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In this paper, we have introduced an algorithm to implement a sorting network for reversible logic synthesis based on swapping bit strings. The algorithm first constructs a network in terms of n*n Toffoli gates read from left to right. The…

Hardware Architecture · Computer Science 2010-08-24 Md. Saiful Islam , Md. Rafiqul Islam , Abdullah Al Mahmud , Muhammad Rezaul karim

In this paper, we have implemented and designed a sorting network for reversible logic circuits synthesis in terms of n*n Toffoli gates. The algorithm presented in this paper constructs a Toffoli Network based on swapping bit strings.…

A rotation-based synthesis framework for reversible logic is proposed. We develop a canonical representation based on binary decision diagrams and introduce operators to manipulate the developed representation model. Furthermore, a…

Emerging Technologies · Computer Science 2013-03-26 Afshin Abdollahi , Mehdi Saeedi , Massoud Pedram

Reversible logic has attracted much research interest over the last few decades, especially due to its application in quantum computing. In the construction of reversible gates from basic gates, ancilla bits are commonly used to remove…

Emerging Technologies · Computer Science 2015-06-12 Siyao Xu

The paper discusses various applications of permutation group theory in the synthesis of reversible logic circuits consisting of Toffoli gates with negative control lines. An asymptotically optimal synthesis algorithm for circuits…

Emerging Technologies · Computer Science 2016-07-11 Dmitry V. Zakablukov

In this paper, we have introduced the notion of UselessGate and ReverseOperation. We have also given an algorithm to implement a sorting network for reversible logic synthesis based on swapping bit strings. The network is constructed in…

Hardware Architecture · Computer Science 2010-08-30 Md. Saiful Islam

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2012-08-21 Oleg Golubitsky , Dmitri Maslov

In this paper we consider circuit synthesis for n-wire linear reversible circuits using the C-NOT gate library. These circuits are an important class of reversible circuits with applications to quantum computation. Previous algorithms,…

Quantum Physics · Physics 2015-04-21 K. N. Patel , I. L. Markov , J. P. Hayes

Reversible or information-lossless circuits have applications in digital signal processing, communication, computer graphics and cryptography. They are also a fundamental requirement in the emerging field of quantum computation. We…

Quantum Physics · Physics 2007-05-23 Vivek V. Shende , Aditya K. Prasad , Igor L. Markov , John P. Hayes

This paper presents novel techniques for the synthesis of reversible networks of Toffoli gates, as well as improvements to previous methods. Gate count and technology oriented cost metrics are used. Our synthesis techniques are independent…

Quantum Physics · Physics 2011-08-01 D. Maslov , D. M. Miller , G. W. Dueck

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2010-03-10 Oleg Golubitsky , Sean M. Falconer , Dmitri Maslov

Reversible single-target gates are a generalization of Toffoli gates which are a helpful formal representation for the description of synthesis algorithms but are too general for an actual implementation based on some technology. There is…

Emerging Technologies · Computer Science 2014-08-19 Mathias Soeken , Nabila Abdessaied , Rolf Drechsler

An $(n+1)$-bit Toffoli gate is mainly utilized to construct other quantum gates and operators, such as Fredkin gates, arithmetical adders, and logical comparators, where $n \geq 2$. Several researchers introduced different methods to…

Quantum Physics · Physics 2025-11-03 Shanyan Chen , Ali Al-Bayaty , Xiaoyu Song , Marek Perkowski

Reversible logic has applications in various research areas including low-power design and quantum computation. In this paper, a rule-based optimization approach for reversible circuits is proposed which uses both negative and positive…

Quantum Physics · Physics 2012-09-06 Mona Arabzadeh , Mehdi Saeedi , Morteza Saheb Zamani

Reversible computation is gaining increasing relevance in the context of several post-CMOS technologies, the most prominent of those being Quantum computing. One of the key theoretical problem pertaining to reversible logic synthesis is the…

Emerging Technologies · Computer Science 2016-03-22 Anupam Chattopadhyay , Anubhab Baksi

Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using…

Emerging Technologies · Computer Science 2014-06-25 Anupam Chattopadhyay , Chander Chandak , Kaushik Chakraborty

Many universal reversible libraries that contain more than one gate type have been proposed in the literature. Practical implementation of reversible circuits is much easier if a single gate type is used in the circuit construction. This…

Quantum Physics · Physics 2013-06-07 Ahmed Younes

Efficient constructions for quantum logic are essential since quantum computation is experimentally challenging. This thesis develops quantum logic synthesis as a paradigm for reducing the resource overhead in fault-tolerant quantum…

Quantum Physics · Physics 2013-10-29 N. Cody Jones

Loss of every bit in traditional logic circuits involves dissipation of power in the form of heat that evolve to the environment. Reversible logic is one of the alternatives that have capabilities to mitigate this dissipation by preventing…

Hardware Architecture · Computer Science 2021-08-24 Hari Mohan Gaur , Ashutosh Kumar Singh , Umesh Ghanekar

Reversible logic circuits have been historically motivated by theoretical research in low-power electronics as well as practical improvement of bit-manipulation transforms in cryptography and computer graphics. Recently, reversible circuits…

Emerging Technologies · Computer Science 2013-03-21 Mehdi Saeedi , Igor L. Markov
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