Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
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DOI：
10.1007/978-94-007-0171-7
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发表时间：
2011-01-01
期刊：
影响因子：
--
通讯作者：
Volovich, Igor
中科院分区：
文献类型：
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作者：
Ohya, Masanori;Volovich, Igor
本专著为量子信息和计算理论提供了数学基础，并应用于各种开放系统，包括纳米和生物系统。它包括算法、泛函分析、概率论、信息论、量子力学和量子场论的入门材料。除了量子算法和隐形传态等量子信息的标准材料外，作者还讨论了C*动力系统中的熵理论，量子纠缠态的时空依赖性，纠缠算子，自适应动力学，相对论量子信息以及超越通常量子图灵机的量子计算新范式。此外，还介绍了信息理论在遗传学和生命科学中的一些重要应用，以及量子光合作用的最新实验和理论发现。
This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.