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Wigner distribution function in physics as opposed to in signal processing
The Wigner quasiprobability distribution, also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville,
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
Topics referred to by the same term
Wigner distribution or Wigner function may refer to: Wigner quasiprobability distribution (what is most commonly intended by term "Wigner function"):
Wigner_distribution
Concept in statistics
A quasiprobability distribution is a mathematical object similar to a probability distribution but which relaxes some of Kolmogorov's axioms of probability
Quasiprobability_distribution
Mathematical tool used in quantum mechanics
quantum states, similar to the Wigner quasiprobability distribution and Kirkwood–Dirac quasiprobability distribution. It was introduced by Henry Margenau
Margenau-Hill quasiprobability distribution
Margenau-Hill_quasiprobability_distribution
Hungarian-American physicist and mathematician (1902–1995)
Wigner energy Wigner lattice Wigner quasiprobability distribution Wigner's classification Wigner's disease Wigner's friend Wigner's theorem Wigner–Eckart theorem
Eugene_Wigner
processing, the polynomial Wigner–Ville distribution is a quasiprobability distribution that generalizes the Wigner distribution function. It was proposed
Polynomial Wigner–Ville distribution
Polynomial_Wigner–Ville_distribution
Kirkwood–Dirac quasiprobability distribution (often abbreviated KD distribution) is a complex-valued generalization of a classical joint probability distribution. It
Kirkwood-Dirac quasiprobability
Kirkwood-Dirac_quasiprobability
Mapping between functions in the quantum phase space
this article provide an overview over the Wigner–Weyl transform, the Wigner quasiprobability distribution, the phase space formulation of quantum mechanics
Wigner–Weyl_transform
Concept in science
negative, although a quasiprobability distribution allows a negative probability, or quasiprobability for some events. These distributions may apply to unobservable
Negative_probability
Computational physics simulation tool
to other quasiprobability distributions. In fact, it can be understood as the Weierstrass transform of the Wigner quasiprobability distribution, i.e. a
Husimi_Q_representation
Quantum mechanical model
of the quasiprobability distribution can be written in closed form. The most widely used of these is for the Wigner quasiprobability distribution. The Wigner
Quantum_harmonic_oscillator
Description of a quantum-mechanical system
integral formulation of quantum mechanics Schrödinger picture Wigner quasiprobability distribution This rule for obtaining probabilities from a state vector
Schrödinger_equation
Society B, 11, (1949), 150–210. Moyal bracket Wigner–Weyl transform Wigner quasiprobability distribution Gani, J. (1998). "Obituary: José Enrique Moyal"
José_Enrique_Moyal
associated to the Wigner quasiprobability distribution by means of the Moyal product. An advantage might be that off-diagonal Wigner functions used in superpositions
Phase-space_wavefunctions
Topics referred to by the same term
mean World Vasectomy Day World Voice Day Wigner-Ville distribution, see Wigner quasiprobability distribution This disambiguation page lists articles associated
WVD
Topic in condensed matter physics
derived from the Boltzmann transport equation combined with Wigner quasiprobability distribution. In quantum chemistry they arise as solutions to chemical
Quantum_hydrodynamics
Quantum state, of opposed conditions
demonstrated with a clear separation between the two Gaussian peaks in the Wigner function. More methods have been proposed to produce larger coherent state
Cat_state
Thermodynamic theorem
allowed, such distributions are unstable and tend to irreversibly seek towards the minimum value of H (towards the Maxwell–Boltzmann distribution). (Note on
H-theorem
Formulation of quantum mechanics
phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix)
Phase-space_formulation
Special class of quantum states
to its one-point and two-point correlation functions. The Wigner quasiprobability distribution of a bosonic Gaussian state is always a classical multivariate
Gaussian_state
characteristics Wigner–Weyl transform Deformation theory Wigner distribution function Modified Wigner distribution function Wigner quasiprobability distribution Negative
Method of quantum characteristics
Method_of_quantum_characteristics
Short "burst" or "envelope" of restricted wave action that travels as a unit
possible. In phase space, this is evident in the pure state Wigner quasiprobability distribution of this wavetrain, whose shape in x and p is invariant as
Wave_packet
Mathematical approach to quantum optics
_{1}}\right).\end{aligned}}} Quasiprobability distribution § Characteristic functions Nonclassical light Wigner quasiprobability distribution Husimi Q representation
Glauber–Sudarshan P representation
Glauber–Sudarshan_P_representation
Phase space used in quantum optics
harmonic oscillator Quasiprobability distribution Husimi Q representation Squeezed coherent state Wigner quasiprobability distribution Leonhardt, Ulf (2005)
Optical_phase_space
Formulation of classical mechanics in terms of Hilbert spaces
Quantum mechanics Phase space formulation of quantum mechanics Wigner quasiprobability distribution Dynamical systems Ergodic theory PhD thesis, Università degli
Koopman–von Neumann classical mechanics
Koopman–von_Neumann_classical_mechanics
British mathematician
optics, shows that the pure quantum states with positive Wigner quasiprobability distribution are the Gaussian ones. Together with PhD students, Hudson
R._L._Hudson
theorem Wigner 3-j symbols Wigner crystal Wigner effect Wigner quasiprobability distribution Wigner–Eckart theorem Wigner–Seitz cell Wigner–Seitz radius
Index_of_physics_articles_(W)
getting rid of non-possible options.[citation needed] The Wigner quasiprobability distribution can be used for a forward model W ( r , u ) = ∬ D < f ~ ∗
Phase space measurement with forward modeling
Phase_space_measurement_with_forward_modeling
Continuous (non-quantized) quantities in quantum information science
observables. These observables establish a phase space on which Wigner quasiprobability distributions can be defined. Quantum measurements on such a system can
Continuous-variable quantum information
Continuous-variable_quantum_information
Concept in statistics
trace quantities without first reconstructing a phase-space quasiprobability distribution. In particular, two density operators satisfy the Parseval-type
Kernel_density_estimation
Classic entropy of a quantum-mechanical density matrix
defined for the Husimi Q representation of the phase-space quasiprobability distribution. The Husimi function is a "classical phase-space" function of
Wehrl_entropy
Interaction of a quantum system with a classical observer
semiclassically relies on the Wigner function, a quasiprobability distribution that can be treated as a probability distribution on phase space in those cases
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Reconstruction of quantum states based on measurements
Risken, H. (1989-09-01). "Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase". Physical
Quantum_tomography
Restricted model of non-universal quantum computation
sampling concerns Gaussian input states, i.e. states whose quasiprobability Wigner distribution function is a Gaussian one. The hardness of the corresponding
Boson_sampling
Interpretation of quantum mechanics
Christopher A. (17 May 2017). "Negativity Bounds for Weyl-Heisenberg Quasiprobability Representations". Foundations of Physics. 47 (8): 1009–1030. arXiv:1703
QBism
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