Generalized Hardy's Paradox

Abstract

Here we present the most general framework for $n$-particle Hardy's paradoxes, which include Hardy's original one and Cereceda's extension as special cases. Remarkably, for any $n\ge 3$ we demonstrate that there always exist generalized paradoxes (with the success probability as high as $1/2^{n-1}$) that are stronger than the previous ones in showing the conflict of quantum mechanics with local realism. An experimental proposal to observe the stronger paradox is also presented for the case of three qubits. Furthermore, from these paradoxes we can construct the most general Hardy's inequalities, which enable us to detect Bell's nonlocality for more quantum states.

arXiv comment6+4 pages, 2 figures. Revised version. Accepted by Phys. Rev. Lett

References in corpus (19)

• Quantum entanglement
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Bell nonlocality
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Bell inequalities for arbitrarily high dimensional systems
• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• Symmetries of the Bell correlation inequalities
• Maximal violation of the CGLMP inequality for infinite dimensional states
• All entangled pure states violate a single Bell's inequality
• Hardy's nonlocality for generalized n-particle GHZ states
• Hardy's paradox and violation of a state-independent Bell inequality in time
• Test of Genuine Multipartite Nonlocality Without Inequality
• Hardy's Paradox for High-Dimensional Systems: Beyond Hardy's Limit
• Testing Hardy nonlocality proof with genuine energy-time entanglement
• Hardy's paradox tested in the spin-orbit Hilbert space of single photons
• Complete proof of Gisin's theorem for three qubits
• Multipartite Bell-type Inequality by Generalizing Wigner's Argument
• Hierarchy of multipartite nonlocality in the nonsignaling scenario

Cited by in corpus (16)

• Air-core fiber distribution of hybrid vector vortex-polarization entangled states
• Proof of the Peres conjecture for contextuality
• General Hardy-Type Paradox Based on Bell inequality and its Experimental Test
• Increased success probability in Hardy's nonlocality: Theory and demonstration
• Hardy's paradox for multi-settings and high-dimensional systems
• Hardy's paradox as a demonstration of quantum irrealism
• Orbital-angular-momentum-based experimental test of Hardy's paradox for multisetting and multidimensional systems
• Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Violation of generalized Bell inequality and its optimal measurement settings
• Hardy-like Quantum Pigeonhole Paradox and the Projected-Coloring Graph State
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• Testing the Structure of Multipartite Entanglement with Hardy's Nonlocality
• Hardy-type paradoxes for an arbitrary symmetric bipartite Bell scenario
• Revealing the Boundary between Quantum Mechanics and Classical Model by EPR-Steering Inequality
• Trade-off relations on CHSH tests for multi-qubit pure states
• Experimental Test of Generalized Hardy's Paradox