Quantum Nonlocality for a Mixed Entangled Coherent State

Abstract

Quantum nonlocality is tested for an entangled coherent state, interacting with a dissipative environment. A pure entangled coherent state violates Bell's inequality regardless of its coherent amplitude. The higher the initial nonlocality, the more rapidly quantum nonlocality is lost. The entangled coherent state can also be investigated in the framework of $2\times 2$ Hilbert space. The quantum nonlocality persists longer in $2\times 2$ Hilbert space. When it decoheres it is found that the entangled coherent state fails the nonlocality test, which contrasts with the fact that the decohered entangled state is always entangled.

20 pages, 7 figures. To be published in J. Mod. Opt

References in corpus (3)

• Entangled coherent states: teleportation and decoherence
• Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems

Cited by in corpus (30)

• Quantum information with continuous variables
• Quantum nonlocality test for continuous-variable states with dichotomic observables
• GHZ-type and W-type entangled coherent states: generation and Bell-type inequality tests without photon counting
• Generating "squeezed" superpositions of coherent states using photon addition and subtraction
• On entanglement capabilities in infinite dimensions or multi-dimensional entangled coherent states
• Generation of macroscopic superposition states with small nonlinearity
• Violation of Bell's inequality using classical measurements and non-linear local operations
• Quantum teleportation between "particle-like" and "field-like" qubits using hybrid entanglement under decoherence effects
• Characterizations and Quantifications of Macroscopic Quantumness and Its Implementations using Optical Fields
• Purification and detection of entangled coherent states
• Generating a Schrödinger-cat-like state via a coherent superposition of photonic operations
• Decoherence of multi-dimensional entangled coherent states
• Testing Bell inequalities with photon-subtracted Gaussian states
• Testing non-local realism with entangled coherent states
• Entangled coherent states versus entangled photon pairs for practical quantum information processing
• Decoherence of two maximally entangled qubits in a lossy nonlinear cavity
• Efficient noiseless linear amplification for light fields with larger amplitudes
• Bipartite quantum channels using multipartite cluster-type entangled coherent states
• Effects of squeezing on quantum nonlocality of superpositions of coherent states
• Bell inequality tests using asymmetric entangled coherent states in asymmetric lossy environments
• Generation of picosecond pulsed coherent state superpositions
• Bell inequality test with entanglement between an atom and a coherent state in a cavity
• Violation of Bell's inequalities with pre-amplified homodyne detection
• Multiorder coherent Raman scattering of a quantum probe field
• Generation of distributed entangled coherent states over a lossy environment with inefficient detectors
• The effect of channel decoherence on entangled coherent states: A theoretical analysis
• Duality in entanglement of macroscopic states of light
• Violation of smooth observable macroscopic realism in a harmonic oscillator
• Implementation of traveling odd Schr$\ddot{o}$dinger cat states in circuit-QED
• Nearly maximal violation of the Mermin-Klyshko inequality with multimode entangled coherent states