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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

Now a day reversible logic is an attractive research area due to its low power consumption in the area of VLSI circuit design. The reversible logic gate is utilized to optimize power consumption by a feature of retrieving input logic from…

Hardware Architecture · Computer Science 2015-09-15 Neeraj Kumar Misra , Mukesh Kumar Kushwaha , Subodh Wairya , Amit Kumar

In fault-tolerant quantum computing, errors in unitary gate synthesis is comparable with noise inherent in the gates themselves. While mixed synthesis can suppress such coherent errors quadratically, there is no clear understanding on its…

Quantum Physics · Physics 2025-07-10 Nobuyuki Yoshioka , Seiseki Akibue , Hayata Morisaki , Kento Tsubouchi , Yasunari Suzuki

We describe a family of recursive methods for the synthesis of qubit permutations on quantum computers with limited qubit connectivity. Two objectives are of importance: circuit size and depth. In each case we combine a scalable heuristic…

Quantum Physics · Physics 2023-08-25 Cynthia Chen , Bruno Schmitt , Helena Zhang , Lev S. Bishop , Ali Javadi-Abhari

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

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

We propose a method of compiling that permits to identify quantum circuits able to simulate arbitrary $n$-qubit unitary operations via the adjustment of angles in single-qubit gates therein. The method of compiling itself extends older…

Quantum Physics · Physics 2021-01-06 Rahul P. Singh , A. Mandilara

Linear Nearest Neighbor (LNN) synthesis in reversible circuits has emerged as an important issue in terms of technological implementation for quantum computation. The objective is to obtain a LNN architecture with minimum gate cost. As…

Emerging Technologies · Computer Science 2015-03-19 Amlan Chakrabarti , Susmita Sur-Kolay , Ayan Chaudhury

The success of quantum circuits in providing reliable outcomes for a given problem depends on the gate count and depth in near-term noisy quantum computers. Quantum circuit compilers that decompose high-level gates to native gates of the…

Quantum Physics · Physics 2023-06-30 Subrata Das , Swaroop Ghosh

We give some optimal size generating sets for the group generated by shifts and local permutations on the binary full shift. We show that a single generator, namely the fully asynchronous application of the elementary cellular automaton 57…

Group Theory · Mathematics 2018-09-25 Ville Salo

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

Efficiently implementing Clifford circuits is crucial for quantum error correction and quantum algorithms. Linear reversible circuits, equivalent to circuits composed of CNOT gates, have important applications in classical computing. In…

Quantum Physics · Physics 2025-03-20 Mark Webster , Stergios Koutsioumpas , Dan E Browne

With the advent of physical qubits exhibiting strong noise bias, it becomes increasingly relevant to identify which quantum gates can be efficiently implemented on error-correcting codes designed to address a single dominant error type.…

Quantum Physics · Physics 2025-07-09 Victor Barizien , Hugo Jacinto , Nicolas Sangouard

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 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

We propose a linear-size synthesis of the multi-controlled Toffoli gate on qudits with at most one borrowed ancilla. This one ancilla can even be saved when the qudit dimension is odd. Our synthesis leads to improvements in various quantum…

Quantum Physics · Physics 2023-03-24 Wei Zi , Qian Li , Xiaoming Sun

Synthesis of reversible logic circuits has gained great atten- tion during the last decade. Various synthesis techniques have been pro- posed, some generate optimal solutions (in gate count) and are termed as exact, while others are…

Emerging Technologies · Computer Science 2017-02-27 Rajarshi Ray , Arup Deka , Kamalika Datta

In this paper, we have proposed a new design technique of BCD Adder using newly constructed reversible gates are based on NMOS with pass transistor gates, where the conventional reversible gates are based on CMOS with transmission gates. We…

Other Computer Science · Computer Science 2012-01-13 Md. Sazzad Hossain , Md. Rashedul Hasan Rakib , Md. Motiur Rahman , A. S. M. Delowar Hossain , Md. Minul Hasan

In the today's era, reversible logics are the promising technology for the designing of low power digital logic system having major application in the field of nanotechnology, quantum computation, DNA and other low power digital circuits.…

Other Computer Science · Computer Science 2013-06-12 Pradeep Singla , Aakash Gupta , Ashutosh Bhardwaj , Pulkit Basia

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