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Full-Text Articles in Physical Sciences and Mathematics
Quantum Multiplexers, Parrondo Games, And Proper Quantization, Faisal Shah Khan
Quantum Multiplexers, Parrondo Games, And Proper Quantization, Faisal Shah Khan
Dissertations and Theses
A quantum logic gate of particular interest to both electrical engineers and game theorists is the quantum multiplexer. This shared interest is due to the facts that an arbitrary quantum logic gate may be expressed, up to arbitrary accuracy, via a circuit consisting entirely of variations of the quantum multiplexer, and that certain one player games, the history dependent Parrondo games, can be quantized as games via a particular variation of the quantum multiplexer. However, to date all such quantizations have lacked a certain fundamental game theoretic property.
The main result in this dissertation is the development of quantizations of …
Quaternions, Octonions, And The Quantization Of Games, Aden Omar Ahmed
Quaternions, Octonions, And The Quantization Of Games, Aden Omar Ahmed
Dissertations and Theses
We present an effect on classical games that is obtained by replacing the notion of probability distribution with the notions of quantum superposition and measurement. Our particular focus will be on two and three player games where each player has precisely two pure strategic choices. Games in normal form are represented as "payoff" functions.
Game quantization requires the extension of these functions to much larger domains. The main result of this work is the co-ordinatization of these extended functions by either the quaternions or octonions in order to obtain computationally friendly versions of these functions. This computational capability is then …