On detecting violation of local realism with photon-number resolving weak-field homodyne measurements

Abstract

Non-existence of a local hidden variables (LHV) model for a phenomenon benchmarks its use in device-independent quantum protocols. Nowadays photon-number resolving weak-field homodyne measurements allow realization of emblematic gedanken experiments. Alas, claims that we can have no LHV models for such experiments on (a) excitation of a pair of spatial modes by a single photon, and (b) two spatial modes in a weakly squeezed vacuum state, involving constant local oscillator strengths, are unfounded. For (a) an exact LHV model resolves the dispute on the "non-locality of a single photon" in its original formulation. It is measurements with local oscillators on or off that do not have LHV models.

arXiv comment5 + 5 pages, 1 figure. Results partially overlap with arXiv:2102.03254. Comments are welcome

References in corpus (21)

• Bell inequalities for arbitrarily high dimensional systems
• Quantum Nonlocality in Phase Space
• |0>|1>+|1>|0>
• An experimental demonstration of single photon nonlocality
• Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
• Two-photon Franson-type experiments and local realism
• Nonlocal effects in Fock space
• Observing optical coherence across Fock layers with weak-field homodyne detectors
• Nonlocal Aspects of a Quantum Wave
• NONLOCALITY OF A SINGLE PHOTON REVISITED AGAIN
• Tuning between photon-number and quadrature measurements with weak-field homodyne detection
• Bell Inequalities for Quantum Optical Fields
• Revisiting Bell's theorem for a class of down-conversion experiments
• Testing nonlocality of a single photon without a shared reference frame
• Observing quantum non-locality in the entanglement between modes of massive particles
• Modeling the Singlet State with Local Variables
• Can single photon excitation of two spatially separated modes lead to a violation of Bell inequality via homodyne measurements?
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics
• Nonclassicality of pure two-qutrit entangled states
• Single particle nonlocality with completely independent reference states
• Comment on `Single particle nonlocality with completely independent reference states'

Cited by in corpus (10)

• Optimal interferometry for Bell$-$nonclassicality by a vacuum$-$one$-$photon qubit
• Comment on `Single particle nonlocality with completely independent reference states'
• Revisited aspects of the local set in CHSH Bell scenario
• On the Fidelity Robustness of CHSH--Bell Inequality via Filtered Random States
• "Nonlocality-of-a-single-photon" based Quantum Key Distribution and Random Number Generation schemes and their device-independent security analysis
• Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
• Testing Single Photon Entanglement using Self-Referential Measurements
• Bosonic fields in states with undefined particle numbers possess detectable non-contextuality features, plus more
• Open dynamics of entanglement in mesoscopic bosonic systems
• Unquestionable Bell theorem for interwoven frustrated down conversion processes