Nash equilibrium quantum states and optimal quantum data classification
arXiv:1502.06215
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.
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