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Phys. Rev. A 64, 064302 (2001) [4 pages]

Quantum gambling using two nonorthogonal states

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Won Young Hwang*, Doyeol Ahn†, and Sung Woo Hwang‡
Institute of Quantum Information Processing and Systems, University of Seoul 90, Jeonnong, Tongdaemoon, Seoul 130-743, Korea

Received 11 January 2001; published 9 November 2001

We give a (remote) quantum-gambling scheme that makes use of the fact that quantum nonorthogonal states cannot be distinguished with certainty. In the proposed scheme, two participants Alice and Bob can be regarded as playing a game of making guesses on identities of quantum states that are in one of two given nonorthogonal states: if Bob makes a correct (an incorrect) guess on the identity of a quantum state that Alice has sent, he wins (loses). It is shown that the proposed scheme is secure against the nonentanglement attack. It can also be shown heuristically that the scheme is secure in the case of the entanglement attack.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.064302
DOI:
10.1103/PhysRevA.64.064302
PACS:
03.67.Dd

*Present address: ERATO Quantum Computation and Information Project, JST, Daini Hongo White Bldg., 5-28-3, Hongo, Bunkyo, Tokyo 133-0033, Japan. Email address: wyhwang@qci.jst.go.jp

†Also at Department of Electrical Engineering, University of Seoul, Seoul 130-743, Korea. Email address: dahn@uoscc.uos.ac.kr

‡Permanent address: Department of Electronics Engineering, Korea University, 5-1 Anam, Sungbook-ku, Seoul 136-701, Korea.

 
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