A variant of Peres-Mermin proof for testing noncontextual realist models

Abstract

For any state in four-dimensional system, the quantum violation of an inequality based on the Peres-Mermin proof for testing noncontextual realist models has experimentally been corroborated. In the Peres-Mermin proof, an array of nine holistic observables for two two-qubit system was used. We, in this letter, present a new symmetric set of observables for the same system which also provides a contradiction of quantum mechanics with noncontextual realist models in a state-independent way. The whole argument can also be cast in the form of a new inequality that can be empirically tested.

3 pages, To be published in Euro. Phys. Lett

References in corpus (6)

• Hidden Variables and the Two Theorems of John Bell
• Experimentally testable state-independent quantum contextuality
• State-independent experimental test of quantum contextuality
• Experimental test of quantum contextuality in neutron interferometry
• State-independent quantum contextuality with single photons
• Proposed experiment for testing quantum contextuality with neutrons

Cited by in corpus (8)

• Optimal quantum preparation contextuality in $n$-bit parity-oblivious multiplexing task
• On the violation of L$\ddot{u}$ders bound of macrorealist and noncontextual inequalities
• Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
• Quantum violation of entropic non-contextual inequality in four-dimension
• Semi-device independent randomness certification using Mermin's proof of Kochen-Specker contextuality
• Quantum contextuality for a three-level system sans realist model
• State-independent quantum violation of noncontextuality in four dimensional space using five observables and two settings
• Two definitions of maximally $\psi$-epistemic ontological model and preparation non-contextuality