Proposal for a loophole-free violation of Bell inequalities with a set of single photons and homodyne measurements

Abstract

We demonstrate that different kind of mesoscopic quantum states of light can be efficiently generated from a simple iterative scheme using homodyne heralding. These states exhibit strong non-classical features, and are of great interest for many applications such as quantum error-correcting codes or fundamental testings. On this basis we propose a protocol allowing a large loophole-free violation of a CHSH-type Bell inequality with a remarkable robustness to line losses.

References in corpus (13)

• Bell violation with entangled photons, free of the fair-sampling assumption
• Device-independent quantum key distribution secure against collective attacks
• Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Generation of Optical Coherent State Superpositions by Number-Resolved Photon Subtraction from Squeezed Vacuum
• Violation of Bell's inequality using classical measurements and non-linear local operations
• Amplification of realistic cat-like states by homodyne heralding
• A high-fidelity single-photon source based on a type-II optical parametric oscillator
• Conditional generation of an arbitrary superposition of coherent states
• Large violation of Bell inequalities using both particle and wave measurements
• Tests of multimode quantum non-locality with homodyne measurements
• Bell tests for continuous variable systems using hybrid measurements and heralded amplifiers
• Maximal CHSH violations with low efficiency photodetection and homodyne measurements

Cited by in corpus (22)

• Quantum enhanced measurements without entanglement
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Generating Grid States From Schrödinger Cat States without Post-Selection
• Non-Gaussian and Gottesman-Kitaev-Preskill state preparation by photon catalysis
• Cost-Reduced All-Gaussian Universality with the Gottesman-Kitaev-Preskill Code: Resource-Theoretic Approach to Cost Analysis
• Quantum storage of single-photon and two-photon Fock states with an all-optical quantum memory
• Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
• Cat-States in the Framework of Wigner-Heisenberg Algebra
• High production rate of single-photon and two-photon Fock states for quantum state engineering
• Iterative tailoring of optical quantum states with homodyne measurements
• Gaussian conversion protocol for heralded generation of qunaught states
• High-dimensional quantum encoding via photon-subtracted squeezed states
• Experimental demonstration of a versatile and scalable scheme for iterative generation of non-Gaussian states of light
• Schrödinger cat states prepared by logical gate with non-Gaussian resource state: effect of finite squeezing and efficiency versus monotones
• Efficient amplification of superpositions of coherent states using input states with different parities
• Scalable Bell inequalities for multiqubit systems
• Quantum statistics of Schrödinger cat states prepared by logical gate with non-Gaussian resource state
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Linear-optical approach to encoding qubits into harmonic-oscillator modes via quantum walks
• The complexity of Gottesman-Kitaev-Preskill states
• Experimental investigation of heralded Gaussification of phase-randomized coherent states of light