Communication channels analogous to one out of two oblivious transfers based on quantum uncertainty

Journal Article · Fri Nov 01 04:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.052316· OSTI ID:20632271

Shimizu, Kaoru ^[1]; Imoto, Nobuyuki ^[2]

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1. NTT Basic Research Laboratories, 3-1 Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198 (Japan)
2. SOKEN, Graduate University for Advanced Studies, Hayama, Kanagawa 240-0193 (Japan)

This paper proposes a cryptographic quantum communication scheme analogous to one out of two oblivious transfers based on quantum conjugate coding defined in a four-dimensional Hilbert space. The quantum uncertainty principle ensures that our scheme can satisfy the following two conditions: (i) a sender, Bob, can encode two bits of information X is a member of {l_brace}0,1{r_brace} and Y is a member of {l_brace}0,1{r_brace}, but a receiver, Alice, can only obtain either X or Y dependent on her choice; and (ii) honest Bob, who attempts to encode (X,Y), cannot reveal Alice's choice. By contrast, when malicious Bob tries to reveal her choice, honest Alice can detect malicious Bob with a finite probability. Moreover, by using our proposed scheme many times, we can construct a protocol for quantum bit commitment (QBC) from Alice to Bob. Contrary to common belief, the security of our QBC protocol may not be violated by the well-known no-go theorem of QBC. This is because our QBC protocol does not meet the assumptions in which the no-go theorem holds.

• OSTI ID: 20632271
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 66; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DATA TRANSMISSION
ENERGY LEVELS
HILBERT SPACE
INFORMATION
PROBABILITY
QUANTUM MECHANICS
SECRECY PROTECTION
UNCERTAINTY PRINCIPLE