Quantum Gambling Using Two Non-Orthogonal States
Abstract
We give a quantum gambling scheme that makes use of the fact quantum non-orthogonal 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 which are in one of two given non-orthogonal 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 non-entanglement-attack. It can also be shown heuristically that the scheme is secure in the case of the entanglement-attack.Keywords
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