Quasiprobability representation of quantum coherence
arXiv:1803.04747 · doi:10.1103/PhysRevA.97.062327
Abstract
We introduce a general method for the construction of quasiprobability representations for arbitrary notions of quantum coherence. Our technique yields a nonnegative probability distribution for the decomposition of any classical state. Conversely, quantum phenomena are certified in terms of signed distributions, i.e., quasiprobabilities, and a residual component unaccessible via classical states. Our unifying method combines well-established concepts, such as phase-space distributions in quantum optics, with resources of quantumness relevant for quantum technologies. We apply our approach to analyze various forms of quantum coherence in different physical systems. Moreover, our framework renders it possible to uncover complex quantum correlations between systems, for example, via quasiprobability representations of multipartite entanglement.
arXiv commentrevised version
References in corpus (71)
- Quantum entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- Operational Resource Theory of Coherence
- Negative Quasi-Probability as a Resource for Quantum Computation
- Negativity and contextuality are equivalent notions of nonclassicality
- Polarization squeezing and continuous-variable polarization entanglement
- Quantum inseparability as local pseudomixture
- Entanglement with Negative Wigner Function of Three Thousand Atoms Heralded by One Photon
- A quantitative theory of coherent delocalization
- Estimating outcome probabilities of quantum circuits using quasiprobabilities
- Experimental multiparticle entanglement dynamics induced by decoherence
- Direct measurement of the Wigner function by photon counting
- A four-party unlockable bound-entangled state
- Multipartite Entanglement Witnesses
- Quantum processes which do not use coherence
- Wigner Functions for Arbitrary Quantum Systems
- Continuous Variable Entanglement and Squeezing of Orbital Angular Momentum States
- Experimental determination of a nonclassical Glauber-Sudarshan P function
- Classicality of spin states
- Necessary and sufficient conditions for bipartite entanglement
- Framed Hilbert space: hanging the quasi-probability pictures of quantum theory
- A General Theory of Phase-Space Quasiprobability Distributions
- Entanglement and Wigner function negativity of multimode non-Gaussian states
- Nonclassical correlation properties of radiation fields
- Experimental bound entanglement in a four-photon state
- Probing the negative Wigner function of a pulsed single photon point by point
- Quasiprobabilities for Multipartite Quantum Correlations of Light
- Nonclassicality filters and quasiprobabilities
- Convex ordering and quantification of quantumness
- Gaussian phase-space representations for fermions
- Direct Sampling of Negative Quasiprobabilities of a Squeezed State
- Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects
- Quasiprobability representations of quantum mechanics with minimal negativity
- Quasiprobability and Probability Distributions for Spin 1/2 States
- Representation of entanglement by negative quasi-probabilities
- Revealing nonclassicality beyond Gaussian states via a single marginal distribution
- Nonnegative subtheories and quasiprobability representations of qubits
- Determination of entangled quantum states of a trapped atom
- Quantum Process Nonclassicality
- Quantum polarization tomography of bright squeezed light
- Quantum Correlations and Global Coherence in Distributed Quantum Computing
- Characterizing maximally singular phase-space distributions
- Incomplete Detection of Nonclassical Phase-Space Distributions
- Conditional Hybrid Nonclassicality
- Testing quantum nonlocality by generalized quasiprobability functions
- Quantum Correlations in Nonlocal BosonSampling
- Continuous sampling of the squeezed state nonclassicality
- Atomic nonclassicality quasiprobabilities
- Local sampling of the Wigner function at telecom wavelength with loss-tolerant detection of photon statistics
- Entanglement quasiprobabilities of squeezed light
- Geometrical picture of photocounting measurements
- Quantum polarization characterization and tomography
- Negativity Bounds for Weyl-Heisenberg Quasiprobability Representations
- Quantum correlations in composite systems
- Operational quasiprobabilities for qudits
- Quantum Fourier transform, Heisenberg groups and quasiprobability distributions
- Quantum coherences of indistinguishable particles
- Entanglement verification of noisy N00N states
- Phase space methods for Majorana fermions
- Time-dependent quantum correlations in phase space
- Separable and Inseparable Quantum Trajectories
- Grassmann Phase Space Methods for Fermions. II. Field Theory
- Verifying bound entanglement of dephased Werner states
- Grassmann phase-space methods for fermions: uncovering classical probability structure
- Quasiprobability Based Criterion for Classicality and Separability of States of Spin-1/2 Particles
- Quasiprobability methods for multimode conditional optical gates
- Weak Value, Quasiprobability and Bohmian Mechanics
- Exploring boundaries of quantum convex structures: special role of unitary processes
Cited by in corpus (38)
- Overview of the phase space formulation of quantum mechanics with application to quantum technologies
- New Phase Space Formulations and Quantum Dynamics Approaches
- Phase-space inequalities beyond negativities
- Quantum Correlations and Global Coherence in Distributed Quantum Computing
- Quasiprobability distributions for quantum-optical coherence and beyond
- Probing nonclassicality with matrices of phase-space distributions
- Quantifying quantum coherence in polariton condensates
- Nonclassicality detection from few Fock-state probabilities
- Experimental certification of nonclassicality via phase-space inequalities
- Numerical construction of multipartite entanglement witnesses
- Experimental entanglement characterization of two-rebit states
- Quasistates and quasiprobabilities
- Experimental Reconstruction of Entanglement Quasiprobabilities
- Dual form of the phase-space classical simulation problem in quantum optics
- Detector-Agnostic Phase-Space Distributions
- Optical experiment to test negative probability in context of quantum-measurement selection
- Identifying nonclassicality from experimental data using artificial neural networks
- Photon-number resolution with microwave Josephson photomultipliers
- Censorship of Quantum Resources in Quantum Networks
- Entanglement-assisted quantum speedup: Beating local quantum speed limits
- Kenfack Zyczkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit
- Tight inequalities for nonclassicality of measurement statistics
- Unbreakable and breakable quantum censorship
- Entanglement of particles versus entanglement of fields: independent quantum resources
- Nonclassical correlations of radiation in relation to Bell nonlocality
- Quantifying athermality and quantum induced deviations from classical fluctuation relations
- Time correlations in atmospheric quantum channels
- Visualization of correlations in hybrid quantum systems
- Noise-adaptive test of quantum correlations with quasiprobability functions
- On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems
- Detector entanglement: Quasidistributions for Bell-state measurements
- Censorship of quantum resources against catalytic account sharing
- Nonclassical photocounting statistics with a single on-off detector
- Quantum speedup from nonclassical polarization
- Latent optical nonclassicality of conditionally prepared states
- Frame-dependent coherence of a quantum state
- Circular-beam approximation for quantum channels in a turbulent atmosphere
- Exploring entanglement resource in Si quantum dot systems with operational quasiprobability approach