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New quantum algorithm for studying NP-complete problems

Masanori Ohya·Igor V. Volovich
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Abstract

Ordinary approach to quantum algorithm is based on quantum Turing machine or quantum circuits. It is known that this approach is not powerful enough to solve NP-complete problems. In this paper we study a new approach to quantum algorithm which is a combination of the ordinary quantum algorithm with a chaotic dynamical system. We consider the satisfiability problem as an example of NP-complete problems and argue that the problem, in principle, can be solved in polynomial time by using our new quantum algorithm.

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Masanori Ohya, Igor V. Volovich. 2004-06-29. New quantum algorithm for studying NP-complete problems. https://doi.org/10.1016/s0034-4877(03)90002-4

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