Test to separate quantum theory from non-signaling theories
arXiv:1706.02008
Abstract
A Bell test separates quantum mechanics from a classical, local realist theory of physics. However, a Bell test cannot separate quantum physics from all classical theories. Classical devices supplemented with non-signaling correlations, e.g., the Popescu-Rohrlich "nonlocal box," can pass a Bell test with probability at least as high as any quantum devices can. After all, quantum entanglement does not allow for signaling faster than the speed of light, so in a sense is a weaker special case of non-signaling correlations. It could be that underneath quantum mechanics is a deeper non-signaling theory. We present a test to separate quantum theory from powerful non-signaling theories. The test extends the CHSH game to involve three space-like separated devices. Quantum devices sharing a three-qubit GHZ state can pass the test with probability 5.1% higher than classical devices sharing arbitrary non-signaling correlations between pairs. More generally, we give a test that k space-like separated quantum devices can pass with higher probability than classical devices sharing arbitrary (k-1)-local non-signaling correlations.
arXiv comment23 pages, 7 figures
References in corpus (25)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Significant-loophole-free test of Bell's theorem with entangled photons
- Random Numbers Certified by Bell's Theorem
- A strong loophole-free test of local realism
- No Signalling and Quantum Key Distribution
- From Bell's Theorem to Secure Quantum Key Distribution
- Non-local correlations as an information theoretic resource
- Fully device independent quantum key distribution
- Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
- A limit on nonlocality in any world in which communication complexity is not trivial
- Secure device-independent quantum key distribution with causally independent measurement devices
- Free randomness can be amplified
- No extension of quantum theory can have improved predictive power
- Maximally Non-Local and Monogamous Quantum Correlations
- Guess your neighbour's input: a multipartite non-local game with no quantum advantage
- Popescu-Rohrlich correlations as a unit of nonlocality
- Universally-composable privacy amplification from causality constraints
- Secrecy extraction from no-signalling correlations
- Hidden variable models for quantum theory cannot have any local part
- Loophole-free Bell test using electron spins in diamond: second experiment and additional analysis
- Unconditionally secure device-independent quantum key distribution with only two devices
- Full security of quantum key distribution from no-signaling constraints
- On the power of non-local boxes
- Contextuality in multipartite pseudo-telepathy graph games
- Pseudo-telepathy games and genuine NS k-way nonlocality using graph states
Cited by in corpus (5)
- Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal
- Experimental demonstration of genuine tripartite nonlocality under strict locality conditions
- Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite Correlations
- Genuine network quantum nonlocality and self-testing
- No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations