Secure quantum weak oblivious transfer against individual measurements

Secure quantum weak oblivious transfer against individual measurements In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can learn one of the bits at his choice. It was found that the security of such a protocol is bounded by $$2P_{\mathrm{Alice}}^{*}+P_{\mathrm{Bob}}^{*}\ge 2$$ 2 P Alice ∗ + P Bob ∗ ≥ 2 , where $$ P_{\mathrm{Alice}}^{*}$$ P Alice ∗ is the probability with which Alice can guess Bob’s choice, and $$P_{\mathrm{Bob}}^{*}$$ P Bob ∗ is the probability with which Bob can guess both of Alice’s bits given that he learns one of the bits with certainty. Here we propose a protocol and show that as long as Alice is restricted to individual measurements, then both $$P_{\mathrm{Alice}}^{*}$$ P Alice ∗ and $$P_{\mathrm{Bob}}^{*}$$ P Bob ∗ can be made arbitrarily close to $$1/2$$ 1 / 2 , so that maximal violation of the security bound can be reached. Even with some limited collective attacks, the security bound can still be violated. Therefore, although our protocol still cannot break the bound in principle when Alice has unlimited cheating power, it is sufficient for achieving secure quantum weak oblivious transfer in practice. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Secure quantum weak oblivious transfer against individual measurements

Loading next page...
 
/lp/springer_journal/secure-quantum-weak-oblivious-transfer-against-individual-measurements-UWsDsCfqw2
Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
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/s11128-015-0970-8
Publisher site
See Article on Publisher Site

Abstract

In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can learn one of the bits at his choice. It was found that the security of such a protocol is bounded by $$2P_{\mathrm{Alice}}^{*}+P_{\mathrm{Bob}}^{*}\ge 2$$ 2 P Alice ∗ + P Bob ∗ ≥ 2 , where $$ P_{\mathrm{Alice}}^{*}$$ P Alice ∗ is the probability with which Alice can guess Bob’s choice, and $$P_{\mathrm{Bob}}^{*}$$ P Bob ∗ is the probability with which Bob can guess both of Alice’s bits given that he learns one of the bits with certainty. Here we propose a protocol and show that as long as Alice is restricted to individual measurements, then both $$P_{\mathrm{Alice}}^{*}$$ P Alice ∗ and $$P_{\mathrm{Bob}}^{*}$$ P Bob ∗ can be made arbitrarily close to $$1/2$$ 1 / 2 , so that maximal violation of the security bound can be reached. Even with some limited collective attacks, the security bound can still be violated. Therefore, although our protocol still cannot break the bound in principle when Alice has unlimited cheating power, it is sufficient for achieving secure quantum weak oblivious transfer in practice.

Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 14, 2015

References

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.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

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.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off