Hardy's Paradox for High-Dimensional Systems: Beyond Hardy's Limit

Abstract

Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violation of a tight Bell inequality.

REVTeX4, 5 pages, 1 figure. Typo in Eq. (17) corrected. Ref. [5] completed

References in corpus (1)

• Simple Hardy-like proof of quantum contextuality

Cited by in corpus (25)

• Generalized Hardy's Paradox
• Multigraph approach to quantum non-locality
• 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
• What makes quantum clicks special?
• New forms of quantum value indefiniteness suggest that incompatible views on contexts are epistemic
• Extensions of Hardy-type true-implies-false gadgets to classically obtain indistinguishability
• Graph-theoretic approach to Bell experiments with low detection efficiency
• Consequences and applications of the completeness of Hardy's nonlocality
• Quantum correlations on the no-signaling boundary: self-testing and more
• Orbital-angular-momentum-based experimental test of Hardy's paradox for multisetting and multidimensional systems
• On Possibilistic Conditions to Contextuality and Nonlocality
• Roots and (re)sources of value (in)definiteness versus contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)
• Classical predictions for intertwined quantum observables are contingent and thus inconclusive
• A Logical Proof of Quantum Correlations Requiring Entanglement Measurements
• Classical limit of entangled states of two angular momenta
• Hardy-type paradoxes for an arbitrary symmetric bipartite Bell scenario
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Testing the Structure of Multipartite Entanglement with Hardy's Nonlocality
• All-versus-nothing violation of local realism from the Hardy paradox under no-signaling
• The Hardy's nonlocality argument
• Experimental Test of Generalized Hardy's Paradox
• Optimal GHZ Paradox for Three Qubits