Information-disturbance trade-off in quantum-state discrimination

Francesco Buscemi and Massimiliano F. Sacchi
Phys. Rev. A 74, 052320 – Published 14 November 2006
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  • INTRODUCTION
  • MINIMUM DISTURBANCE FOR MINIMUM-ERROR…
  • THE GENERAL SOLUTION
  • CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    When discriminating between two pure quantum states, there exists a quantitative trade-off between the information retrieved by the measurement and the disturbance caused on the unknown state. We derive the optimal trade-off and provide the corresponding quantum measurement. Such an optimal measurement smoothly interpolates between the two limiting cases of maximal information extraction and no measurement at all.

    • Figure
    • Figure
    • Received 31 March 2006

    DOI:https://doi.org/10.1103/PhysRevA.74.052320

    ©2006 American Physical Society

    Authors & Affiliations

    Francesco Buscemi1,2 and Massimiliano F. Sacchi2,3

    • 1ERATO-SORST Quantum Computation and Information Project, Japan Science and Technology Agency, Tokyo, Japan
    • 2Dipartimento di Fisica “A. Volta” and CNISM, via Bassi 6, I-27100 Pavia, Italy
    • 3CNR–Istituto Nazionale per la Fisica della Materia, Unità di Pavia, Italy

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    Issue

    Vol. 74, Iss. 5 — November 2006

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