Synthesis of multi-qudit hybrid and d-valued quantum logic circuits by decomposition
Theoretical Computer Science
Quantum cryptography: A survey
ACM Computing Surveys (CSUR)
Decision Support Systems
Synthesis of quantum-logic circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Mini-maximizing two qubit quantum computations
Quantum Information Processing
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In the time since the merger of quantum mechanics and game theory was proposed formally in 1999, the two distinct perspectives apparent in this merger of applying quantum mechanics to game theory, referred to henceforth as the theory of "quantized games", and of applying game theory to quantum mechanics, referred to henceforth as "gaming the quantum", have become synonymous under the single ill-defined term "quantum game". Here, these two perspectives are delineated and a game-theoretically proper description of what makes a multiplayer, non-cooperative game quantum mechanical, is given. Within the context of this description, finding Nash equilibrium in a strictly competitive quantum game is exhibited to be equivalent to finding a solution to a simultaneous distance minimization problem in the state space of quantum objects, thus setting up a framework for a game theory inspired study of "equilibrium" behavior of quantum physical systems such as those utilized in quantum information processing and computation.