Walter de Gruyter, 2012. — 361 p. — ISBN 9783110273250.Quantum information theory studies the general laws of transfer, storage and processing information in systems obeying the laws of quantum mechanics. It took shape as a self-consistent area of research in the 1990s, while its origin can be traced back to the 1950-1960s, which was when the basic ideas of reliable data transmission and of Shannon's information theory were developed. At the first stage, which covers the period 1960-1980, the main issue consisted of the fundamental restrictions on the possibilities of information transfer and processing caused by the quantum-mechanical nature of its carrier. Modern technological developments, relying upon the achievements of quantum electronics and quantum optics, suggest that in the foreseeable future such restrictions will become the main obstacle limiting further extrapolation of existing technologies and principles of information processing. The emergence, in the 1980-1990s, of the ideas of the quantum computing, quantum cryptography and the new communication protocols, on the other hand, allowed discussing not only the restrictions, but also the new possibilities created by the use of specific quantum resources, such as quantum entanglement, quantum complementarity, and quantum parallelism. Quantum information theory provides the clue to understanding these fundamental issues, and stimulates the development of experimental physics, with potential importance to new, effective applications. At present, investigations in the area of quantum information science, including information theory, its experimental aspects and technological developments, are ongoing in advanced research centers throughout the world.Basic structures Vectors and operators States, observables, statistics Composite systems and entanglement The primary coding theorems Classical entropy and information The classical-quantum channel Channels and entropies Quantum evolutions and channels Quantum entropy and information quantities The classical capacity of quantum channel Entanglement-assisted classical communication Transmission of quantum information Channels with constrained inputs Gaussian systems
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