Extreme nonlocality with one photon

Abstract

Quantum nonlocality is typically assigned to systems of two or more well separated particles, but nonlocality can also exist in systems consisting of just a single particle, when one considers the subsystems to be distant spatial field modes. Single particle nonlocality has been confirmed experimentally via a bipartite Bell inequality. In this paper, we introduce an N-party Hardy-like proof of impossibility of local elements of reality and a Bell inequality for local realistic theories for a single particle superposed symmetrical over N spatial field modes (i.e. a N qubit W state). We show that, in the limit of large N, the Hardy-like proof effectively becomes an all-versus nothing (or GHZ-like) proof, and the quantum-classical gap of the Bell inequality tends to be same of the one in a three-particle GHZ experiment. We detail how to test the nonlocality in realistic systems.

11 single column pages, 2 figures; v3 now includes a Bell inequality in addition to the results in the previous version

References in corpus (8)

• Reference frames, superselection rules, and quantum information
• Bell inequality violation with two remote atomic qubits
• Nonlocality of a single particle
• (Non-)Contextuality of Physical Theories as an Axiom
• Universal and deterministic manipulation of the quantum state of harmonic oscillators: a route to unitary gates for Fock State qubits
• Natural mode entanglement as a resource for quantum communication
• Single particle nonlocality with completely independent reference states
• Realism and single-quanta nonlocality

Cited by in corpus (27)

• Entanglement of spin waves among four quantum memories
• Recent progress in quantum simulation using superconducting circuits
• Statistical Methods for Quantum State Verification and Fidelity Estimation
• Nonlocality of Symmetric States
• Coherence and multimode correlations from vacuum fluctuations in a microwave superconducting cavity
• Efficient entanglement concentration for arbitrary less-entangled N-atom state
• Decoherence Effects on the Non-locality of Symmetric States
• Feasibility of loophole-free nonlocality tests with a single photon
• Can single photon excitation of two spatially separated modes lead to a violation of Bell inequality via homodyne measurements?
• Nonlocality of $W$ and Dicke states subject to losses
• Tomography of a Feedback Measurement with Photon Detection
• Nonlocality and Entanglement for Symmetric States
• The phases of the disordered Bose-Hubbard model with attractive interactions
• Deterministic teleportation using single-photon entanglement as a resource
• Deterministic Many-Resonator W Entanglement of Nearly Arbitrary Microwave States via Attractive Bose-Hubbard Simulation
• Optimal interferometry for Bell$-$nonclassicality by a vacuum$-$one$-$photon qubit
• Realism and single-quanta nonlocality
• Multi-dimensional photonic states from a quantum dot
• Bounding the persistency of the nonlocality of W states
• Single photon generation and non-locality of perfect W-state
• Realistic limits on the nonlocality of an N-partite single-photon superposition
• On a recent proof of nonlocality without inequalities
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• Geometric Multiaxial Representation of N-qubit Mixed Symmetric Separable States
• Noiseless Loss Suppression for Entanglement Distribution
• Experimental Approach to Demonstrating Contextuality for Qudits
• Do Hardy-type proposals test nonlocality of single-particle?