Entanglement of formation for symmetric Gaussian states
arXiv:quant-ph/0304042 · doi:10.1103/PhysRevLett.91.107901
Abstract
We show that for a fixed amount of entanglement, two-mode squeezed states are those that maximize Einstein-Podolsky-Rosen-like correlations. We use this fact to determine the entanglement of formation for all symmetric Gaussian states corresponding to two modes. This is the first instance in which this measure has been determined for genuine continuous variable systems.
arXiv comment4 pages, revtex4
References in corpus (12)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Quantum key distribution using gaussian-modulated coherent states
- Experimental long-lived entanglement of two macroscopic objects
- Entanglement Measures under Symmetry
- Bound entangled Gaussian states
- The Entanglement of Formation for Isotropic States
- Distillability Criterion for all Bipartite Gaussian States
- Separability Criterion for all bipartite Gaussian States
- Experimental demonstration of continuous variable polarization entanglement
Cited by in corpus (176)
- Quantum entanglement
- Quantum information with continuous variables
- Gaussian Quantum Information
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum interface between light and atomic ensembles
- Continuous variable quantum information: Gaussian states and beyond
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Extremal entanglement and mixedness in continuous variable systems
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Quantum versus classical correlations in Gaussian states
- Analysis and interpretation of high transverse entanglement in optical parametric down conversion
- Quantum optics in the phase space - A tutorial on Gaussian states
- Dynamical Casimir effect in a Josephson metamaterial
- Extremality of Gaussian quantum states
- Multiphoton Quantum Optics and Quantum State Engineering
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
- Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
- Quantitative entanglement witnesses
- Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
- Gaussian Entanglement of Formation
- Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation
- Satellite-Based Continuous-Variable Quantum Communications: State-of-the-Art and a Predictive Outlook
- Macroscopic Entanglement by Entanglement Swapping
- Optimal entanglement witnesses for continuous-variable systems
- Entanglement of Formation of Bipartite Quantum States
- Determination of continuous variable entanglement by purity measurements
- Entanglement and purity of two-mode Gaussian states in noisy channels
- Continuous variable entanglement using cold atoms
- Unitarily localizable entanglement of Gaussian states
- Light-Matter Quantum Interface
- Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
- Continuous-variable teleportation in the characteristic-function description
- Distillation of continuous-variable entanglement with optical means
- Quantum state majorization at the output of bosonic Gaussian channels
- A characterization of continuous variable entanglement
- Preparation of distilled and purified continuous variable entangled states
- Entangling microwaves with optical light
- Non-classical correlations in non-Markovian continuous variable systems
- Entanglement of formation for an arbitrary two-mode Gaussian state
- Quantifying entanglement in two-mode Gaussian states
- Enhancement of magnon-photon-phonon entanglement in a cavity magnomechanics with coherent feedback loop
- How to measure squeezing and entanglement of Gaussian states without homodyning
- Continuous variable entanglement dynamics in structured reservoirs
- Efficient quantum memory and entanglement between light and an atomic ensemble using magnetic fields
- Optimal estimation of entanglement
- Observation of two-mode squeezing in a traveling wave parametric amplifier
- Entanglement within the Quantum Trajectory Description of Open Quantum Systems
- Environment-induced two-mode entanglement in quantum Brownian motion
- Experimental Generation of Large Quadrature EPR Entanglement with a Self-Phase-Locked Type II OPO Below Threshold
- Quantifying entanglement of formation for two-mode Gaussian states: Analytical expressions for upper and lower bounds and numerical estimation of its exact value
- Teleportation and spin squeezing utilizing multimode entanglement of light with atoms
- Time-resolved homodyne characterization of individual quadrature-entangled pulses
- A generalization of the Entropy Power Inequality to Bosonic Quantum Systems
- Entanglement Reactivation in Separable Environments
- Measurement-induced disturbances and nonclassical correlations of Gaussian states
- Entangled light pulses from single cold atoms
- Generating EPR beams in a cavity optomechanical system
- Magnon-magnon entanglement and its detection in a microwave cavity
- Distillation and purification of symmetric entangled Gaussian states
- Bures distance as a measure of entanglement for symmetric two-mode Gaussian states
- Controlling Stationary One-Way Steering via Thermal Effects in Optomechanics
- Entanglement frustration for Gaussian states on symmetric graphs
- Entanglement, Purity, and Information Entropies in Continuous Variable Systems
- Experimental Violation Of Bell-like Inequalities By Electronic Shot Noise
- Sub shot noise phase quadrature measurement of intense light beams
- Two-mode entanglement in two-component Bose-Einstein condensates
- Observation of broadband entanglement in microwave radiation from a single time-varying boundary condition
- Coherent generation of EPR-entangled light pulses mediated by a single trapped atom
- Gaussian relative entropy of entanglement
- Non-Gaussian quantum discord for Gaussian states
- Hellinger distance as a measure of Gaussian discord
- Quantum phase-sensitive diffraction and imaging using entangled photons
- Quantum steering of Gaussian states via non-Gaussian measurements
- Entanglement of Pure Two-Mode Gaussian States
- Entanglement sharing: from qubits to Gaussian states
- Teleportation of an atomic ensemble quantum state
- Detecting and estimating continuous-variable entanglement by local orthogonal observables
- Continuous-variable entanglement dynamics in Lorentzian environment
- Constraints on the uncertainties of entangled symmetric qubits
- Generating mechanical and optomechanical entanglement via pulsed interaction and measurement
- Magnetometry with entangled atomic samples
- Entanglement production and decoherence-free subspace of two single-mode cavities embedded in a common environment
- Entanglement quantification made easy: Polynomial measures invariant under convex decomposition
- Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
- Noisy propagation of Gaussian states in optical media with finite bandwidth
- Distance and Coupling Dependence of Entanglement in the Presence of a Quantum Field
- Squeezed state purification with linear optics and feed forward
- Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators
- Entanglement of large atomic samples: a Gaussian state analysis
- Entanglement formation in continuous-variable random quantum networks
- From log-determinant inequalities to Gaussian entanglement via recoverability theory
- Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling
- Dynamics of quantum entanglement in Gaussian open systems
- Non-classical correlations in quantum mechanics and beyond
- Entanglement storage in atomic ensembles
- Dynamical Gaussian quantum steering in optomechanics
- Characterization and quantification of symmetric Gaussian state entanglement through a local classicality criterion
- Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
- Hierarchy of magnon entanglement in antiferromagnets
- Experimentally friendly bounds on non-Gaussian entanglement from second moments
- Entanglement between atomic condensates in an optical lattice: effects of interaction range
- Entanglement dynamics of bipartite system in squeezed vacuum reservoirs
- Discrete Fourier-based Correlations for Entanglement Detection
- Entanglement in two-mode continuous variable open quantum systems
- Quantum to classical transition and entanglement sudden death in Gaussian states under local heat bath dynamics
- Tight Bounds for the Entanglement of Formation of Gaussian States
- Entanglement convertibility for infinite dimensional pure bipartite states
- On the entanglement of formation of two-mode Gaussian states: a compact form
- The most robust entangled state of light
- Entangled Harmonic Oscillators and Space-time Entanglement
- Interfacing nuclear spins in quantum dots to cavity or traveling-wave fields
- Continuous variable entanglement in open quantum dynamics
- The balance of quantum correlations for a class of feasible tripartite continuous variable states
- Two dimensional characterization of space-momentum entangled photon pairs
- Gaussian intrinsic entanglement
- Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
- Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
- Quantum Coherence Versus Non-Classical Correlations in Optomechanics
- Non-classical correlations in a two-mode optomechanical system
- Entanglement in Gaussian matrix-product states
- Separability criteria for continuous variable systems
- Lorentz Harmonics, Squeeze Harmonics, and their Physical Applications
- Analytic solution of the separability criterion for continuous variable systems
- Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates
- Gaussian Continuous-Variable Isotropic State
- Gaussian entanglement of symmetric two-mode Gaussian states
- The characteristic function of optical evolution
- Determining the squeezing in multimode fields using nonlocal quantum probes
- Evolution and entanglement of Gaussian states in the parametric amplifier
- Optimizing mechanical entanglement using squeezing and parametric amplification
- Lower and upper bounds for entanglement of Rényi- entropy
- Additivity of entanglement of formation via entanglement-breaking space
- Maximum entanglement of formation for a two-mode Gaussian state over passive operations
- Teleportation and Entanglement Swapping of Continuous Quantum Variables of Microwave Radiation
- Non-Classical Radiation Emission By A Coherent Conductor
- Coupled oscillators and Feynman's three papers
- Entanglement properties of a measurement-based entanglement distillation experiment
- Asymptotic Entanglement Dynamics Phase Diagrams for Two Electromagnetic Field Modes in a Cavity
- Configuration-Space Location of the Entanglement between Two Subsystems
- Transmon probe for quantum characteristics of magnons in antiferromagnets
- Non-Gaussian two-mode squeezing and continuous variable entanglement of linearly and circularly polarized light beams interacting with cold atoms
- Quantification of Continuous Variable Entanglement with only Two Types of Simple Measurements
- Tripartite genuinely entangled states from entanglement-breaking subspaces
- Non-Gaussian Entangled States
- Temperature-anisotropy conjugate magnon squeezing in antiferromagnets
- Optical implementation and entanglement distribution in Gaussian valence bond states
- Amplification uncertainty relation for probabilistic amplifiers
- Minkowski structure for purity and entanglement of Gaussian bipartite states
- Gaussian intrinsic entanglement for states with partial minimum uncertainty
- On the equivalence between squeezing and entanglement potential for two-mode Gaussian states
- Analytically Computable Symmetric Quantum Correlations
- Entanglement of bosonic modes in symmetric graphs
- Experimentally testable geometric phase of sequences of Everett's relative quantum states
- Time-invariant Discord: High Temperature Limit and Initial Environmental Correlations
- Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
- A Quantum Information Perspective on Many-Body Dispersive Forces
- Structure of the Phase in Pure Two-Mode Gaussian States
- Detecting spacelike vacuum entanglement at all distances and promoting negativity to a necessary and sufficient entanglement measure in many-body regimes
- Dynamics of entanglement of bosonic modes on symmetric graphs
- Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system
- Physical properties of the Schur complement of local covariance matrices
- Rapid creation of distant entanglement by multiphoton resonant fluorescence
- Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
- Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states
- Local entanglement of multidimensional continuous-variable systems
- Entanglement distribution maximization over one-side Gaussian noisy channel
- Local Detection of Entanglement
- Robust entanglement detection in arbitrary two-mode Gaussian state: a Stokes-like operator-based approach
- Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement
- Entanglement and its applications in systems with many degrees of freedom
- Some aspects of the interplay between bipartite correlations and quantum channels
- Quantum correlations under the effect of a thermal environment in a triangular optomechanical cavity