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Theory of quantum games is relatively new to the literature and itsapplications to various areas of research are being explored. It is a novelinterpretation of strategies and decisions in quantum domain. In the earlierwork on quantum games considerable attention was given to the resolution ofdilemmas present in corresponding classical games. Two separate quantum schemeswere presented by Eisert et al. and Marinatto and Weber to resolve dilemmas inPrisoners' Dilemma and Battle of Sexes games respectively. However for thelatter scheme it was argued that dilemma was not resolved. We have modified thequantization scheme of Marinatto and Weber to resolve the dilemma. We havedeveloped a generalized quantization scheme for two person non-zero sum gameswhich reduces to the existing schemes under certain conditions. Applications ofthis generalized quantization scheme to quantum information theory are studied.Measurement being ubiquitous in quantum mechanics can not be ignored in quantumgames. With the help of generalized quantization scheme we have analyzed theeffects of measurement on quantum games. Qubits are the important elements forplaying quantum games and are generally prone to decoherence due to theirinteractions with environment. An analysis of quantum games in presence ofquantum correlated noise is performed in the context of generalizedquantization scheme. Quantum key distribution is one of the key issues ofquantum information theory for the purpose of secure communication. Usingmathematical framework of generalized quantization scheme we have proposed aprotocol for quantum key distribution and a technique for quantum statetomography.

The Generalized Quantization Schemes for Games and its Application to Quantum Information