Qudits representations and computations of n-player many-valued quantum games

摘要

This paper introduces the concept of many-valued quantum computation (MVQC) of games utilizing many-valued quantum discrete digits (qudits). Quantum decision trees (QDTs) are also introduced as quantum representations for applying MVQC to games’ dynamics. Game theory (GT) involves the study of competition and cooperation, without regard to the particular entities (agents) involved, and issues of rationality associated with such phenomena. The MVQC approach introduced in this paper can be used for modeling the (maximin) games’ dynamics using low-power consuming quantum circuits.