# 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

, Volume 14 (6) – Mar 14, 2015
18 pages

/lp/springer_journal/secure-quantum-weak-oblivious-transfer-against-individual-measurements-UWsDsCfqw2
Publisher
Springer US
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

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