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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

Boolean matching is an important problem in logic synthesis and verification. Despite being well-studied for conventional Boolean circuits, its treatment for reversible logic circuits remains largely, if not completely, missing. This work…

Quantum Physics · Physics 2024-04-19 Tian-Fu Chen , Jie-Hong R. Jiang

The reversible logic can be used in various research areas, e.g. quantum computation, cryptography and signal processing. In the paper we study reversible logic circuits with additional inputs, which consist of NOT, CNOT and…

Computational Complexity · Computer Science 2016-03-22 Dmitry V. Zakablukov

Reversible computation is an emerging technology that has gained significant attention due to its critical role in quantum circuit synthesis and low-power design. This paper introduces a transformation-based method for exact synthesis of…

Quantum Physics · Physics 2025-04-28 Moein Sarvaghad-Moghaddam , Morteza Saheb Zamani , Mehdi Sedighi

In this paper, a library-based synthesis methodology for reversible circuits is proposed where a reversible specification is considered as a permutation comprising a set of cycles. To this end, a pre-synthesis optimization step is…

Quantum Physics · Physics 2012-09-04 Mehdi Saeedi , Mehdi Sedighi , Morteza Saheb Zamani

Reversible computation is one of the most promising emerging technologies of the future. The usage of reversible circuits in computing devices can lead to a significantly lower power consumption. In this paper we study reversible logic…

Emerging Technologies · Computer Science 2016-02-16 Dmitry V. Zakablukov

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

The paper discusses the gate complexity of reversible circuits with the small number of additional inputs consisting of NOT, CNOT and 2-CNOT gates. We study Shannon's gate complexity function $L(n, q)$ for a reversible circuit implementing…

Computational Complexity · Computer Science 2018-02-08 Dmitry V. Zakablukov

Reversible logic has applications in various research areas including signal processing, cryptography and quantum computation. In this paper, direct NCT-based synthesis of a given $k$-cycle in a cycle-based synthesis scenario is examined.…

Quantum Physics · Physics 2012-09-04 Mehdi Saeedi , Morteza Saheb Zamani , Mehdi Sedighi , Zahra Sasanian

Although quantum computers have the potential to efficiently solve certain problems considered difficult by known classical approaches, the design of a quantum circuit remains computationally difficult. It is known that the optimal gate…

Optimization and Control · Mathematics 2010-12-06 Srinivas Sridharan , Mile Gu , Matthew R. James , William M. McEneaney

Reversible computing is gaining high interest from researchers due to its various promises. One of the prominent advantages perceived from reversible logic is that of reduced power dissipation with many reversible gates at hand, designing a…

Hardware Architecture · Computer Science 2014-03-12 Vandana Maheshwari

We propose a method for exact circuit synthesis using a discrete gate set, as required for fault-tolerant quantum computing. Our approach translates the problem of synthesizing a gate specified by its unitary matrix into a boolean…

Quantum Physics · Physics 2025-03-20 Élie Gouzien , Nicolas Sangouard

This paper presents a heuristic cost minimization approach to synthesizing linear reversible circuits. Two bidirectional linear reversible circuit synthesis methods are introduced, the Alternating Elimination with Cost Minimization method…

Emerging Technologies · Computer Science 2014-07-02 Ben Schaeffer , Marek Perkowski

In recent years reversible logic has been considered as an important issue for designing low power digital circuits. It has voluminous applications in the present rising nanotechnology such as DNA computing, Quantum Computing, low power…

Other Computer Science · Computer Science 2010-06-24 Abu Sadat Md. Sayem , Masashi Ueda

With phenomenal growth of high speed and complex computing applications, the design of low power and high speed logic circuits have created tremendous interest. Conventional computing devices are based on irreversible logic and further…

Emerging Technologies · Computer Science 2016-08-08 Vishal Pareek

The reversible circuit synthesis problem can be reduced to permutation group. This allows Schreier-Sims Algorithm for the strong generating set-finding problem to be used to find tight bounds on the synthesis of 3-bit reversible circuits…

Quantum Physics · Physics 2013-04-26 Ahmed Younes

Reversible logic is emerging as an important research area having its application in diverse fields such as low power CMOS design, digital signal processing, cryptography, quantum computing and optical information processing. This paper…

Hardware Architecture · Computer Science 2010-08-20 Md. Saiful Islam , Muhammad Mahbubur Rahman , Zerina Begum , Mohd. Zulfiquar Hafiz , Abdullah Al Mahmud

Reversible logic has become one of the promising research directions in low power dissipating circuit design in the past few years and has found its applications in low power CMOS design, cryptography, optical information processing and…

Hardware Architecture · Computer Science 2010-08-23 Md. Saiful Islam

In this paper, a new non-search based synthesis algorithm for reversible circuits is proposed. Compared with the widely used search-based methods, our algorithm is guarantied to produce a result and can lead to a solution with much fewer…

Quantum Physics · Physics 2010-04-12 Mehdi Saeedi , Mehdi Sedighi , Morteza Saheb Zamani

Quantum circuits must run on quantum computers with tight limits on qubit and gate counts. To generate circuits respecting both limits, a promising opportunity is exploiting uncomputation to trade qubits for gates. We present Reqomp, a…

Quantum Physics · Physics 2024-02-21 Anouk Paradis , Benjamin Bichsel , Martin Vechev