Abstract

In this chapter, we provide the basic concepts of quantum information processing, quantum information theory, and quantum error correction. The following topics from quantum information processing will be covered: state vectors, operators, density operators, measurements, dynamics of a quantum system, superposition principle, quantum parallelism, no-cloning theorem, and entanglement. The following concepts from quantum information theory will be provided: Holevo information, accessible information, Holevo bound, Shannon Entropy and von Neumann Entropy, Schumacher’s noiseless quantum coding theorem, and Holevo–Schumacher–Westmoreland theorem. The basic concepts of quantum error correction are introduced as well.

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