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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

We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of "classical states". The latter are identified with those…

Quantum Physics · Physics 2023-10-20 Arsen Khvedelidze , Astghik Torosyan

In a recent Letter (Phys. Rev. Lett. 109, 040401 (2012)), G. Puentes, N. Hermosa and J. P. Torres report a scheme for extracting higher-order weak values by using orbital-angular momentum states as pointer states. They claim that such weak…

Quantum Physics · Physics 2013-08-22 A. K. Pan , P. K. Panigrahi

The mathematical description of the quantum harmonic oscillator is essentially based on the Gaussian function. In the case of a quantum oscillator with finite-dimensional Hilbert space, the position space consists in a finite number of…

Mathematical Physics · Physics 2015-12-09 Nicolae Cotfas

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…

Statistics Theory · Mathematics 2007-06-13 L. M. Artiles , R. D. Gill , M. I. Guta

We investigate theoretically the deterministic generation of quantum states with negative Wigner functions, by using giant non-linearities due to collisional interactions between Rydberg polaritons. The state resulting from the polariton…

Using the quadrature bases that incorporate the spatiotemporal degrees of freedom, we develop a Wigner functional theory for quantum optics, as an extension of the Moyal formalism. Since the spatiotemporal quadrature bases span the complete…

Quantum Physics · Physics 2020-06-19 Filippus S. Roux , Nicolas Fabre

According to Wigner theorem, transformations of quantum states which preserve the probabilities are either unitary or antiunitary. This short communication presents an elementary proof of this theorem that significantly departs from the…

Quantum Physics · Physics 2013-09-18 Amaury Mouchet

The Majorana stellar representation is used to characterize spin states that have a maximally negative Wigner quasiprobability distribution on a spherical phase space. These maximally Wigner-negative spin states generally exhibit a partial…

Quantum Physics · Physics 2023-06-21 Jack Davis , Robie Hennigar , Robert B. Mann , Shohini Ghose

Conditional von Neumann entropy is an intriguing concept in quantum information theory. In the present work, we examine the effect of global unitary operations on the conditional entropy of the system. We start with the set containing…

Quantum Physics · Physics 2018-06-01 Subhasree Patro , Indranil Chakrabarty , Nirman Ganguly

Quantum-mechanically correlated (entangled) states of many particles are of interest in quantum information, quantum computing and quantum metrology. Metrologically useful entangled states of large atomic ensembles have been experimentally…

Atomic Physics · Physics 2015-08-14 Robert McConnell , Hao Zhang , Jiazhong Hu , Senka Cuk , Vladan Vuletic

Exact nonlinear stationary solutions of the one-dimensional Wigner and Wigner-Poisson equations in the terms of the Wigner functions that depend not only on the energy but also on position are presented. In this way, the…

Quantum Physics · Physics 2009-11-13 F. Haas , P. K. Shukla

We consider the Wigner function evolution of Fock states $|n\rangle$ linearly coupled to a Markovian bath of oscillators. In the absence of environmental coupling, apparent ``quantumness'' increases with $n$, but the presence of any…

Quantum Physics · Physics 2010-07-28 Andrew C. McClung , Tyler E. Keating , Adam T. C. Steege , Arjendu K. Pattanayak

We present a self-contained formulation of spin-free nonrelativistic quantum mechanics that makes no use of wavefunctions or complex amplitudes of any kind. Quantum states are represented as ensembles of real-valued quantum trajectories,…

Quantum Physics · Physics 2015-06-03 Jeremy Schiff , Bill Poirier

Quantum states of light having a Wigner function with negative values represent a key resource in quantum communication and quantum information processing. Here, we present the generation of such a state at the telecommunication wavelength…

Quantum Physics · Physics 2017-08-04 Christoph Baune , Jaromir Fiurasek , Roman Schnabel

Wigner negativity and genuine multipartite entanglement (GME) are key nonclassical resources that enable computational advantages and broader quantum-information tasks. In this work, we prove two theorems for multimode continuous-variable…

Quantum Physics · Physics 2025-10-31 Lin Htoo Zaw , Jiajie Guo , Qiongyi He , Matteo Fadel , Shuheng Liu

In the spirit of Quantum Non-Demolition Measurements, we show that exploiting suitable vibronic couplings and repeatedly measuring the atomic population of a confined ion, it is possible to distill center of mass vibrational states with…

Quantum Physics · Physics 2018-07-24 B. Militello , A. Messina

The weak measurement (WM) and quantum measurement reversal (QMR) are crucial in protecting the collapse of quantum states. The idea of WM and QMR has recently been used to protect and enhance quantum correlations and universal quantum…

Quantum Physics · Physics 2025-09-03 Jai Lalita , Subhashish Banerjee

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…

Quantum Physics · Physics 2009-11-10 Constantin V. Usenko

The domain of application of quantization methods is traditionally restricted to smooth classical observables. We show that the coherent states or "anti-Wick" quantization enables us to construct fairly reasonable quantum versions of…

Quantum Physics · Physics 2008-12-03 Biswajit Chakraborty , Jean Pierre Gazeau , Ahmed Youssef