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2 Quantum Tomographic Methods

  • Part I Quantum Estimation
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Quantum State Estimation

Part of the book series: Lecture Notes in Physics ((LNP,volume 649))

Abstract

The state of a physical system is the mathematical object that provides a complete information on the system. The knowledge of the state is equivalent to know the result of any possible measurement on the system. This chapter reviews quantum state estimation for a generic quantum system by quantum tomography i.e. from the measurement of a suitable set of observables, a quorum, on repeated preparations of the system. Topics include characterization of quora, determination of the expectation value of any operator (including the nondiagonal projectors needed to construct a matrix representation of the density operator), evaluation of pattern functions, effect of instrumental noise, and example of tomographic procedure for harmonic systems and spins.

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Authors and Affiliations

  1. Unità INFM and Dipartimento di Fisica “A. Volta”, Università di Pavia, Italia,  

    Giacomo Mauro D’Ariano & Massimiliano F. Sacchi

  2. Unità INFM and Dipartimento di Fisica, Università di Milano, Italia,  

    Matteo G.A. Paris

Authors
  1. Giacomo Mauro D’Ariano
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  2. Matteo G.A. Paris
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  3. Massimiliano F. Sacchi
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Matteo Paris Jaroslav Řeháček

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D’Ariano, G.M., Paris, M.G., Sacchi, M.F. 2 Quantum Tomographic Methods. In: Paris, M., Řeháček, J. (eds) Quantum State Estimation. Lecture Notes in Physics, vol 649. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44481-7_2

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  • DOI: https://doi.org/10.1007/978-3-540-44481-7_2

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