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

, Volume 11 (6) – Dec 30, 2011
9 pages

/lp/springer_journal/minimum-assured-fidelity-and-minimum-average-fidelity-in-quantum-gzRKeMi0Rl
Publisher
Springer Journals
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.

You’re reading a free preview. Subscribe to read the entire article.

DeepDyve is your personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month Explore the DeepDyve Library Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve Freelancer DeepDyve Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations