Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states

Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit... We study use of non-maximally entangled states (NME) in quantum teleportation (QT) of single qubit. We find that if NME states are written in the form $${| E \rangle =\sum_{j,k} {E_{jk} | j \rangle | k \rangle}}$$ , where (j, k) = 0 and 1, and maximally entangled Bell-basis is used in measurement by the sender, the ‘Minimum Assured Fidelity’ (the minimum value of fidelity for all possible information states) for QT is 2C/(1 + C), where C is the concurrence of $${| E \rangle }$$ given by C = 2|det (E)| and E is the matrix defined by the coefficients E jk . We also find the average of fidelity over various results of Bell-state measurement and its minimum value over all possible information states and discuss it for some special cases. We also show that, to evaluate quality of imperfect QT, minimum assured fidelity is a better measure than concurrence or minimum average fidelity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states

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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0348-5
Publisher site
See Article on Publisher Site

Abstract

We study use of non-maximally entangled states (NME) in quantum teleportation (QT) of single qubit. We find that if NME states are written in the form $${| E \rangle =\sum_{j,k} {E_{jk} | j \rangle | k \rangle}}$$ , where (j, k) = 0 and 1, and maximally entangled Bell-basis is used in measurement by the sender, the ‘Minimum Assured Fidelity’ (the minimum value of fidelity for all possible information states) for QT is 2C/(1 + C), where C is the concurrence of $${| E \rangle }$$ given by C = 2|det (E)| and E is the matrix defined by the coefficients E jk . We also find the average of fidelity over various results of Bell-state measurement and its minimum value over all possible information states and discuss it for some special cases. We also show that, to evaluate quality of imperfect QT, minimum assured fidelity is a better measure than concurrence or minimum average fidelity.

Journal

Quantum Information ProcessingSpringer Journals

Published: Dec 30, 2011

References

  • Teleportation of continuous quantum variables
    Braunstein, S.L.; Kimble, H.J.
  • Probabilistic teleportation of two-particle entangled state
    Shi, B.-S.; Jiang, Y.-K.; Guo, G.-C.
  • Teleportation of a two-mode entangled coherent state encoded with two-qubit information
    Mishra, M.K.; Prakash, H.
  • Probabilistic teleportation and quantum operation
    Pati, A.K.; Agrawal, P.
  • Distributed entanglement
    Coffman, V.; Kundu, J.; Wootters, W.K.

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