Titlebook: Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bi; Masanori Ohya,I. Volovich Book 2011

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Locality and Entanglement,nclude the spatial dependence of entangled states which is crucial for this problem. We will present a new approach, suggested by Volovich, to the problem of quantum nonlocality which is based on the consideration of the spatially depending entangled states and which restores locality.

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Information Dynamics and Adaptive Dynamics,icity. In 1991, the term . (ID) was proposed by Ohya with the aim of finding a common framework of treating such chaotic behaviors of different systems altogether. That is, ID is an attempt to synthesize dynamics of state change and complexity of the systems. The basic quantity in ID is called a .,

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Mathematical Models of Quantum Computer, a quantum Turing machine. QTM is a quantum version of the classical Turing machine described in Chap. .. QTM was introduced by Deutsch and has been extensively studied by Bernstein and Vasirani. The basic properties of the quantum Turing machine and quantum circuits will be described in this chapte

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,Quantum Field Theory, Locality and Entanglement,is new context. The relativistic corrections to the EPR–Bell type correlation functions for entangled states of the Dirac particles will be computed and it will be shown that the spatially depending correlations are consistent with locality.

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