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An Application of Quantum Finite Automata to Interactive Proof Systems

Harumichi Nishimura·Tomoyuki Yamakami
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Abstract

Quantum finite automata have been studied intensively since their introduction in late 1990s as a natural model of a quantum computer with finite-dimensional quantum memory space. This paper seeks their direct application to interactive proof systems in which a mighty quantum prover communicates with a quantum-automaton verifier through a common communication cell. Our quantum interactive proof systems are juxtaposed to Dwork-Stockmeyer's classical interactive proof systems whose verifiers are two-way probabilistic automata. We demonstrate strengths and weaknesses of our systems and further study how various restrictions on the behaviors of quantum-automaton verifiers affect the power of quantum interactive proof systems.

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Harumichi Nishimura, Tomoyuki Yamakami. 2004-10-05. An Application of Quantum Finite Automata to Interactive Proof Systems. https://doi.org/10.1016/j.jcss.2008.12.001

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