Memory cost for simulating all quantum correlations of the Peres-Mermin scenario
arXiv:1611.07515 · doi:10.1088/1751-8121/aa7ab3
Abstract
Sequences of compatible quantum measurements can be contextual and any simulation with a classical model accounting for the quantum observations, needs to use some internal memory. In Ref. [New J. Phys. 13, 113011 (2011)], it was shown that simulating the sequences of compatible observables from the Peres-Mermin scenario requires at least three different memory states in order to be not in contradiction with the deterministic predictions of quantum theory. We extend this analysis to the probabilistic quantum predictions and ask how much memory is required to simulate the quantum correlations generated by any quantum state. We find, that even in this comprehensive approach only three internal states are required for the perfect simulation of the quantum correlations in the Peres-Mermin scenario.
5+2 pages
References in corpus (7)
- State-independent experimental test of quantum contextuality
- The Communication Cost of Simulating Bell Correlations
- Experimental non-classicality of an indivisible quantum system
- State-independent quantum contextuality with single photons
- State-independent experimental tests of quantum contextuality in a three dimensional system
- Experimental implementation of a Kochen-Specker set of quantum tests
- Contextuality without nonlocality in a superconducting quantum system
Cited by in corpus (15)
- Quantum Resource Theories
- Kochen-Specker Contextuality
- Leggett-Garg macrorealism and the quantum nondisturbance conditions
- Optimal classical simulation of state-independent quantum contextuality
- Structure of temporal correlations of a qubit
- Leggett-Garg Macrorealism and temporal correlations
- Memory cost of temporal correlations
- Temporal correlations in the simplest measurement sequences
- Simulating extremal temporal correlations
- Ticking-clock performance enhanced by nonclassical temporal correlations
- The rank of contextuality
- Irreducible magic sets for -qubit systems
- Optimisation of time-ordered processes in the finite and asymptotic regime
- Experimental Approach to Demonstrating Contextuality for Qudits
- Convexity of noncontextual wirings and how they order the set of correlations