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21 January 2021
 
  » arxiv » quant-ph/0410040

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An Application of Quantum Finite Automata to Interactive Proof Systems
Harumichi Nishimura ; Tomoyuki Yamakami ;
Date 5 Oct 2004
Subject Quantum Physics; Computational Complexity | quant-ph cs.CC
AbstractQuantum 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.
Source arXiv, quant-ph/0410040
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