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Quantum privacy witness

Abstrakt

While it is usually known that the mean value of a single observable is enough to detect entanglement or its distillability, the counterpart of such an approach in the case of quantum privacy has been missing. Here we develop the concept of a privacy witness, i.e., a single observable that may detect the presence of the secure key even in the case of bound entanglement. Then we develop the notion of secret-key estimation based on few observables and discuss the witness decomposition into local measurements. The surprising property of the witness is that with the help of a low number of product measurements involved it may still report the key values that are strictly above distillable entanglement of the state. For an exemplary four-qubit state studied in a recent experiment [ K. Dobek et al. Phys. Rev. Lett. 106 030501 (2011)] this means 6 Pauli operator product measurements versus 81 needed to carry out the complete quantum state tomography. The present approach may be viewed as a paradigm for the general program of experimentally friendly detection and estimation of task-dedicated quantum entanglement.

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Wersja publikacji
Accepted albo Published Version
Licencja
Copyright (2012 American Physical Society)

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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
PHYSICAL REVIEW A nr 85,
ISSN: 2469-9926
Język:
angielski
Rok wydania:
2012
Opis bibliograficzny:
Banaszek K., Horodecki P., Horodecki K.: Quantum privacy witness// PHYSICAL REVIEW A. -Vol. 85, (2012),
Weryfikacja:
Politechnika Gdańska

wyświetlono 81 razy

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