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Quantum tomography in position and momentum space

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Abstract

We introduce a method of quantum tomography for a continuous variable system in position and momentum space. We consider a single two-level probe interacting with a quantum harmonic oscillator by means of a class of Hamiltonians, linear in position and momentum variables, during a tunable time span. We study two cases: the reconstruction of the wavefunctions of pure states and the direct measurement of the density matrix of mixed states. We show that our method can be applied to several physical systems where high quantum control can be experimentally achieved.

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Authors and Affiliations

  1. Departamento de Química Física, Universidad del País Vasco UPV/EHU, Apartado 644, 48080, Bilbao, Spain

    J. Casanova & E. Solano

  2. Departamento de Física, Universidad de Santiago de Chile, USACH, Casilla 307 Correo 2, Santiago, Chile

    C. E. López

  3. Instituto de Física Fundamental, CSIC, Serrano 113-bis, 28006, Madrid, Spain

    J. J. García-Ripoll

  4. Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, 6020, Innsbruck, Austria

    C. F. Roos

  5. Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020, Innsbruck, Austria

    C. F. Roos

  6. IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011, Bilbao, Spain

    E. Solano

Authors
  1. J. Casanova
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  2. C. E. López
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  3. J. J. García-Ripoll
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  4. C. F. Roos
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  5. E. Solano
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Correspondence to E. Solano.

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Casanova, J., López, C.E., García-Ripoll, J.J. et al. Quantum tomography in position and momentum space. Eur. Phys. J. D 66, 222 (2012). https://doi.org/10.1140/epjd/e2012-30016-6

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  • DOI: https://doi.org/10.1140/epjd/e2012-30016-6

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