Peres-Horodecki separability criterion for continuous variable systems

Abstract

The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be necessary and sufficient condition for separability.

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• Inseparability criterion for continuous variable systems

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• On the P-representable subset of all bipartite Gaussian separable states
• Does inflation squeeze cosmological perturbations?
• Detecting entanglement with non-hermitian operators
• Multimode Squeezed State for Reconfigurable Quantum Networks at Telecommunication Wavelengths
• Resonance-dominant optomechanical entanglement in open quantum systems
• Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard model
• Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation
• How much quantum noise of amplifiers is detrimental to entanglement
• Entanglement of a Quantum Optical Elliptic Vortex
• The quantum-classical transition in thermally seeded parametric downconversion
• Relating spin squeezing to multipartite entanglement criteria for particles and modes
• Generation of pulsed bipartite entanglement using four-wave mixing
• Probing Spontaneous Wave-Function Collapse with Entangled Levitating Nanospheres
• Is nonclassicality-breaking the same thing as entanglement-breaking?
• Gaussian Discriminating Strength
• Uncertainty Relations for coarse-grained measurements: an overview
• Creating mirror-mirror quantum correlations in optomechanics
• Quantum Nondemolition Gate Operations and Measurements in Real Time on Fluctuating Signals
• Chirality-induced one-way quantum steering between two waveguide-mediated ferrimagnetic microspheres
• Detecting Gaussian entanglement via extractable work
• Lower bounds on the entanglement of formation for general Gaussian states
• Mirror-Field Entanglement in a Microscopic model for Quantum Optomechanics
• Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
• Iterations of nonlinear entanglement witnesses
• Entangled light in transition through the generation threshold
• Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous variable systems
• Separability, entanglement and full families of commuting normal matrices
• Spatially Overlapped Partners in Quantum Field Theory
• Conditioning two-party quantum teleportation within a three-party quantum channel
• Key distillation from Gaussian states by Gaussian operations
• Quantum Exciton-Polariton Networks through Inverse Four-Wave Mixing
• Introduction to quantum radar
• Bright continuous-variable entanglement from the quantum optical dimer
• Real-time observation of picosecond-timescale optical quantum entanglement toward ultrafast quantum information processing
• Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
• Non-Gaussian entanglement in gravitating masses: the role of cumulants
• Dynamics of quantum entanglement in Gaussian open systems
• Entanglement structure of quantum fields through local probes
• Full quantum state reconstruction of symmetric two-mode squeezed thermal states via spectral homodyne detection
• Enhanced entanglement of two optical modes in optomechanical systems via an optical parametric amplifier
• A pulsed source of continuous variable polarization entanglement
• Entanglement formation in continuous-variable random quantum networks
• Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
• Entanglement of two atomic samples by quantum non-demolition measurements
• Bound entanglement in thermalized states and black hole radiation
• Reflected Entropy in AdS${}_3$/WCFT
• Non-equilibrium quantum phase transition via entanglement decoherence dynamics
• Multipartite entanglement in a microwave frequency comb
• Non-classical correlations in quantum mechanics and beyond
• Entanglement conditions for multi-mode states
• Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field
• Dissipative evolution of quantum Gaussian states
• Experimental generation of tripartite polarization entangled states of bright optical beams
• Determining stationary-state quantum properties directly from system-environment interactions
• Emergence and enhancement of feedback control induced quantum entanglement
• Experimental measurement of the collectibility of two-qubit states
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• Continuous-Variable Entangled States of Light carrying Orbital Angular Momentum
• Two-mode Bose gas: Beyond classical squeezing
• Efficient entanglement distillation without quantum memory
• Higher-order nonclassical effects in fluctuating-loss channels
• Propagation-induced entanglement revival
• Entangling Excitons with Microcavity Photons
• Deterministic distribution of orbital angular momentum multiplexed continuous-variable entanglement and quantum steering
• Evolution of twin-beam in active optical media
• Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables
• All phase-space linear bosonic channels are approximately Gaussian dilatable
• Entanglement storage in atomic ensembles
• Extendibility of bosonic Gaussian states
• Multipartite Entanglement Criterion from Uncertainty Relations
• Asymmetric quantum channel for quantum teleportation
• Nonclassicality of coherent states: Entanglement of joint statistics
• Quantumness of Gaussian Discord: Experimental Evidence and Role of System-Environment Correlations
• Multi-channel entanglement distribution using spatial multiplexing from four-wave mixing in atomic vapor
• Entanglement between smeared field operators in the Klein-Gordon vacuum
• Quantum dynamics and entanglement in coherent transport of atomic population
• Multi-mode entanglement of N harmonic oscillators coupled to a non-Markovian reservoir
• Nonexistence of Entanglement Sudden Death in High NOON States
• Triplet-like correlation symmetry of continuous variable entangled states
• Tripartite quantum entanglement with squeezed optomechanics
• Many-particle entanglement criterion for superradiant-like states
• Vacuum as a less hostile environment to entanglement
• Non-linear and quantum optics of a type II OPO containing a birefringent element Part 2 : bright entangled beams generation
• Continuous-variable entanglement in a two-mode lossy cavity: an exact solution
• Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability
• Entanglement of a two-mode squeezed state in a Gaussian environment
• Entropy-power uncertainty relations : towards a tight inequality for all Gaussian pure states
• Entanglement of Coarse Grained Quantum Field in the Expanding Universe
• Quantum teleportation through atmospheric channels
• Entanglement Generation Between Two Mechanical Resonators in Two Optomechanical Cavities
• Dynamical Gaussian quantum steering in optomechanics
• Entanglement of mesoscopic systems
• Characterization and quantification of symmetric Gaussian state entanglement through a local classicality criterion
• Entanglement detection with trace polynomials
• Time-of-arrival correlations
• Entanglement in open quantum dynamics
• Correlations in photon-numbers and integrated intensities in parametric processes involving three optical fields
• Squeezing and entanglement in continous variable systems
• Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
• Number-phase entanglement and Einstein-Podolsky-Rosen steering
• Stationary quantum entanglement between a massive mechanical membrane and a low frequency LC circuit
• Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
• Time dependence of quantum entanglement in the collision of two particles
• Entanglement oscillation and survival induced by non-Markovian decoherence dynamics of entangled squeezed-state
• Quantum Entanglement at High Temperatures? II. Bosonic Systems in Nonequilibrium Steady State
• Ghost imaging with intense fields from chaotically-seeded parametric downconversion
• Dissipative Entanglement of Quantum Spin Fluctuations
• Demonstration of reversible phase-insensitive optical amplifier
• Hierarchies of multipartite entanglement for continuous-variable states
• Spin-orbit-coupled quantum memory of a double quantum dot
• Nonlinear cross-Kerr quasiclassical dynamics
• Squeezed states of light after high-harmonic generation in excited atomic systems
• Entanglement dynamics of bipartite system in squeezed vacuum reservoirs
• Manipulation of Multimode Squeezing in a Coupled Waveguide Array
• Discrete Wigner distribution for two qubits: a characterization of entanglement properties
• Role of many-body entanglement in decoherence processes
• What does it mean for half of an empty cavity to be full?
• Entanglement between atomic condensates in an optical lattice: effects of interaction range
• Tripartite correlations over two octaves from cascaded harmonic generation
• Dissipative phase transitions in optomechanical systems
• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• Quantum synchronization and entanglement of indirectly coupled mechanical oscillators in cavity optomechanics: a numerical study
• Dissipation-induced collective advantage of a quantum thermal machine
• Time-separated entangled light pulses from a single-atom emitter
• Demonstration of a fully tuneable entangling gate for continuous-variable one-way quantum computation
• Entanglement in two-mode continuous variable open quantum systems
• Mechanical Entanglement via Detuned Parametric Amplification
• Entanglement of two harmonic modes coupled by angular momentum
• Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
• Broadcasting of continuous variable entanglement
• Quantum Fluctuations in Mesoscopic Systems
• Non-linear and quantum optics of a type II OPO containing a birefringent element Part 1: Classical operation
• Continuous variable entanglement by radiation pressure
• Exceptional point induced quantum phase synchronization and entanglement dynamics in mechanically coupled gain-loss oscillators
• Controllable Gaussian-qubit interface for extremal quantum state engineering
• Entanglement of Solitons in the Frenkel-Kontorova Model
• Quantum to classical transition and entanglement sudden death in Gaussian states under local heat bath dynamics
• Vector optomechanical entanglement
• Violation of Bell inequalities in an analogue black hole
• Non-Gaussianity and entropy-bounded uncertainty relations: Application to detection of non-Gaussian entangled states
• Quantum optomechanics of a multimode system coupled via photothermal and radiation pressure force
• Measurement-device-independent entanglement detection for continuous-variable systems
• Multiqubit entanglement and quantum phase gates with epsilon-near-zero plasmonic waveguides
• Quantum metrology with a continuous-variable system
• Continuous variable polarization entanglement, experiment and analysis
• Quantum entanglement in a non-commutative system
• Maximum tolerable excess noise in continuous-variable quantum key distribution and improved lower bound on two-way capacities
• Non-divisibility vs backflow of information in understanding revivals of quantum correlations for continuous-variable systems interacting with fluctuating environments
• Preparation and Verification of Two-Mode Mechanical Entanglement Through Pulsed Optomechanical Measurements
• Entanglement properties of degenerate four-wave mixing of matter-waves in a periodic potential
• The Quantum Separability Problem for Gaussian States
• Williamson theorem in classical, quantum, and statistical physics
• Entangling Two Bose-Einstein Condensates by Stimulated Bragg Scattering
• Missing data outside the detector range: application to continuous variable entanglement verification and quantum cryptography
• Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
• Temperature estimation of an entangled pair of trapped ions
• Information Geometry of Quantum Entangled Gaussian Wave-Packets
• Detecting the inseparability and distillability of continuous variable states in Fock space
• Entanglement generation in harmonic chains: tagging by squeezing
• Tight Bounds for the Entanglement of Formation of Gaussian States
• Entanglement control in coupled two-mode boson systems
• On the discrimination between classical and quantum states
• Transport of Correlations in a Harmonic Chain
• Partial scaling transform of multiqubit states as a criterion of separability
• Thermal equilibrium of two quantum Brownian particles
• The volume of Gaussian states by information geometry
• Quantum correlations beyond entanglement in a double-cavity opto-mechanical system
• Two-boson quantum interference in time
• Passing quantum correlations to qubits using any two-mode state
• Creation of Two-Mode Squeezed States in Atomic Mechanical Oscillators
• Gaussian local unitary equivalence of $n$-mode Gaussian states and Gaussian transformations by local operations with classical communication
• Entanglement sharing with separable states
• Displacement-enhanced entanglement distillation of single-mode-squeezed entangled states
• Entanglement enhancement through multi-rail noise reduction for continuous-variable measurement-based quantum information processing
• Entanglement of mixed macroscopic superpositions: an entangling-power study
• Entanglement scaling in fermion chains with a localization-delocalization transition and inhomogeneous modulations
• Distinguishable consequence of classical gravity on quantum matter
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics
• Composite Cluster States and Alternative Architectures for One- Way Quantum Computation
• Spatial multipartite entanglement and localization of entanglement
• Nonclassical steering and the Gaussian steering triangoloids
• Nonlocality of Two-Mode Squeezing with Internal Noise
• Bistability-assisted Mechanical Squeezing and Entanglement
• Stabilizing entanglement in two-mode Gaussian states
• Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics
• Certifiable Lower Bounds of Wigner Negativity Volume and Non-Gaussian Entanglement with Conditional Displacement Gates
• Statistical mechanics of entanglement mediated by a thermal reservoir I
• Bounds for entanglement of formation of two mode squeezed thermal states
• Symmetry-resolved entanglement in fermionic systems with dissipation
• Generation and structuring of multipartite entanglement in Josephson parametric system
• Analysis of a continuous-variable quadripartite cluster state from a single optical parametric oscillator
• Operational Gaussian Schmidt-Number Witnesses
• Tight bounds for private communication over bosonic Gaussian channels based on teleportation simulation with optimal finite resources
• Continuous variables approach to entanglement creation and processing
• Enhancement of entanglement in distant micromechanical mirrors using parametric interactions
• Impact of relativity on particle localizability and ground state entanglement
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• Local observables for entanglement witnesses
• Uncertainty relations for characteristic functions
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Quantum-correlated motion and heralded entanglement of distant optomechanically coupled objects
• Interfacing nuclear spins in quantum dots to cavity or traveling-wave fields
• Entanglement generation in double-$\Lambda$ system
• Affecting Non-Markovian behaviour by changing bath structures
• Separability for lattice systems at high temperature
• Entanglement in Resonance Fluorescence
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• Entanglement of two distant Bose-Einstein condensates by detection of Bragg-scattered photons
• Quantum steering for continuous variable in de Sitter space
• General class of continuous variable entanglement criteria
• Quantum thermodynamics of two bosonic systems
• Zero supermode-based multipartite entanglement in ${\chi }^{(2)}$ nonlinear waveguides arrays
• Experimental quantification of the entanglement of noisy twin beams
• Semiclassical Wigner distribution for two-mode entangled state
• Teleportation-based collective attacks in Gaussian quantum key distribution
• On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
• Broadband complex two-mode quadratures for quantum optics
• Essentially All Gaussian Two-Party Quantum States are a priori Nonclassical but Classically Correlated
• Linear optical scheme to demonstrate genuine multipartite entanglement for single-particle W states
• Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
• Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
• Environment induced entanglement in many-body mesoscopic systems
• No-activation theorem for Gaussian nonclassical correlations by Gaussian operations
• Gaussian intrinsic entanglement
• Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers
• The influence of the Earth's curved spacetime on Gaussian quantum coherence
• Nonreciprocal Microwave-Optical Entanglement in Kerr-Modified Cavity Optomagnomechanics
• Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions
• Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
• Concurrent spin squeezing and light squeezing in an atomic ensemble
• Macroscopic quantum entanglement between an optomechanical cavity and a continuous field in presence of non-Markovian noise
• Entanglement in an expanding toroidal Bose-Einstein condensate
• Entanglement dynamics of coupled quantum oscillators in independent nonMarkovian baths
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Are all Gaussian states also cluster states? Essential diagnostic tools for continuous-variable one-way quantum computing
• A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications
• Random coding for sharing bosonic quantum secrets
• User-defined quantum key distribution
• Generalized Entanglement Measure for Continuous Variable Systems
• Ion trap analogue of particle creation in black holes and cosmology
• Entangling the whole by beam splitting a part
• Quantum-optical channels that output only classical states
• Amendable Gaussian channels:restoring entanglement via a unitary filter
• Continuous variable entanglement in open quantum dynamics
• Generalized uncertainty relations and entanglement dynamics in quantum Brownian motion models
• Quadrature entanglement and photon-number correlations accompanied by phase-locking
• Quantum teleportation between nanomechanical modes
• Tools for detecting entanglement between different degrees of freedom in quadrature squeezed cylindrically polarized modes
• Mode transformations and entanglement relativity in bipartite gaussian states
• Effect of incoherent pump on two-mode entanglement in optical parametric generation
• Degradation of continuous variable entanglement in a phase-sensitive environment
• Qubit portrait of the photon-number tomogram and separability of two-mode light states
• Nonclassicality of noisy quantum states
• Near-term Efficient Quantum Algorithms for Entanglement Analysis
• Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
• Non-classical correlations in a two-mode optomechanical system
• Entanglement Structures in Quantum Field Theories II: Distortions of Vacuum Correlations Through the Lens of Local Observers
• Entanglement in Gaussian matrix-product states
• High-Purity Entanglement of Hot Propagating Modes Using Nonreciprocity
• How well can we guess the outcome of measurements of non-commuting observables?
• Quantum State Tomography in a Third-Order Integrated Optical Parametric Oscillator
• Quantum correlation of light scattered by disordered media
• Nonclassicality in off-resonant Raman process
• Continuous-variable multipartite unlockable bound entangled Gaussian states
• Verifying bound entanglement of dephased Werner states
• Hydrogenic entanglement
• Characterizing coherence with quantum observables
• Entanglement of microwave and optical fields using electrical capacitor loaded with plasmonic graphene waveguide
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
• Exploring entanglement in open cavity parametric oscillators: from triply to doubly resonant cavities
• Gaussian Continuous-Variable Isotropic State
• Analytic solution of the separability criterion for continuous variable systems
• Entropic characterization of Separability in Gaussian states
• Manipulation of single-photon states encoded in transverse spatial modes: possible and impossible tasks
• Gaussian entanglement of symmetric two-mode Gaussian states
• Exceptional-point-assisted entanglement, squeezing, and reset in a chain of three superconducting resonators
• Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates
• Generation of Coherence via Gaussian Measurements
• The characteristic function of optical evolution
• Squeezed state evolution and entanglement in lossy coupled resonator optical waveguides
• Entanglement properties of photon-magnon crystal from nonlinear perspective
• Quantum Brownian motion of multipartite systems and their entanglement dynamics
• Improving the optomechanical entanglement and cooling by photothermal force
• Boosting Entanglement Between Exciton-Polaritons with On-Off Switching of Josephson Coupling
• Preparational Uncertainty Relations for $N$ Continuous Variables
• Verifying the security of a continuous variable quantum communication protocol via quantum metrology
• Fast state and trap rotation of a particle in an anisotropic potential
• Preparation of bipartite bound entangled Gaussian states in quantum optics
• Separability criteria for continuous variable systems
• Generating coherence and entanglement with a finite-size atomic ensemble in a ring cavity
• Characterization of quantum and classical correlations in the Earth curved space-time
• Driven optomechanical systems for mechanical entanglement distribution
• Relative entropic uncertainty relation for scalar quantum fields
• Separability and entanglement of four-mode Gaussian states
• Different operational meanings of continuous variable Gaussian entanglement criteria and Bell inequalities
• Characterization of the entanglement of two squeezed states
• Determining the squeezing in multimode fields using nonlocal quantum probes
• Unruh-DeWitt detectors as mirrors: Dynamical reflectivity and Casimir effect
• Entangled Qubits in a non-Gaussian Quantum State
• Demonstrating various quantum effects with two entangled laser beams
• Strong subadditivity inequality for quantum entropies and four-particle entanglement
• Manipulation of nanomechanical resonator via shaking optical frequency
• A quantum correlated twin atom laser from a Bose-Hubbard system
• Rényi formulation of entanglement criteria for continuous variables
• Entanglement negativity in de Sitter biverse from Stringy Axionic Bell pair: An analysis using Bunch-Davies vacuum
• Design of the coherent diffusive photon gun for generating non-classical states
• Genuine non-Gaussian entanglement of light and quantum coherence for an atom from noisy multiphoton spin-boson interactions
• Conversion of Gaussian states under incoherent Gaussian operations
• Production of genuine multimode entanglement in circular waveguides with long-range interactions
• Unified framework to determine Gaussian states in continuous variable systems
• Entanglement and Impropriety
• Gaussian Rényi-2 correlations in a nondegenerate three-level laser
• Dynamical evolution of quantum oscillators towards equilibrium
• Realignment Entanglement Criterion for Continuous Bipartite Symmetric Quantum States
• Symmetry resolution of the computable cross-norm negativity of two disjoint intervals in the massless Dirac field theory
• Exchangeable, stationary and entangled chains of Gaussian states
• Mixed state localizable entanglement for continuous variables
• Detection of bound entanglement in continuous variable systems
• Certification of non-Gaussian Einstein-Podolsky-Rosen Steering
• Atom-photon, two-mode entanglement and two-mode squeezing in the presence of cross-Kerr nonlinearity
• Teleportation and Entanglement Swapping of Continuous Quantum Variables of Microwave Radiation
• Phase effects in coherently-stimulated down-conversion with a quantized pump field
• Complete conditions for legitimate Wigner distributions
• Entanglement without Dissipation: A Touchstone for an exact Comparison of Entanglement Measures
• Maximizing genuine multipartite entanglement of N mixed qubits
• Dynamical paths and universality in continuous variables open systems
• Non-separability of Physical Systems as a Foundation of Consciousness
• Microwave quantum illumination with correlation-to-displacement conversion
• Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals
• Phase-space quantum profile of Pöschl-Teller two-level systems
• Tripartite and bipartite entanglement in continuous-variable tripartite systems
• Pulsed quantum continuous-variable optoelectromechanical transducer
• Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
• Maximum entanglement of formation for a two-mode Gaussian state over passive operations
• Entanglement and nonlocality of one- and two-mode combination squeezed state
• Classical Light Sources with Tunable Temporal Coherence and Tailored Photon Number Distributions
• Raman Modes Non-classicality through Entangled Photons Coupling to Plasmonic Modes
• A Computable Criterion for Partial Entanglement in Continuous Variable Quantum Systems
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Effects of mismatched transmissions on two-mode squeezing and EPR correlations with a slow light medium
• Entanglement in the Bogoliubov vacuum
• On the infeasibility of entanglement generation in Gaussian quantum systems via classical control
• Analog de Sitter universe in quantum Hall systems with an expanding edge
• Accessing continuous-variable entanglement witnesses with multimode spin observables
• Quantifications for multi-mode entanglement
• Mutual Preservation of Entanglement
• Quantum memory for Rindler supertranslations
• Geometry on the manifold of Gaussian quantum channels
• Optimal entanglement witnesses in a split spin-squeezed Bose-Einstein condensate
• Effects of Quadratic Optomechanical Coupling on Bipartite Entanglements, Mechanical Ground-State Cooling and Squeezing in an Electro-Optomechanical System
• Entanglement of bosonic modes of nonplanar molecules
• Entanglement conditions for tripartite systems via indeterminacy relations
• Locally optimal control of continuous variable entanglement
• Stabilizable Gaussian states
• Inseparability Criterion Using Higher-Order Schrödinger-Robertson Uncertainty Relation
• Gaussian intrinsic entanglement: An entanglement quantifier based on secret correlations
• Counterpropagating continuous variable entangled states in lossy coupled-cavity optical waveguides
• Improved quantum correlations in second harmonic generation with a squeezed pump
• Cooling and entanglement of multimode graphene resonators via vacuum fluctuations
• Implementable Hybrid Entanglement Witness
• Squeezing of primordial gravitational waves as quantum discord
• Dynamical Gaussian state transfer with quantum error correcting architecture
• Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states
• Gaussian Operations and Privacy
• Quench dynamics of Rényi negativities and the quasiparticle picture
• Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum
• Continuous-variable square-ladder cluster states in a microwave frequency comb
• Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses
• Gaussian entanglement witness and refined Werner-Wolf criterion for continuous variables
• Motional entanglement of remote optically levitated nanoparticles
• Experimental realization of an analog of entanglement between two Brownian particles
• Einstein-Podolsky-Rosen-like separability indicators for two-mode Gaussian states
• Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
• A simple way to incorporate loss when modelling multimode entangled state generation
• Robustness of spatial Penning trap modes against environment-assisted entanglement
• Propagation properties and limitations on the attainable entanglement in a driven harmonic chain
• Evolution of two-mode quantum states under a dissipative environment: which quantum resource survives better, squeezing or entanglement?
• Entanglement properties of a measurement-based entanglement distillation experiment
• Classical and Quantum Causal Interventions
• Disentanglement and Decoherence without dissipation at non-zero temperatures
• Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Incoherent Gaussian equivalence of $m-$mode Gaussian states
• Experimental characterization of the Gaussian state of squeezed light obtained via single-passage through an atomic vapor
• Squeezing Limit of the Josephson Ring Modulator as a Non-Degenerate Parametric Amplifier
• Constraints on Gaussian Error Channels and Measurements for Quantum Communication
• Stationary entanglement of photons and atoms in a high-finesse resonator
• Higher-order EPR correlations and inseparability conditions for continuous variables
• Non-Gaussian two-mode squeezing and continuous variable entanglement of linearly and circularly polarized light beams interacting with cold atoms
• Tripartite separability conditions exponentially violated by Gaussian states
• Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements
• Photon counting statistics in Gaussian bosonic networks
• Quantification of Continuous Variable Entanglement with only Two Types of Simple Measurements
• When Non-Gaussian States are Gaussian: Generalization of Non-Separability Criterion for Continuous Variables
• Hot entanglement? -- Parametrically coupled quantum oscillators in two heat baths: instability, squeezing and driving
• Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitter
• Asymptotic Entanglement Dynamics Phase Diagrams for Two Electromagnetic Field Modes in a Cavity
• Gaussian Quantum Illumination via Monotone Metrics
• Manifestation of pointer state correlations in complex weak values of quantum observables
• Quantum Echo in Two-Component Bose-Einstein Condensates
• Relating the Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions operationally through the quantum limited amplifier and attenuator channels
• A characterization of entangled two-qubit states via partial-transpose-moments
• Verification of joint measurability using phase-space quasiprobability distributions
• Entanglement of quantum oscillators coupled to different heat baths
• Multipartite Gaussian Entanglement of Formation
• Mixedness and entanglement for two-mode Gaussian states
• Correlation Minor Norms, Entanglement Detection and Discord
• Displaced photon-number entanglement tests
• Detectors interacting through quantum fields: Non-Markovian effects, non-perturbative generation of correlations and apparent non-causality
• Entanglement degradation of a two-mode squeezed vacuum in absorbing and amplifying optical fibers
• Entanglement and nonclassicality in four-mode Gaussian states generated via parametric down-conversion and frequency up-conversion
• Robustness of different indicators of quantumness in the presence of dissipation
• Optical implementation and entanglement distribution in Gaussian valence bond states
• Entangled light from Bose-Einstein condensates
• Quantum coherence of an orbital angular momentum multiplexed continuous-variable entangled state
• Multi-copy activation of genuine multipartite entanglement in continuous-variable systems
• Correlations and signaling in the Schrödinger-Newton model
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Mean Value of the Quantum Potential and Uncertainty Relations
• Nonlocality of a free atomic wave packet
• Entanglement in Lifshitz Fermion Theories
• Separability criteria with angular and Hilbert space averages
• Non-Gaussian Entangled States
• State-Agnostic Approach to Certifying Electron-Photon Entanglement in Electron Microscopy
• Minkowski structure for purity and entanglement of Gaussian bipartite states
• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Nonclassicality and entanglement for wavepackets
• Eavesdropping of two-way coherent-state quantum cryptography via Gaussian quantum cloning machines
• Entanglement in Markovian hybrid classical-quantum theories of gravity
• General mapping of multi-qu$d$it entanglement conditions to non-separability indicators for quantum optical fields
• Quantum-controlled cluster states
• Operational Discord Measure for Gaussian States with Gaussian Measurements
• Anatomy of entanglement and nonclassicality criteria
• Realignment separability criterion assisted with filtration for detecting continuous-variable entanglement
• Quantum Benchmark via an Uncertainty Product of Canonical Variables
• Entanglement and Complete Positivity: Relevance and Manifestations in Classical Scalar Wave Optics
• Entanglement partners and monogamy in de Sitter universes
• Interference-induced enhancement of field entanglement in a microwave-driven V-type single-atom laser
• Quantum-entangled light from localized emitters
• Entanglement detection in quantum materials with competing orders
• Generation of multipartite spin entanglement from multimode squeezed states
• Stokes vector and its relationship to Discrete Wigner Functions of multiphoton states
• Covariance Dynamics and Entanglement in Translation Invariant Linear Quantum Stochastic Networks
• Influence of classic noise on entangled state formation in parametric systems
• Correlation based entanglement criteria for bipartite systems
• Hybrid entanglement caused by depletion of pump on output of spontaneous parametric down converter
• Divergence-free approach for obtaining decompositions of quantum-optical processes
• Quantum mappings acting by coordinate transformations on Wigner distributions
• Creation of entangled atomic states by an analogue of the Dynamical Casimir Effect
• Fundamental limitations to key distillation from Gaussian states with Gaussian operations
• Universal separability criterion for arbitrary density matrices from causal properties of separable and entangled quantum states
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems
• Hyper-entangling mesoscopic bound states
• Quantum Rényi Entropy Functionals for Bosonic Gaussian Systems
• Ancillary Gaussian modes activate the potential to witness non-Markovianity
• Polaritonic Ultrastrong Coupling: Quantum Entanglement in Ground State
• Time correlations in atmospheric quantum channels
• Minimal criteria for continuous-variable genuine multipartite entanglement
• Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
• Entanglement, Squeezing and non-Locality in Filtered Two-Mode Squeezed Mixed States
• Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
• Steady-state entanglement of interacting masses in free space through optimal feedback control
• Local Hidden Variables Underpinning of Entanglement and Teleportation
• Phase-selective tripartite entanglement and asymmetric Einstein-Podolsky-Rosen steering in squeezed optomechanics
• Quantum entanglement in phase space
• Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States
• Universality of stationary entanglement in an optomechanical system driven by non-Markovian noise and squeezed light
• Interferometric detection of continuous-variable entanglement using two states
• Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics
• Entanglement of bosonic modes in symmetric graphs
• Quantumness and its hierarchies in PT-symmetric down-conversion models
• Entanglement and correlations between local observables in de Sitter spacetime
• Feedback-enhanced distant entanglement of magnon and phonon modes with atomic ensembles in coupled cavities
• Quantum Sensor Duplicating the Robins Procedure
• Long-lived mesoscopic entanglement between two damped infinite harmonic chains
• Gaussian intrinsic entanglement for states with partial minimum uncertainty
• Uncertainty relation and inseparability criterion
• Room-temperature steady-state entanglement in a four-mode optomechanical system
• Robust Gaussian Teleportation with Attenuations and Non-unity Gain
• What bipartite states are lazy
• Transformations of symmetric multipartite Gaussian states by Gaussian LOCC
• Entanglement Dynamics of Quantum Oscillators Nonlinearly Coupled to Thermal Environments
• Entanglement and area laws in weakly correlated gaussian states
• Entanglement in a Bipartite Gaussian State
• Complete State Reconstruction of a Two-Mode Gaussian State via Local Operations and Classical Communication
• Spin flip of multiqubit states in discrete phase space
• Experimental pre-assessing entanglement in Gaussian states mixing
• Decoupling Cross-Quadrature Correlations using Passive Operations
• Entanglement, violation of Kramers-Kronig relation and curvature in spacetime
• Engineering multipartite entangled states in doubly pumped parametric down-conversion processes
• Optical and Microcavity Modes Entanglement by means of Developed Opto-Mechanical System
• Scaling maps of $s$-ordered quasiprobabilities are either nonpositive or completely positive
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• Network mechanism for generating genuinely correlative Gaussian states
• Discovery of entanglement generation by elastic collision to realise the original Einstein-Podolsky-Rosen thought experiment
• Measuring nonclasicality of single-mode systems
• Spin-induced multipartite steady-state entanglement of motional modes in hexagonal boron nitride membranes
• Probing Modified Gravity with Entanglement of Microspheres
• A Quantum Information Perspective on Many-Body Dispersive Forces
• Quantum Information with Continuous Variable systems
• Structure of the Phase in Pure Two-Mode Gaussian States
• Characterizing stationary optomechanical entanglement in the presence of non-Markovian noise
• Quantum Separability of the vacuum for Scalar Fields with a Boundary
• Is there charged dark matter bound to ordinary matter? Can it produce observable quantum effects?
• Deterministic generation of hybrid entangled states using quantum walks
• Positivity and entanglement of polynomial Gaussian integral operators
• Generating random Gaussian states
• Detecting spacelike vacuum entanglement at all distances and promoting negativity to a necessary and sufficient entanglement measure in many-body regimes
• Strong entanglement criterion involving momentum weak values
• Nondestructive verification of continuous-variable entanglement
• Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks
• Computable negativity in two mode squeezing subject to dissipation
• Physical properties of the Schur complement of local covariance matrices
• Generation of two-color polarization-entangled optical beams with a self-phase-locked two-crystal Optical Parametric Oscillator
• Characterization of multiqubit pure-state entanglement
• Entanglement criteria for two strongly interacting ensembles
• About the use of entanglement in the optical implementation of quantum information processing
• Quench dynamics of negativity Hamiltonians
• Strictly nonclassical behavior of a mesoscopic system
• Zero-threshold correlated-photon laser with a single trapped atom in a bimodal cavity
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• Reduced state of the field and classicality of quantum Gaussian evolution
• Unconditional remote entanglement using second-harmonic generation and twin two-mode squeezed vacuum states
• Noise-adaptive test of quantum correlations with quasiprobability functions
• Simultaneous amplification and non-symmetric amplitude damping of two-mode Gaussian state
• Frank-Condon principle and adjustment of optical waveguides with nonhomogeneous refractive indices
• Particle Creation and Entanglement in Dispersive Model with Step Velocity Profile
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Hidden quantum correlations in the ground states of quasiclassical spin systems
• Characterizing the Generalized Einstein-Podolsky-Rosen State and Extensions
• Quantum entanglement and Einstein-Podolsky-Rosen steering in ultrastrongly light-matter coupled system
• Estimation of Wigner distribution of single mode Gaussian states: a comparative study
• Adaptive random compiler for Hamiltonian simulation
• An exact Markovian decoherence dynamics of two interacting harmonic oscillators coupled to a bosonic heat bath
• Quantum entanglement of Hawking-Partner modes in expanding cavities
• Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system
• Large-scale multipartite entanglement in the quantum optical frequency comb of a depleted-pump optical parametric oscillator
• Non-Gaussian entanglement criteria for atomic homodyne detection
• Validation of entanglement purification by continuous variable polarization
• Electrically switchable entanglement channel in van der Waals magnets
• Operator transpose within normal ordering and its applications for quantifying entanglement
• Convicting emergent multipartite entanglement with evidence from a partially blind witness
• Experimental demonstration of robustness of Gaussian quantum coherence
• Distribution of Gaussian Entanglement in Linear Optical Systems
• Explicit formula of the separability criterion for continuous variables systems
• Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves
• The Classical Harmonic Vibrations of the Atomic Centers of Mass with Micro Amplitudes and Low Frequencies Monitored by the Entanglement between the Two Two-level Atoms in a Single mode Cavity
• Gaussian state entanglement witnessing through lossy compression
• Entanglement of a cavity light produced by a superposed two-mode coherent and subharmonic light
• Quantum correlations for two coupled oscillators interacting with two heat baths
• Optimal secure quantum teleportation of coherent states of light
• Entanglement of Vacuum States With the de Sitter Horizon: Consequences on Holographic Dark Energy
• Separability bounds on multiqubit moments due to positivity under partial transpose
• Converting separable conditions to entanglement breaking conditions
• Necessary and Sufficient Criteria for Gaussian Quantum Teleportation
• Creation of bipartite steering correlations by a fast damped auxiliary mode
• The versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob
• Typical Gaussian Quantum Information
• Hardy's Paradox and Measurement-disturbance Relations
• An Introduction to the Formalism of Quantum Information
• Nonlocal quantum memory effects in a correlated multimode field
• Exact algebraic separability criterion for two-qubit systems
• Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems
• Tuning the separability in noncommutative space
• Entanglement distribution maximization over one-side Gaussian noisy channel
• Entanglement dynamics for two harmonic oscillators coupled to independent environments
• Superior resilience of non-Gaussian entanglement against local Gaussian noises
• Constructing local models for general measurements on bosonic Gaussian states
• Amplified response of cavity-coupled quantum-critical systems
• Tomography on Continuous Variable Quantum States
• Steady-state dynamics of quantum frequency combs in microring resonators
• On the covariance matrix for Gaussian states
• Enhancing entanglement detection of quantum optical frequency combs via stimulated emission
• Combinatorial laplacians and positivity under partial transpose
• Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
• Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
• Partial Transposition in a Finite-Dimensional Hilbert Space: Physical Interpretation, Measurement of Observables and Entanglement
• Shannon Entropic Entanglement Criterion in the Simple Harmonic Oscillator
• Entanglement in two site Bose-Hubbard model
• Macroscopic entanglement between localized domain walls inside a cavity
• All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled
• From Quantum Optics to Quantum Technologies
• A general inseparability criterion for non-Gaussian states
• An experimental proposal for a Gaussian amendable quantum channel
• Multipartite spatial entanglement generated by concurrent nonlinear processes
• Entropy Production and the Role of Correlations in Quantum Brownian Motion
• Classical analogs of the covariance matrix, purity, linear entropy, and von Neumann entropy
• Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement
• On the $\mathcal{P}\mathcal{T}$-symmetric parametric amplifier
• Nonequilibrium dynamics of polariton entanglement in a cluster of coupled traps
• Generation of a coherent squeezed like state defined with the Lie-Trotter product formula using a nonlinear photonic crystal
• A continuous-variable formalism for the Faraday atom-light interface
• Bipartite entanglement extracted from multimode squeezed light generated in lossy waveguides
• Monogamy inequalities for entanglement using continuous variable measurements
• Nonclassicality and Bell nonlocality in atmospheric links
• Multipartite continuous-variable quantum nondemolition interaction and entanglement certification and monitoring
• Local Detection of Entanglement
• Advances in Position-Momentum Entanglement: A Versatile Tool for Quantum Technologies
• Nonreciprocal Coupling Induced Non-Hermitian Entanglement in Optomechanical Systems
• Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field
• Generation of hypercubic cluster states in 1-4 dimensions in a simple optical system
• Quantum Imaging of High-Dimensional Hilbert Spaces with Radon Transform
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips
• Some aspects of the interplay between bipartite correlations and quantum channels
• Sudden death and revival of Gaussian Einstein-Podolsky-Rosen steering in noisy channels
• Optimal transfer of entanglement in oscillator chains in non-Markovian open systems
• Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes
• Quantum entanglement and extractable work for Gaussian states
• On-chip squeezed light in the audio frequency band
• A contour for the entanglement negativity of bosonic Gaussian states
• Information analysis in free and confined harmonic oscillator
• Effect of phase fluctuation and dephasing on the dynamics of entanglement generation in a correlated emission laser
• Beyond pure state entanglement for atomic ensembles
• A theoretical study of nonclassical effects in optical and spin systems and their applications
• The separability of tripartite Gaussian state with amplification and amplitude damping
• Open Quantum Systems at Low Temperature
• Optical entanglement facilitated by a hot mechanical oscillator
• Continuous variable entanglement in a cold-atoms mirrorless optical parametric oscillator
• Multipartite entanglement in a Josephson Junction Laser
• Robust entanglement detection in arbitrary two-mode Gaussian state: a Stokes-like operator-based approach
• Heat transfer and entanglement -- non-equilibrium correlation spectra of two quantum oscillators
• Open dynamics of entanglement in mesoscopic bosonic systems
• Detecting strongly non-Gaussian entanglement
• Transfer of quantum-enhanced information through a many-body system
• Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States
• A general approach to model counterpropagating continuous variable entangled states in a lossy CROW
• Non classical light in Jx photonic lattice
• Noisy dynamics of Gaussian entanglement: a transient bound entangled phase before separability
• Application and quantum properties of superpositions of oppositely squeezed states
• Stationary entanglement in N-atom subradiant degenerate cascade systems
• On the geometric phase for Gaussian states
• Diffusion coefficients preserving long-time correlations: Consequences on the Einstein relation and on entanglement in a bosonic Bogoliubov system
• Optoelectronic based Quantum Radar: Entanglement Sustainability Improving at High Temperature
• Maximum heralding probabilities of nonclassical-state generation from a two-mode Gaussian state via photon-counting measurements
• Quantum correlations under the effect of a thermal environment in a triangular optomechanical cavity
• Rényi and von Neumann entropies for various Bipartite Gaussian States