Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE International Conference on Cognitive Informatics

On efficien quantum algorithm using classical amplificatio process

Satoshi Iriyama, Masanori Ohya

Published Aug 1, 2014• 0 citations
Publisher

Abstract

Ohya and Volovich proposed the polynomial time quantum algorithm to solve SAT problem which is one of NP-complete problems. This algorithm contains effective amplification process, so called a Chaos Amplifie, based on classical Chaotic dynamics. Recently we described this process by the GKSL master equation on two qubits system. In this talk, we introduce an efficien quantum algorithm for searching problem using the Chaos Amplifie.

DOI
10.1109/icci-cc.2014.6921446

Related papers

Generalized quantum Turing machine and its use to find an algorithm solving NP-Complete problem

Satoshi Iriyama, Masanori Ohya

Ohya and Volovich found the quantum algorithm with a chaos dynamics, called the OV SAT algorithm which enabled to solve NP-Complete problem in polynomial time. It is proved that the unitary operator of the quantum algorithm can be constructed by a product of so called fundamental gates. To discuss the computational complexity rigorously, we introduced a generalized quantum Turing machine(GQTM) where the computational process is given by quantum channels including a dispative dynamics and the configuration is represented by density operators. In this paper, we explain the GQTM and the OV SAT algorithm, then we discuss the computational complexity of OV SAT algorithm. Finally, we introduce some resent results and topics by use of GQTM.

International Symposium on Applied Sciences in Biomedical and Communication Technologies•Nov 1, 2010•1 citation

Generalized Quantum Turing Machine and Its Use to Find an Algorithm Solving NP-Complete Problem (Invited Paper)

Satoshi Iriyama, Masanori Ohya

Ohya and Volovich found the quantum algorithm with a chaos dynamics, called the OV SAT algorithm which enabled to solve NP-Complete problem in polynomial time. It is proved that the unitary operator of the quantum algorithm can be constructed by a product of so called fundamental gates. To discuss the computational complexity rigorously, we intro- duced a generalized quantum Turing machine(GQTM) where the computational process is given by quantum channels including a dispative dynamics and the configuration is represented by density operators. In this paper, we explain the GQTM and the OV SAT algorithm, then we discuss the computational complexity of OV SAT algorithm. Finally, we introduce some resent results and topics by use of GQTM.

•Jan 1, 2010•0 citations

Estimation of Complexity for the Ohya-Masuda-Volovich SAT Algorithm

Shigeo Akashi, Satoshi Iriyama

Ohya and Volovich have been proposed a new quantum computation model with chaos amplification to solve the SAT problem, which went beyond usual quantum algorithm. In this paper we study the complexity of the SAT algorithm by counting the steps of computation algorithm rigorously, which was mentioned in the paper [1,2,3,5,7]For this purpose, we refine the quantum gates treating the SAT problem step by step.

arXiv:quant-ph/0312074•Dec 9, 2003•1 citation

GENERALIZED QUANTUM TURING MACHINE AND ITS APPLICATION TO THE SAT CHAOS ALGORITHM

Satoshi Iriyama, Masanori Ohya, Igor Vasil'evich Volovich

Ohya and Volovich have proposed a new quantum computation model with chaotic amplification to solve the SAT problem, which went beyond usual quantum algorithm. In this paper, we generalize quantum Turing machine, and we show in this general quantum Turing machine (GQTM) that we can treat the Ohya-Volovich (OV) SAT algorithm.

arXiv:quant-ph/0405191•Mar 1, 2006•22 citations

Chaos Amplification Process Can Be Described by the GKSL Master Equation

K. Furusho, Satoshi Iriyama, M. Ohya

In 2000, Ohya et al. proposed a quantum algorithm with the amplification process of success probability, so-called chaos amplifier. They defined the process based on the logistic map, and its chaos behaviour amplifies the probability very fast. In this paper, we construct the chaos amplifier using a lifting map, a master equation and a partial trace. We also calculate the condition on the Lindblad operators in the GKSL master equation to achieve an effective amplification.

Open Systems & Information Dynamics•Jun 1, 2017•1 citation

On Generalized Quantum Turing Machine and Its Applications

Satoshi Iriyama, Masanori Ohya

Ohya and Volovich discussed a quantum algorithm for the SAT problem with a chaos amplification process (OMV SAT algorithm) and showed that the number of steps it performed was polynomial in input size. In this paper, we define a generalized quantum Turing machine (GQTM) and related computational complexity. Then we show that there exists a GQTM which recognizes the SAT problem in polynomial time. Moreover, we discuss the problem of finding the quantum algorithm for a partial recursive function.

Open Systems & Information Dynamics•Aug 13, 2009•0 citations
Ohya and Volovich proposed the polynomial time quantum algorithm to solve SAT problem which is one of NP-complete problems. This algorithm contains effective amplification process, so called a Chaos Amplifie, based on classical Chaotic dynamics. Recently we described this process by the GKSL master equation on two qubits system. In this talk, we introduce an efficien quantum algorithm for searching problem using the Chaos Amplifie.
Ohya and Volovich found the quantum algorithm with a chaos dynamics, called the OV SAT algorithm which enabled to solve NP-Complete problem in polynomial time. It is proved that the unitary operator of the quantum algorithm can be constructed by a product of so called fundamental gates. To discuss the computational complexity rigorously, we introduced a generalized quantum Turing machine(GQTM) where the computational process is given by quantum channels including a dispative dynamics and the configuration is represented by density operators. In this paper, we explain the GQTM and the OV SAT algorithm, then we discuss the computational complexity of OV SAT algorithm. Finally, we introduce some resent results and topics by use of GQTM.
Ohya and Volovich found the quantum algorithm with a chaos dynamics, called the OV SAT algorithm which enabled to solve NP-Complete problem in polynomial time. It is proved that the unitary operator of the quantum algorithm can be constructed by a product of so called fundamental gates. To discuss the computational complexity rigorously, we intro- duced a generalized quantum Turing machine(GQTM) where the computational process is given by quantum channels including a dispative dynamics and the configuration is represented by density operators. In this paper, we explain the GQTM and the OV SAT algorithm, then we discuss the computational complexity of OV SAT algorithm. Finally, we introduce some resent results and topics by use of GQTM.