Testing Bell inequalities with photon-subtracted Gaussian states
arXiv:0710.4822 · doi:10.1103/PhysRevA.78.042101
Abstract
Recently, photon subtracted Gaussian states (PSGSs) were generated by several experimental groups. Those states were called "Schrödinger kittens" due to their similarities to superpositions of coherent states (SCSs) with small amplitudes. We compare the ideal SCSs and the PSGSs for experimental tests of certain types of Bell inequalities. In particular, we analyze the effects of the key experimental components used to generate PSGSs: mixedness of the Gaussian states, limited transmittivity of the beam splitter and the avalanche photodetector which cannot resolve photon numbers. As a result of this analysis, the degrees of mixedness and the beam splitter transmittivity that can be allowed for successful tests of Bell inequalities are revealed.
9 pages, 7 figures, to be published in Phys. Rev. A
References in corpus (35)
- Quantum computation with optical coherent states
- Generation of a superposition of odd photon number states for quantum information networks
- Entangled coherent states: teleportation and decoherence
- Schroedinger cat-like states by conditional measurements on a beam-splitter
- Non-gaussian statistics from individual pulses of squeezed light
- Efficient Quantum Computation using Coherent States
- Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
- Quantum Nonlocality in Phase Space
- Experimental investigation of continuous variable quantum teleportation
- Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
- Proposal for a loophole-free Bell test using homodyne detection
- Controllable generation of highly nonclassical states from nearly pure squeezed vacua
- Fault-tolerant linear optical quantum computing with small-amplitude coherent states
- Proposed Test of Quantum Nonlocality for Continuous Variables
- Conditional Production of Superpositions of Coherent States with Inefficient Photon Detection
- Weak force detection with superposed coherent states
- Generation of arbitrary quantum states of traveling fields
- Quantum nonlocality test for continuous-variable states with dichotomic observables
- Nonclassicality of a photon-subtracted Gaussian field
- Using weak nonlinearity under decoherence for macroscopic-entanglement generation and quantum computation
- Generation of macroscopic superposition states with small nonlinearity
- Violation of Bell's inequality using classical measurements and non-linear local operations
- Production of superpositions of coherent states in traveling optical fields with inefficient photon detection
- Quantum Nonlocality for a Mixed Entangled Coherent State
- Squeezed Fock state by inconclusive photon subtraction
- Photon subtracted states and enhancement of nonlocality in the presence of noise
- Experimentally realizable characterizations of continuous variable Gaussian states
- Large amplitude coherent state superposition generated by a time-separated two-photon subtraction from a continuous wave squeezed vacuum
- Effect of noise and enhancement of nonlocality in on/off photodetection
- Tomographic test of Bell's inequality for a time-delocalized single photon
- Nonlocality of two- and three-mode continuous variable systems
- Quantum State Engineering with Continuous-Variable Post-Selection
- Transforming squeezed light into a large amplitude coherent state superposition
- Conditional quantum-state engineering using ancillary squeezed-vacuum states
- De-Gaussification by inconclusive photon subtraction
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- Enhancing quantum entanglement by photon addition and subtraction
- Amplification of realistic cat-like states by homodyne heralding
- Characterizations and Quantifications of Macroscopic Quantumness and Its Implementations using Optical Fields
- Testing quantum nonlocality by generalized quasiprobability functions
- Faithful test of non-local realism with entangled coherent states
- Cat-States in the Framework of Wigner-Heisenberg Algebra
- Entangled coherent states versus entangled photon pairs for practical quantum information processing
- Enhanced multipartite quantum correlations by non-Gaussian operations
- Efficient noiseless linear amplification for light fields with larger amplitudes
- Effects of squeezing on quantum nonlocality of superpositions of coherent states
- Bell inequality tests using asymmetric entangled coherent states in asymmetric lossy environments
- Bell inequality test with entanglement between an atom and a coherent state in a cavity
- Generation of picosecond pulsed coherent state superpositions
- Violation of Bell's inequalities with pre-amplified homodyne detection
- Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
- Photon subtraction from traveling fields - recent experimental demonstrations
- Efficient amplification of superpositions of coherent states using input states with different parities
- Implementation of traveling odd Schrdinger cat states in circuit-QED
- Parity-Swap State Comparison Amplifier for Schrödinger Cat States