A toy model for quantum mechanics
arXiv:0705.2742 · doi:10.1007/s10701-007-9171-3
Abstract
The toy model used by Spekkens [R. Spekkens, Phys. Rev. A 75, 032110 (2007)] to argue in favor of an epistemic view of quantum mechanics is extended by generalizing his definition of pure states (i.e. states of maximal knowledge) and by associating measurements with all pure states. The new toy model does not allow signaling but, in contrast to the Spekkens model, does violate Bell-CHSH inequalities. Negative probabilities are found to arise naturally within the model, and can be used to explain the Bell-CHSH inequality violations.
in which the author breaks his vow to never use the words "ontic" and "epistemic" in public
References in corpus (6)
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Cited by in corpus (18)
- Kochen-Specker Contextuality
- The completeness of quantum theory for predicting measurement outcomes
- Introduction to the book "Quantum Theory: Informational Foundations and Foils"
- Quasi-quantization: classical statistical theories with an epistemic restriction
- Quantum from principles
- Why interference phenomena do not capture the essence of quantum theory
- Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction
- Quantum cube: A toy model of a qubit
- SIC-POVMs and Compatibility among Quantum States
- A general framework for phase and interference
- Classical Simulation of Noncontextual Pauli Hamiltonians
- Quantifying continuous-variable realism
- Interferometric computation beyond quantum theory
- On defining the Hamiltonian beyond quantum theory
- Counterfactual restrictions and Bell's theorem
- Depicting qudit quantum mechanics and mutually unbiased qudit theories
- A consolidating review of Spekkens' toy theory
- Sufficiency of the counterfactual account of Lüders' rule to rule out ontological models of quantum mechanics