Nash equilibrium quantum states and optimal quantum data classification
Abstract
This letter reports a novel application of game theory to quantum informational processes which can be used to optimally classify data generated by these processes. To this end, the notion of simultaneously distinguishing a pure quantum state, generated by a quantum informational process, from its constituent observable states optimally - given the constraint of these observables being orthogonal to each other, is first introduced. This problem is solved via a non-cooperative game model and the affiliated solution concept of Nash equilibrium. The notion of Nash equilibrium quantum states is introduced and used to classify quantum data optimally.
Cite
@article{arxiv.1502.06215,
title = {Nash equilibrium quantum states and optimal quantum data classification},
author = {Faisal Shah Khan},
journal= {arXiv preprint arXiv:1502.06215},
year = {2015}
}
Comments
The title of this paper has been modified in the second version. The abstract has been extended a bit, and an introduction section and a discussion section have been added as well, together with some more elaboration of the idea in the section on optimal data classification near the end