Bell Nonlocality in Classical Systems Coexisting with other System Types
arXiv:2301.10885 · doi:10.1103/PhysRevLett.132.190201
Abstract
The realistic interpretation of classical theory assumes that every classical system has well-defined properties, which may be unknown to the observer but are nevertheless part of reality and can in principle be revealed by measurements. Here we show that this interpretation can in principle be falsified if classical systems coexist with other types of physical systems. To make this point, we construct a toy theory that (i) includes classical theory as a subtheory and (ii) allows classical systems to be entangled with another type of systems, called anti-classical. We show that our toy theory allows for the violation of Bell inequalities in two-party scenarios where one of the settings corresponds to a local measurement performed on a classical system alone. Building on this fact, we show that measurements outcomes in classical theory cannot, in general, be regarded as pre-determined by the state of an underlying reality.
arXiv comment5+30 pages, 2 figures, minor modification
References in corpus (30)
- Bell nonlocality
- Contextuality for preparations, transformations, and unsharp measurements
- Informational derivation of Quantum Theory
- Probabilistic theories with purification
- Is the quantum state real? An extended review of -ontology theorems
- A generalized no-broadcasting theorem
- Maximally Non-Local and Monogamous Quantum Correlations
- Collective tests for quantum nonlocality
- Quasi-quantization: classical statistical theories with an epistemic restriction
- The completeness of quantum theory for predicting measurement outcomes
- Introduction to the book "Quantum Theory: Informational Foundations and Foils"
- Quantum from principles
- Super-activation of quantum non-locality
- All bipartite entangled states display some hidden nonlocality
- Quantum networks reveal quantum nonlocality
- Limited Holism and Real-Vector-Space Quantum Theory
- Physics without Determinism: Alternative Interpretations of Classical Physics
- Limits on non-local correlations from the structure of the local state space
- Activation of Non-Local Quantum Resources
- The Feynman problem and Fermionic entanglement: Fermionic theory versus qubit theory
- Indeterminism in Physics, Classical Chaos and Bohmian Mechanics. Are Real Numbers Really Real?
- Entangleability of cones
- Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory
- Microcanonical thermodynamics in general physical theories
- Classical theories with entanglement
- A structure theorem for generalized-noncontextual ontological models
- Quantum Operations in an Information Theory for Fermions
- Universal structure of objective states in all fundamental causal theories
- Process tomography in general physical theories
- Ontological models for quantum theory as functors