2015/02/22 by Faisal Shah Khan, Khan, Faisal Shah
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1502.06215
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
openalex publication_date 2015/02/22 · arxiv created 2015/07/27 · arxiv updated 2015/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.