Entanglement of formation for an arbitrary two-mode Gaussian state

Abstract

We write the optimal pure-state decomposition of any two-mode Gaussian state and show that its entanglement of formation coincides with the Gaussian one. This enables us to develop an insightful approach of evaluating the exact entanglement of formation. Its additivity is finally proven.

Corrected typos

References in corpus (23)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Quantum information with continuous variables
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Extremal entanglement and mixedness in continuous variable systems
• Entanglement Measures under Symmetry
• Entanglement of formation for symmetric Gaussian states
• Multiphoton Quantum Optics and Quantum State Engineering
• The Entanglement of Formation for Isotropic States
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Gaussian Entanglement of Formation
• Determination of continuous variable entanglement by purity measurements
• Entanglement generation and degradation by passive optical devices
• Separability of Two-Party Gaussian States
• Bures distance as a measure of entanglement for symmetric two-mode Gaussian states
• On the P-representable subset of all bipartite Gaussian separable states
• Gaussian entanglement of symmetric two-mode Gaussian states

Cited by in corpus (46)

• Quantum entanglement
• Quantum optics in the phase space - A tutorial on Gaussian states
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Full characterization of Gaussian bipartite entangled states by a single homodyne detector
• Quantifying entanglement in two-mode Gaussian states
• Enhancement of magnon-photon-phonon entanglement in a cavity magnomechanics with coherent feedback loop
• Continuous variable entanglement dynamics in structured reservoirs
• Quantum repeater for continuous variable entanglement distribution
• Quantifying entanglement of formation for two-mode Gaussian states: Analytical expressions for upper and lower bounds and numerical estimation of its exact value
• Microwave--Optical entanglement in a Strongly Coupled Electro-Optomechanical System
• Optimal Gaussian Entanglement Swapping
• Continuous-variable entanglement distillation over a pure loss channel with multiple quantum scissors
• Simulation of Gaussian channels via teleportation and error correction of Gaussian states
• Non-Gaussian quantum discord for Gaussian states
• Ideal Quantum Tele-amplification up to a Selected Energy Cut-off using Linear Optics
• Fidelity matters: the birth of entanglement in the interference of Gaussian states
• Continuous-variable entanglement dynamics in Lorentzian environment
• Quantum error-correction of continuous-variable states with realistic resources
• Noisy propagation of Gaussian states in optical media with finite bandwidth
• Entanglement formation in continuous-variable random quantum networks
• Experimentally friendly bounds on non-Gaussian entanglement from second moments
• Generating multi-partite entanglement from the quantum vacuum with a finite-lifetime mirror
• Noiseless Linear Amplification and Loss-Tolerant Quantum Relay using Coherent State Superpositions
• Tight Bounds for the Entanglement of Formation of Gaussian States
• On the entanglement of formation of two-mode Gaussian states: a compact form
• Gaussian intrinsic entanglement
• The balance of quantum correlations for a class of feasible tripartite continuous variable states
• Quantum Coherence Versus Non-Classical Correlations in Optomechanics
• Entropic characterization of Separability in Gaussian states
• Optimizing mechanical entanglement using squeezing and parametric amplification
• Quantum entanglement in dense multiqubit systems
• Teleportation and Entanglement Swapping of Continuous Quantum Variables of Microwave Radiation
• Maximum entanglement of formation for a two-mode Gaussian state over passive operations
• Multipartite Gaussian Entanglement of Formation
• Entanglement properties of a measurement-based entanglement distillation experiment
• Mixedness and entanglement for two-mode Gaussian states
• Minkowski structure for purity and entanglement of Gaussian bipartite states
• Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
• On the equivalence between squeezing and entanglement potential for two-mode Gaussian states
• Universality of stationary entanglement in an optomechanical system driven by non-Markovian noise and squeezed light
• Stabilizing Preparation of Quantum Gaussian States via Continuous Measurement
• Entanglement distribution maximization over one-side Gaussian noisy channel
• EPR steering in symmetrical Gaussian states
• Entanglement versus cooling in the system of a driven pair of two-level qubits longitudinally coupled with a boson mode field
• Operator transpose within normal ordering and its applications for quantifying entanglement
• Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement