two two-mode continuous variable separable states with the same marginal states. We adopt the definition of classicality in the form of well-defined positive Wigner function describing the state and find that although the states…

量子物理 · 物理学 2016-04-07 Razieh Taghiabadi , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

We propose and demonstrate an effective mode-filtering technique of non-Gaussian states generated by photon-subtraction. More robust non-Gaussian states have been obtained by removing noisy low frequencies from the original mode spectrum.…

In this work we present the formal background used to develop the methods used in earlier works to extend the truncated Wigner representation of quantum and atom optics in order to address multi-time problems. The truncated Wigner…

量子物理 · 物理学 2015-06-16 L I Plimak , M K Olsen

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

The truncated Wigner approximation is an established approach that describes the dynamics of weakly interacting Bose gases beyond the mean-field level. Although it allows a quantum field to be expressed by a stochastic c-number field, the…

原子物理 · 物理学 2022-02-02 Christopher D. Mink , Axel Pelster , Jens Benary , Herwig Ott , Michael Fleischhauer
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