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Wigner Functions for Arbitrary Quantum Systems

https://doi.org/10.1103/physrevlett.117.180401
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Quantum Mechanics: Symmetries
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Quantenmechanik und Gruppentheorie
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A Wigner-function formulation of finite-state quantum mechanics
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The moyal representation for spin
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Phase space methods for finite quantum systems
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Quantum mechanics as a statistical theory
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Spin domains in ground-state Bose–Einstein condensates
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Reconstruction of non-classical cavity field states with snapshots of their decoherence
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Spin–orbit-coupled Bose–Einstein condensates
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Weyl Transformation and the Classical Limit of Quantum Mechanics
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Weyl Transform in Nonrelativistic Quantum Dynamics
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Wigner Method in Quantum Statistical Mechanics
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Wigner distribution function for finite systems
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Generalized coherent states forSU(n) systems
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Superpositions ofSU(3) coherent states via a nonlinear evolution
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Generalized Euler angle parametrization forSU(N)
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Quantum Fourier transform, Heisenberg groups and quasi-probability distributions
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Precision measurement of spin-dependent interaction strengths for spin-1 and spin-287Rb atoms
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ASU(3) Wigner function for three-dimensional systems
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A generalized Wigner function for quantum systems with theSU(2) dynamical symmetry group
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General approach to \mathfrak {SU}(n) quasi-distribution functions
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SU(N)-symmetric quasi-probability distribution functions
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Coherent and Incoherent States of the Radiation Field
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On the Quantum Correction For Thermodynamic Equilibrium
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Relation between atomic coherent-state representation, state multipoles, and generalized phase-space distributions
inferredcites →https://doi.org/10.1103/physreva.48.2479openalex-snapshot
Series representation of quantum-field quasiprobabilities
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Wigner distribution of a general angular-momentum state: Applications to a collection of two-level atoms
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Displaced and squeezed parity operator: Its role in classical mappings of quantum theories
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Discrete Wigner function and quantum-state tomography
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Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential
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Phase-space formulation of quantum mechanics and quantum-state reconstruction for physical systems with Lie-group symmetries
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Direct measurement of the Wigner function by photon counting
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Quantum computers in phase space
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Quantum phase space points for Wigner functions in finite-dimensional spaces
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Discrete phase space based on finite fields
inferredcites →https://doi.org/10.1103/physreva.86.062117openalex-snapshot
Towards a complete and continuous Wigner function for an ensemble of spins or qubits
inferredcites →https://doi.org/10.1103/physreva.90.062132openalex-snapshot
Precision measurements using squeezed spin states via two-axis countertwisting interactions
inferredcites →https://doi.org/10.1103/physrevlett.10.277openalex-snapshot
Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
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Method for Direct Measurement of the Wigner Function in Cavity QED and Ion Traps
inferredcites →https://doi.org/10.1103/physrevlett.80.4361openalex-snapshot
Decoherence, Chaos, and the Correspondence Principle
inferredcites →https://doi.org/10.1103/physrevlett.81.742openalex-snapshot
Spinor Bose Condensates in Optical Traps
inferredcites →https://doi.org/10.1103/revmodphys.76.323openalex-snapshot
Spintronics: Fundamentals and applications
inferredcites →https://doi.org/10.1126/science.269.5221.198openalex-snapshot
Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
inferredcites →https://doi.org/10.1142/s2251158x12000069openalex-snapshot
Quantum Mechanics in Phase Space

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Influence of a Non-Linear Interaction and Kerr Medium on the Emission Spectrum and Entropy Squeezing of Su(1,1) Algebra with Single Qubit
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Orientational Order Parameters for Arbitrary Quantum Systems
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An informationally complete Wigner function for the Tavis–Cummings model
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Influence of a non-linear interaction and Kerr medium on the emission spectrum and entropy squeezing of Su(1,1) algebra with single qubit
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Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
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Negativity volume of the generalized Wigner function as an entanglement witness for hybrid bipartite states
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Universal non-Markovianity detection in hybrid open quantum systems
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On detailed balance in nonadiabatic dynamics: From spin spheres to equilibrium ellipsoids
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Qubit-induced strong Wigner negativity at steady state
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Variational-state quantum metrology
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Use of discrete Wigner functions in the study of a hybrid dissipative system
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The Wigner flow on the sphere
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Quasiprobability distributions for quantum-optical coherence and beyond
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Parity symmetry breaking of spin-j coherent state superpositions in Gaussian noise channel
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Generalized SU (2) covariant Wigner functions and some of their applications
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General phase spaces: from discrete variables to rotor and continuum limits
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Continuous phase spaces and the time evolution of spins: star products and spin-weighted spherical harmonics
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Translations and reflections on the torus: identities for discrete Wigner functions and transforms
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Correspondence rules for Wigner functions over S U ( 3 ) / U ( 2 )
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On the discrete Wigner function for S U ( N )
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Symmetry-adapted decomposition of tensor operators and the visualization of coupled spin systems
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SU(1, 1) covariant s -parametrized maps
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Frame representation of quantum systems with finite-dimensional Hilbert space
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Visualization of correlations in hybrid discrete—continuous variable quantum systems
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Quantum-to-classical transition via single-shot generalized measurements
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PT -symmetry-breaking phase transitions in a Lipkin-Meshkov-Glick dimer
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Subcycle tomography of quantum light
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Visualizing spin degrees of freedom in atoms and molecules
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Quantum invariants and the graph isomorphism problem
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Continuous phase-space representations for finite-dimensional quantum states and their tomography
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Squeezing and slowed quantum decoherence in the double-slit experiment
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Generation of a time-frequency grid state with integrated biphoton frequency combs
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Re-examining a local-realism test by modifying the classical boundary for modular phase-space measurements
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Wigner distribution on a double-cylinder phase space for studying quantum error-correction protocols
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Transition probabilities and transition rates in discrete phase space
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Fast computation of spherical phase-space functions of quantum many-body states
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Time and frequency as quantum continuous variables
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Quantum speed limits in arbitrary phase spaces
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Hybrid nonlocality via atom-photon interactions with and without impurities
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Simple procedure for phase-space measurement and entanglement validation
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Wigner tomography of multispin quantum states
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Measurement of complete and continuous Wigner functions for discrete atomic systems
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Quasiprobability representation of quantum coherence
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Wigner process tomography: Visualization of spin propagators and their spinor properties
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Quasistates and quasiprobabilities
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General approach to quantum mechanics as a statistical theory
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Quantum Kerr oscillators' evolution in phase space: Wigner current, symmetries, shear suppression, and special states
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Dissipative transport of thermalized electrons through a nanodevice
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Dynamic Shear Suppression in Quantum Phase Space
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Nonequilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
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Quantum Entanglement from Classical Trajectories
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Heralded dissipative preparation of nonclassical states in a Kerr oscillator
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Wigner negativity in spin- j systems
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Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
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Steady-state Wigner negativity via parity engineering
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Magic states in the asymmetric quantum Rabi model
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Grand unification of all discrete Wigner functions on d × d phase space
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Wigner distribution, Wigner entropy, and anomalous transport of a generalized Aubry-André model
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Algebraic structure of Fock-state lattices
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Quantum transport property and thermodynamic applications of one-dimensional off-diagonal quasiperiodic system
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Photonic quantum metrology
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Local sampling of the SU(1,1) Wigner function
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Spin nonclassicality via variance
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Visualizing multiqubit correlations using the Wigner function
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Quantum energy teleportation in phase space quantum mechanics
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Star product for qubit states in phase space and star exponentials
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Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics
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Classical Tracking for Quantum Trajectories
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Phase Space Insights: Wigner Functions for Qubits and Beyond
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Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space
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Tunneling Currents in the Hyperbolic Phase Space
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Asymptotic Quantization of a Particle on a Sphere
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On Families of Wigner Functions for N-Level Quantum Systems
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Spectral-Geometric Construction of Bopp Operators for SU(d) Stratonovich–Weyl Phase-Space Maps
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双轴扭曲模型自旋压缩特征时间及量子度量精度
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Неклассичность спина, основанная на дисперсии
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Visualization of correlations in hybrid quantum systems
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Wigner functional theory for quantum optics
inferred← citeshttps://doi.org/10.48550/arxiv.2007.14601openalex-snapshot
Quantum Atom Optics: Theory and Applications to Quantum Technology
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