Memory cost of temporal correlations
Abstract
A possible notion of nonclassicality for single systems can be defined on the basis of the notion of memory cost of classically simulating probabilities observed in a temporal sequence of measurements. We further explore this idea in a theory-independent framework, namely, from the perspective of general probability theories (GPTs), which includes classical and quantum theory as special examples. Under the assumption that each system has a finite memory capacity, identified with the maximal number of states perfectly distinguishable with a single measurement, we investigate what are the temporal correlations achievable with different theories, namely, classical, quantum, and GPTs beyond quantum mechanics. Already for the simplest nontrivial scenario, we derive inequalities able to distinguish temporal correlations where the underlying system is classical, quantum, or more general.
Cite
@article{arxiv.1902.06517,
title = {Memory cost of temporal correlations},
author = {Costantino Budroni and Gabriel Fagundes and Matthias Kleinmann},
journal= {arXiv preprint arXiv:1902.06517},
year = {2019}
}
Comments
15 pages, 1 figure