Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions

Martin Lukac; Marek Perkowski; Michitaka Kameyama

doi:10.1109/CEC.2010.5585969

Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions

Martin Lukac, Marek Perkowski, Michitaka Kameyama

INF - Computer and Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

15 Citations (Scopus)

Abstract

It has been experimentally proven that realizing universal quantum gates using higher-radices logic is practically and technologically possible. We developed a Parallel Genetic Algorithm that synthesizes Boolean reversible circuits realized with a variety of quantum gates on qudits with various radices. We describe the experiments that we conducted using GPU programming. Various approaches to fitness function formulation were applied to obtain various realizations of well known universal Boolean reversible quantum gates.

Original language	English
Title of host publication	2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010
DOIs	https://doi.org/10.1109/CEC.2010.5585969
Publication status	Published - 2010
Event	2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010 - Barcelona, Spain Duration: 2010 Jul 18 → 2010 Jul 23

Publication series

Name	2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010

Other

Other	2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010
Country/Territory	Spain
City	Barcelona
Period	10/7/18 → 10/7/23

ASJC Scopus subject areas

Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1109/CEC.2010.5585969

Cite this

Lukac, M., Perkowski, M., & Kameyama, M. (2010). Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions. In 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010 [5585969] (2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010). https://doi.org/10.1109/CEC.2010.5585969

Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions. / Lukac, Martin; Perkowski, Marek; Kameyama, Michitaka.

2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010. 2010. 5585969 (2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lukac, M, Perkowski, M & Kameyama, M 2010, Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions. in 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010., 5585969, 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010, 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010, Barcelona, Spain, 10/7/18. https://doi.org/10.1109/CEC.2010.5585969

Lukac M, Perkowski M, Kameyama M. Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions. In 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010. 2010. 5585969. (2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010). https://doi.org/10.1109/CEC.2010.5585969

Lukac, Martin ; Perkowski, Marek ; Kameyama, Michitaka. / Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions. 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010. 2010. (2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010).

@inproceedings{89f0ea90c25447e38863b4d5ffa1a179,

title = "Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions",

abstract = "It has been experimentally proven that realizing universal quantum gates using higher-radices logic is practically and technologically possible. We developed a Parallel Genetic Algorithm that synthesizes Boolean reversible circuits realized with a variety of quantum gates on qudits with various radices. We describe the experiments that we conducted using GPU programming. Various approaches to fitness function formulation were applied to obtain various realizations of well known universal Boolean reversible quantum gates.",

author = "Martin Lukac and Marek Perkowski and Michitaka Kameyama",

year = "2010",

doi = "10.1109/CEC.2010.5585969",

language = "English",

isbn = "9781424469109",

series = "2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010",

booktitle = "2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010",

note = "2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010 ; Conference date: 18-07-2010 Through 23-07-2010",

}

TY - GEN

T1 - Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions

AU - Lukac, Martin

AU - Perkowski, Marek

AU - Kameyama, Michitaka

PY - 2010

Y1 - 2010

N2 - It has been experimentally proven that realizing universal quantum gates using higher-radices logic is practically and technologically possible. We developed a Parallel Genetic Algorithm that synthesizes Boolean reversible circuits realized with a variety of quantum gates on qudits with various radices. We describe the experiments that we conducted using GPU programming. Various approaches to fitness function formulation were applied to obtain various realizations of well known universal Boolean reversible quantum gates.

AB - It has been experimentally proven that realizing universal quantum gates using higher-radices logic is practically and technologically possible. We developed a Parallel Genetic Algorithm that synthesizes Boolean reversible circuits realized with a variety of quantum gates on qudits with various radices. We describe the experiments that we conducted using GPU programming. Various approaches to fitness function formulation were applied to obtain various realizations of well known universal Boolean reversible quantum gates.

UR - http://www.scopus.com/inward/record.url?scp=79959424235&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79959424235&partnerID=8YFLogxK

U2 - 10.1109/CEC.2010.5585969

DO - 10.1109/CEC.2010.5585969

M3 - Conference contribution

AN - SCOPUS:79959424235

SN - 9781424469109

T3 - 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010

BT - 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010

T2 - 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010

Y2 - 18 July 2010 through 23 July 2010

ER -

Evolutionary quantum logic synthesis of Boolean reversible logic circuits embedded in ternary quantum space using structural restrictions

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this