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We propose an approach to optimally synthesize quantum circuits from non-permutative quantum gates such as Controlled-Square-Root-of-Not (i.e. Controlled-V). Our approach reduces the synthesis problem to multiple-valued optimization and…

Logic in Computer Science · Computer Science 2011-11-09 Guowu Yang , William N. N. Hung , Xiaoyu Song , Marek Perkowski

Reversible logic has two main properties. First, the number of inputs is equal to the number of outputs. Second, it implements a one-to-one mapping; i.e., one can reconstruct the inputs from the outputs. These properties enable its…

Cryptography and Security · Computer Science 2017-12-05 Samah Mohamed Saeed , Xiaotong Cui , Robert Wille , Alwin Zulehner , Kaijie Wu , Rolf Drechsler , Ramesh Karri

Reversible logic is gaining interest of many researchers due to its low power dissipating characteristic. In this paper we proposed a new approach for designing online testable reversible circuits. The resultant testable reversible circuit…

Emerging Technologies · Computer Science 2013-12-31 Md. Selim Al Mamun , Pronab Kumar Mondal , Uzzal Kumar Prodhan

Many synthesis approaches for reversible and quantum logic have been proposed so far. However, most of them generate circuits with respect to simple metrics, i.e. gate count or quantum cost. On the other hand, to physically realize…

Quantum Physics · Physics 2010-04-27 Robert Wille , Mehdi Saeedi , Rolf Drechsler

In this paper, we introduce a novel rule for synthesis of reactive systems, applicable to systems made of n components which have each their own objectives. It is based on the notion of admissible strategies. We compare our novel rule with…

Logic in Computer Science · Computer Science 2015-07-03 Romain Brenguier , Jean-François Raskin , Ocan Sankur

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

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

The synthesis of reversible functions has been an intensively studied research area in the last decade. Since almost all proposed approaches rely on representations of exponential size (such as truth tables and permutations), they cannot be…

Emerging Technologies · Computer Science 2014-08-19 Mathias Soeken , Laura Tague , Gerhard W. Dueck , Rolf Drechsler

The paper presents a novel approach to synthesize robust controllers for nonlinear systems along perturbed trajectories. The approach linearizes the system with respect to a reference trajectory. In contrast to existing methods rooted in…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Felix Biertümpfel , Peter Seiler , Harald Pfifer

Making a reversible circuit fault-tolerant is much more difficult than classical circuit and there have been only a few works in the area of parity-preserving reversible logic design. Moreover, all of these designs are ad hoc, based on some…

Hardware Architecture · Computer Science 2013-08-06 Goutam Paul , Anupam Chattopadhyay , Chander Chandak

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

A clear protocol for synthesis of sequential reversible circuits from any particular gate library has been provided. Using that protocol, reversible circuits for SR latch, D latch, JK latch and T latch are designed from NCT gate library.…

Quantum Physics · Physics 2009-08-13 Anindita Banerjee , Anirban Pathak

An algorithm for reversible logic synthesis is proposed. The task is, for a given $n$-bit substitution map $P_n: \{0,1\}^n \rightarrow \{0,1\}^n$, to find a sequence of reversible logic gates that implements the map. The gate library…

Logic in Computer Science · Computer Science 2024-07-24 Hochang Lee , Kyung Chul Jeong , Daewan Han , Panjin Kim

This paper presents models for transforming standard reversible circuits into Linear Nearest Neighbor (LNN) architecture without inserting SWAP gates. Templates to optimize the transformed LNN circuits are proposed. All minimal LNN circuits…

Emerging Technologies · Computer Science 2015-08-25 Md. Mazder Rahman , Gerhard W. Dueck

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

Stochastic computing (SC) is an emerging computing technique which offers higher computational density, and lower power over binary-encoded (BE) computation. Unlike BE computation, SC encodes values as probabilistic bitstreams which makes…

Emerging Technologies · Computer Science 2018-10-12 Vincent T. Lee , Armin Alaghi , Luis Ceze , Mark Oskin

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.…

Linear reversible circuits represent a subclass of reversible circuits with many applications in quantum computing. These circuits can be efficiently simulated by classical computers and their size is polynomially bounded by the number of…

Quantum unitary synthesis addresses the problem of translating abstract quantum algorithms into sequences of hardware-executable quantum gates. Solving this task exactly is infeasible in general due to the exponential growth of the…

Quantum Physics · Physics 2026-02-19 Lukas Theißinger , Thore Gerlach , David Berghaus , Christian Bauckhage

Reversible circuits have been studied extensively and intensively, and have plenty of applications in various areas, such as digital signal processing, cryptography, and especially quantum computing. In 2003, the lower bound $\Omega(2^n…

Quantum Physics · Physics 2024-11-19 Xian Wu Lvzhou Li