Classical systems can be contextual too: Analogue of the Mermin-Peres square
arXiv:1310.4990 · doi:10.1016/j.aop.2014.10.016
Abstract
Contextuality lays at the heart of quantum mechanics. In the prevailing opinion it is considered as a signature of 'quantumness' that classical theories lack. However, this assertion is only partially justified. Although contextuality is certainly true of quantum mechanics, it cannot be taken by itself as discriminating against classical theories. Here we consider a representative example of contextual behaviour, the so-called Mermin-Peres square, and present a discrete toy model of a bipartite system which reproduces the pattern of quantum predictions that leads to contradiction with the assumption of non-contextuality. This illustrates that quantum-like contextual effects have their analogues within classical models with epistemic constraints such as limited information gain and measurement disturbance.
16 pages, 7 figures. Final version as published in Annals of Physics
References in corpus (9)
- Hidden Variables and the Two Theorems of John Bell
- Experimentally testable state-independent quantum contextuality
- State-independent experimental test of quantum contextuality
- State-independent quantum contextuality with single photons
- Exponential complexity and ontological theories of quantum mechanics
- Nonnegative subtheories and quasiprobability representations of qubits
- Quantum cube: A toy model of a qubit
- Quantum contextuality in the Mermin-Peres square: A hidden variable perspective
- Tests against noncontextual models with measurement disturbances
Cited by in corpus (8)
- Kochen-Specker Contextuality
- Nonlocality from local contextuality
- Classical Physics and the Bounds of Quantum Correlations
- Test of the physical significance of Bell nonlocality
- Local model of a qubit in the interferometric setup
- Revisiting the admissibility of non-contextual hidden variable models in quantum mechanics
- Analysis of single-particle nonlocality through the prism of weak measurements
- Limitations imposed by complementarity