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Introduction to Quantum Information

  • Gianfranco CariolaroEmail author
Chapter
Part of the Signals and Communication Technology book series (SCT)

Abstract

The theory of Quantum Information deals with the information processing with quantum states. What is interesting is that in several cases the quantum information processing can have a great advantage with respect to classical information processing and its features often find no correspondence in the classical counterparts. The main examples of quantum information processing are the quantum computer, quantum communications, quantum key distribution (QKD), and quantum teleportation. Quantum Information exhibits two forms, discrete, as the qubit, and continuous, as coherent and more generally Gaussian states. An important remark is that most of the operations in quantum information processing can be carried out both with discrete and with continuous variables (this last possibility is a quite recent discovery). The comparison of these two possibilities should be made upon practical considerations. This chapter gives an introduction to Quantum Information, which will be developed in the last three chapters. Some advanced fundamentals, not sufficiently developed before, as entanglement, partial trace, purification, will be introduced in this chapter.

Keywords

Density Operator Bell State Quantum Communication Quantum Information Processing Gaussian State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    X.B. Wang, T. Hiroshima, A. Tomita, M. Hayashi, Quantum information with Gaussian states. Phys. Rep. 448(1–4), 1–111 (2007)CrossRefMathSciNetGoogle Scholar
  2. 2.
    C.E. Shannon, A mathematical theory of communication. Bell Syst. Tech. J. 27(3), 379–423 (1948)CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)Google Scholar
  4. 4.
    A. Ferraro, S. Olivares, M. Paris, Gaussian states in continuous variable quantum information. Napoli Series on Physics and Astrophysics (ed. Bibliopolis, Napoli, 2005)Google Scholar
  5. 5.
    B.W. Schumacher, Sending entanglement through noisy quantum channels. Phys. Rev. A 54, 2614–2628 (1996)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Information EngineeringUniversity of PadovaPadovaItaly

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