Unified quantification of nonclassicality and entanglement
arXiv:1401.5222 · doi:10.1103/PhysRevA.89.052302
Abstract
The nonclassicality of single-mode quantum states is studied in relation to the entanglement created by a beam splitter. It is shown that properly defined quantifications -- based on the quantum superposition principle -- of the amounts of nonclassicality and entanglement are strictly related to each other. This can be generalized to the amount of genuine multipartite entanglement, created from a nonclassical state by an N splitter. As a consequence, a single-mode state of a given amount of nonclassicality is fully equivalent, as a resource, to exactly the same amount of entanglement. This relation is also considered in the context of multipartite entanglement and multimode nonclassicality.
6 pages, 2 figures
References in corpus (3)
Cited by in corpus (104)
- Quantum Coherence as a Resource
- Measuring Quantum Coherence with Entanglement
- Quantum enhanced measurements without entanglement
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Converting Nonclassicality into Entanglement
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Operational one-to-one mapping between coherence and entanglement measures
- A resource theory of superposition
- One-shot coherence distillation
- Gaussian quantum resource theories
- Convex geometry of quantum resource quantification
- Operational resource theory of continuous-variable nonclassicality
- Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
- Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
- Conservation relation of nonclassicality and entanglement for Gaussian states in a beam-splitter
- Average coherence and its typicality for random pure states
- Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
- Entanglement Swapping of Two Arbitrarily Degraded Entangled States
- A method for achieving larger enhancement in Four-Wave Mixing via plasmonic path interference effects
- Converting multilevel nonclassicality into genuine multipartite entanglement
- Increasing relative nonclassicality quantified by standard entanglement potentials by dissipation and unbalanced beam splitting
- Operational quantification of continuous-variable quantum resources
- Nonlinearity as a resource for nonclassicality in anharmonic systems
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Quantum Correlations and Global Coherence in Distributed Quantum Computing
- Ordering states with coherence measures
- Quasiprobability distributions for quantum-optical coherence and beyond
- Nonclassicality Invariant of General Two-Mode Gaussian States
- Nonclassical distance in multimode bosonic systems
- Roughness as Classicality Indicator of a Quantum State
- Quantum non-Gaussianity and quantification of nonclassicality
- Probing nonclassicality with matrices of phase-space distributions
- Witnessing the degree of nonclassicality of light
- Interrelation between Partial Coherence and Quantum Correlations
- Quantifying nonclassicality by characteristic functions
- Interplay of nonclassicality and entanglement of two-mode Gaussian fields generated in optical parametric processes
- Quantum Correlations in Nonlocal BosonSampling
- Quantumness of spin-1 states
- Experimental test of contextuality in quantum and classical systems
- Quantifying dynamical coherence with dynamical entanglement
- Single- and two-mode quantumness at a beam splitter
- Quantum Correlations beyond Entanglement and Discord
- Entanglement of quantum circular states of light
- Process output nonclassicality and nonclassicality depth of quantum-optical channels
- Mode-independent quantum entanglement for light
- Measuring coherence of quantum measurements
- Asymptotic state transformations of continuous variable resources
- Generating entanglement with linear optics
- Relation between Quantum Coherence and Quantum Entanglement in Quantum Measurements
- Enhanced estimation of loss in the presence of Kerr nonlinearity
- Unification of quantum resources in tripartite systems
- Quadrature coherence scale driven fast decoherence of bosonic quantum field states
- Stabilization of multi-mode Schrodinger cat states via normal-mode dissipation engineering
- Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field
- Evaluating Single-mode Nonclassicality
- Neural-network approach for identifying nonclassicality from click-counting data
- Many-particle entanglement criterion for superradiant-like states
- Higher order nonclassicalities of finite dimensional coherent states: A comparative study
- Quantum correlations in composite systems
- Transfer of temporal coherence in parametric down-conversion
- Simulation of quantum optics by coherent state decomposition
- How squeezed states both maximize and minimize the same notion of quantumness
- Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
- Quantum photonics with active feedback loops
- Conditional nonclassical field generation in cavity QED
- Detection-device-independent verification of nonclassical light
- Nonclassical steering and the Gaussian steering triangoloids
- Intrinsic upper bound on two-qubit polarization entanglement predetermined by pump polarization correlations in parametric down-conversion
- Quantum coherences of indistinguishable particles
- Deterministic nonclassicality for quantum mechanical oscillators in thermal states
- Quantum-optical channels that output only classical states
- Statistical Benchmarking of Scalable Photonic Quantum Systems
- Nonclassical states from the joint statistics of simultaneous measurements
- Generalized binomial state: Nonclassical features observed through various witnesses and a measure of nonclassicality
- Identifying nonclassicality from experimental data using artificial neural networks
- Entanglement and coherence in a spin-s XXZ system under non-uniform fields
- Nonclassical states that generate zero entanglement with a beam splitter
- Driven Gaussian quantum walks
- Maximum entanglement of formation for a two-mode Gaussian state over passive operations
- Phase Squeezing of Quantum Hypergraph States
- An introductory review on resource theories of generalized nonclassical light
- Noise Effects on Entangled Coherent State Generated via Atom-Field Interaction and Beam Splitter
- Preparation of arbitrary quantum states with regular ~functions
- Dynamics of single-mode nonclassicalities and quantum correlations in the Jaynes-Cummings model
- Homodyne nonclassical area as a nonclassicality indicator
- Comparison of Qubit and Qutrit like Entangled Squeezed and Coherent States of Light
- Wave-particle duality revisited: Neither wave nor particle
- Entanglement of Multi-qudit States Constructed by Linearly Independent Coherent States: Balanced Case
- Quantum-entangled light from localized emitters
- Detecting genuine multipartite entanglement using moments of positive maps
- Can we control the amount of useful nonclassicality in a photon added hypergeometric state?
- Quantum walks and entanglement in cavity networks
- Measuring nonclasicality of single-mode systems
- Entanglement criteria for two strongly interacting ensembles
- Sufficient Wigner Negativity Implies Genuine Multipartite Entanglement
- Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
- Censorship of quantum resources against catalytic account sharing
- Distribution of Gaussian Entanglement in Linear Optical Systems
- Eluding Zeno effect via dephasing and detuning
- Detector entanglement: Quasidistributions for Bell-state measurements
- Preservation of dynamics in coupled cavity system using second order nonlinearity
- Continuity of measurement outcomes
- Tomogram-based quantifiers of nonclassicality dynamics in Kerr and cubic media
- Filter functions for the Glauber-Sudarshan -function regularization