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arXiv · 1502.06215

Nash equilibrium quantum states and optimal quantum data classification

Faisal Shah Khan
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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.

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Faisal Shah Khan. 2015-02-22. Nash equilibrium quantum states and optimal quantum data classification. https://arxiv.org/abs/1502.06215

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