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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

Homogenous Boolean function is an essential part of any cryptographic system. The ability to construct an optimized reversible circuits for homogeneous Boolean functions might arise the possibility of building cryptographic system on novel…

Quantum Physics · Physics 2007-10-04 Ahmed Younes

This article is an attempt to generalize the classical theory of reversible computing, principally developed by Bennet [IBM J. Res. Develop., 17(1973)] and by Fredkin and Toffoli [Internat. J. Theoret. Phys., 21(1982)], to the quantum case.…

Quantum Physics · Physics 2007-05-23 Massimo Pica Ciamarra

Inverse design is a powerful tool in wave-physics and in particular in photonics for compact, high-performance devices. To date, applications have mostly been limited to linear systems and it has rarely been investigated or demonstrated in…

Machine learning-based compact models provide a rapid and efficient approach for estimating device behavior across multiple input parameter variations. In this study, we introduce two reverse-design algorithms that utilize these compact…

Emerging Technologies · Computer Science 2025-08-29 Diego Ferrer , Jack Hutchins , Revanth Koduru , Sumeet Kumar Gupta , Admedullah Aziz

Quantum-dot Cellular Automata (QCA) is a new emerging technology for designing electronic circuits in nanoscale. QCA technology comes to overcome the CMOS limitation and to be a good alternative as it can work in ultra-high-speed. QCA…

Emerging Technologies · Computer Science 2020-07-07 Ali H. Majeed , Esam Alkaldy , Mohd S. Zainal , Danial MD. Nor

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

A reset controller plays a crucial role in designing hybrid systems. It restricts the initial set and redefines the reset map associated with discrete transitions, in order to guarantee the system to achieve its objective. Reset controller…

Systems and Control · Electrical Eng. & Systems 2024-05-29 Han Su , Jiyu Zhu , Shenghua Feng , Yunjun Bai , Bin Gu , Jiang Liu , Mengfei Yang , Naijun Zhan

Efficient quantum arithmetic operations are essential building blocks for complex quantum algorithms, yet few theoretical designs have been implemented in practical quantum programming frameworks. This paper presents the first complete…

Quantum Physics · Physics 2025-07-18 Heorhi Kupryianau , Marcin Niemiec

Synthesis of quaternary quantum circuits involves basic quaternary gates and logic operations in the quaternary quantum domain. In this paper, we propose new projection operations and quaternary logic gates for synthesizing quaternary logic…

Other Computer Science · Computer Science 2012-10-31 Sudhindu Bikash Mandal , Amlan Chakrabarti , Susmita Sur-Kolay

In the recent years, reversible logic has emerged as a promising technology having its applications in low power CMOS, quantum computing, nanotechnology, and optical computing. The classical set of gates such as AND, OR, and EXOR are not…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

As quantum technology advances, the efficient design of quantum circuits has become an important area of research. This paper provides an introduction to the MCT quantum circuit design problem for reversible Boolean functions with the…

Optimization and Control · Mathematics 2025-07-10 Jihye Jung , Kevin Dalmeijer , Pascal Van Hentenryck

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

Over the past two decades, photonic inverse design has emerged as a powerful approach to implement photonic devices with improved performance, or realize new functionalities. While the efforts over the first decade focused on proof of…

Optics · Physics 2026-02-24 Louise Schul , Sydney Mason , Sungjun Eun , Geun Ho Ahn , Jelena Vučković

In computational design and fabrication, neural networks are becoming important surrogates for bulky forward simulations. A long-standing, intertwined question is that of inverse design: how to compute a design that satisfies a desired…

Graphics · Computer Science 2022-08-30 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

Reversible computation has been recognised as a potential solution to the technological bottleneck in the future of computing machinery. Rolf Landauer determined the lower limit for power dissipation in computation and noted that…

Emerging Technologies · Computer Science 2019-11-18 Harun Siljak , Julien de Rosny , Mathias Fink

We present QFAST, a quantum synthesis tool designed to produce short circuits and to scale well in practice. Our contributions are: 1) a novel representation of circuits able to encode placement and topology; 2) a hierarchical approach with…

Quantum Physics · Physics 2020-03-27 Ed Younis , Koushik Sen , Katherine Yelick , Costin Iancu

Reversible computation is an unconventional form of computing that extends the standard forward-only mode of computation with the ability to execute a sequence of operations in reverse at any point during computation. As such, in this…

Logic in Computer Science · Computer Science 2021-01-19 Kyriaki Psara

The Circular Economy framework emphasizes sustainability by reducing resource consumption and waste through the reuse of components and materials. This paper presents ReLink, a computational framework for the circular design of planar…

Computational Engineering, Finance, and Science · Computer Science 2025-06-27 Maxime Escande , Kristina Shea

Quantum computing is a promising paradigm that may overcome the current computational power bottlenecks. The increasing maturity of quantum processors provides more possibilities for the development and implementation of quantum algorithms.…

Quantum Physics · Physics 2025-10-15 Ge Yan , Wenjie Wu , Yuheng Chen , Kaisen Pan , Xudong Lu , Zixiang Zhou , Yuhan Wang , Ruocheng Wang , Junchi Yan
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