Local, non-classical model of Bell correlations
arXiv:1907.11805
Abstract
We show how the Bell correlations can be modelled locally by relaxing the joint probability relation for independent variables outside classical settings, with complex/quaternion generators for the measurement outcomes encoding a deviation from this (classical) requirement. The consideration is motivated by complementarity. We analyse the pair correlations (photons or spin 1/2 particles) based on the limitations put on complementary observables when they are modelled as classical, non-commuting operators. As complementarity comes with both single particle properties and correlations insufficiently captured by classical theory together with `non-commutativity', we argue that a complete model should allow complementary observables to have new local dependences. That is, the existing information should not be restricted to be classical (simultaneously observable). Given this new correlation model, the central question is if information theory ought to be extended accordingly in quantum physics.
arXiv comment10 pages. v2: added summary; v3: extended introduction, references added
References in corpus (11)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Eternal Black Holes in AdS
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Building up spacetime with quantum entanglement
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Traversable Wormholes via a Double Trace Deformation
- Using weak values to experimentally determine "negative probabilities" in a two-photon state with Bell correlations
- Probabilistic quantum phase-space simulation of Bell violations and their dynamical evolution
- Quantum probabilistic sampling of multipartite 60-qubit Bell inequality violations
- Building flat space-time from information exchange between quantum fluctuations