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- W144615360 abstract "The chapter provides a short introduction to some of the basic concepts and tools of Classical Information Theory. A brief discussion of data compression, of transmission of data through noisy channels, Shannon's theorems, and Shannon entropy and channel capacity are given. The quantum part commences with a discussion of open systems and how they necessitate a generalization of the basic postulates of Quantum Mechanics. Topics include quantum states, quantum channels, generalized measurements, the Kraus Representation Theorem, Schmidt decomposition, and purification. This chapter gives an introduction of the concept of entanglement and its usefulness as a resource in Quantum Information Theory. This follows the study of the quantum analogue of the Shannon entropy— namely, the von Neumann entropy. Its properties and its interpretation as the data compression limit of a quantum information source are discussed. Schumacher's theorem on data compression for memoryless quantum information sources are discussed in detail. It shows how the tools developed in Quantum Statistical Physics, are employed to find the data compression limit for a class of quantum information sources with memory. Some examples of quantum channels are given and the different capacities of a quantum channel are discussed in brief." @default.
- W144615360 created "2016-06-24" @default.
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- W144615360 date "2006-01-01" @default.
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- W144615360 title "Course 9 Quantum entropy and quantum information" @default.
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- W144615360 doi "https://doi.org/10.1016/s0924-8099(06)80046-6" @default.
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