Titlebook: Quantum Information; An Introduction Masahito Hayashi Textbook 20061st edition Springer-Verlag Berlin Heidelberg 2006 Entanglement.Quantum

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Quantum Hypothesis Testing and Discrimination of Quantum States,ion. Hypothesis testing is not only interesting in itself but is also relevant to other topics in quantum information theory. In particular, the quantum version of Stein’s lemma, which is the central topic of this chapter, is closely related to quantum channel coding discussed in Chap. 4. Moreover,

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Classical-Quantum Channel Coding (Message Transmission),sary to indefinitely increase the redundancy. Therefore, it had been commonly believed that in order to reduce the error probability, one had to increase the redundancy indefinitely. However, in 1948, Shannon [366] showed that by using a certain type of encoding scheme, it is possible to reduce the

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Quantum Information Geometry and Quantum Estimation, The study of geometrical structures in the space of quantum states is called quantum information geometry and is an important field in quantum information theory. This chapter will examine the geometrical structure of quantum systems and discuss its applications to estimation theory.

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Analysis of Quantum Communication Protocols,ng entanglement and are therefore classically impossible. (Some of protocols introduced in this section have classical analogs.) We also examine problems such as the transmission of quantum states (quantum error correction), communication in the presence of eavesdroppers, and several other types of

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Source Coding in Quantum Systems,ence of letters (or numbers) into another sequence of letters that can reproduce the original sequence, thereby reducing the necessary storage. The compression process may therefore be regarded as an encoding. This procedure is called source coding in order to distinguish it from the channel coding

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