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Khan, Faisal Shah

Publications and source records attributed to Khan, Faisal Shah.

4 records
All sourcesNASA NTRSDOE OSTI
DOE OSTI2019

Nash Embedding and Equilibrium in Pure Quantum States

With respect to probabilistic mixtures of the strategies in non-cooperative games, quantum game theory provides guarantee of fixed-point stability, the so-called Nash equilibrium. This permits players to choose mixed quantum strategies that prepare mixed quantum states optimally under constraints. Here, we show here that fixed-point stability of Nash equilibrium can also be guaranteed for pure quantum strategies via an application of the Nash embedding theorem, permitting players to prepare pure quantum states optimally under constraints.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
DOE OSTI2018

Compiling Adiabatic Quantum Programs

We develop a non-cooperative game-theoretic model for the problem of graph minor-embedding to show that optimal compiling of adiabatic quantum programs in the sense of Nash equilibrium is possible.

Khan, Faisal Shah↗
DOE OSTI2018

Quantum games: a review of the history, current state, and interpretation

We review both theoretical and experimental developments in the area of quantum games since the inception of the subject circa 1999. Here, we will also offer a narrative on the controversy that surrounded the subject in its early days, and how this controversy has affected the development of the subject.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗