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Improving the previously known best bound, we show that any recursively enumerable language can be generated with a non-returning parallel communicating (PC) grammar system having six context-free components. We also present a non-returning…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Erzsébet Csuhaj-Varjú , György Vaszil

The cellular automaton is a widely known model of both reversible and irreversible computations. The family of reversible second-order cellular automata considered in this work is appropriate both for construction of logic gates and…

Cellular Automata and Lattice Gases · Physics 2024-05-10 Alexander Yu. Vlasov

Ising machines are a form of quantum-inspired processing-in-memory computer which has shown great promise for overcoming the limitations of traditional computing paradigms while operating at a fraction of the energy use. The process of…

Optimization and Control · Mathematics 2025-07-18 Isaac K. Martin , Andrew G. Moore , John T. Daly , Jess J. Meyer , Teresa M. Ranadive

As the world enters the age of ubiquitous computing, the need for reconfigurable hardware operating close to the fundamental limits of energy consumption becomes increasingly pressing. Simultaneously, scaling-driven performance improvements…

Emerging Technologies · Computer Science 2017-09-14 Alexantrou Serb , Ali Khiat , Themis Prodromakis

The reliability of logical operations is indispensable for the reliable operation of computational systems. Since the down-sizing of micro-fabrication generates non-negligible noise in these systems, a new approach for designing…

Other Computer Science · Computer Science 2020-04-22 Tetsuya J. Kobayashi

We present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques: 1) traditional integer division, 2) Montgomery residue arithmetic, and 3) Barrett reduction. Each multiplier…

Quantum Physics · Physics 2018-01-04 Rich Rines , Isaac Chuang

A new proposal is given for designing a non-volatile, completely spin logic device, that can be reprogrammed for different functional classical logical operations. We use the concept of bias driven spin dependent circular current and…

Mesoscale and Nanoscale Physics · Physics 2021-02-04 Moumita Patra , Alok Shukla , Santanu K Maiti

Reversible circuits for SR flip flop, JK flip flop, D flip flop, T flip flop, Master Slave D flip flop and Master Slave JK flip flop have been provided with three different logical approaches. All the circuits have been optimized with the…

Quantum Physics · Physics 2007-07-31 Anindita Banerjee , Anirban Pathak

A novel model of reversible computing, the $\aleph$-calculus, is introduced. It is declarative, reversible-Turing complete, and has a local term-rewriting semantics. Unlike previously demonstrated reversible term-rewriting systems, it does…

Programming Languages · Computer Science 2022-06-14 Hannah Earley

We introduce a new programming language for expressing reversibility, Energy-Efficient Language (Eel), geared toward algorithm design and implementation. Eel is the first language to take advantage of a partially reversible computation…

Programming Languages · Computer Science 2016-05-30 Nirvan Tyagi , Jayson Lynch , Erik D. Demaine

Previous efforts on reconfigurable analog circuits mostly focused on specialized analog circuits, produced through careful co-design, or on highly reconfigurable, but relatively resource inefficient, accelerators that implement analog…

Programming Languages · Computer Science 2023-10-11 Yu-Neng Wang , Glenn Cowan , Ulrich Rührmair , Sara Achour

Existing formalisms for the algebraic specification and representation of networks of reversible agents suffer some shortcomings. Despite multiple attempts, reversible declensions of the Calculus of Communicating Systems (CCS) do not offer…

Logic in Computer Science · Computer Science 2021-03-30 Clément Aubert , Doriana Medić

Practical memristor came into picture just few years back and instantly became the topic of interest for researchers and scientists. Memristor is the fourth basic two-terminal passive circuit element apart from well known resistor,…

Emerging Technologies · Computer Science 2015-06-23 Tejinder Singh

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

The generation of reversible circuits from high-level code is an important problem in several application domains, including low-power electronics and quantum computing. Existing tools compile and optimize reversible circuits for various…

Quantum Physics · Physics 2018-04-24 Matthew Amy , Martin Roetteler , Krysta Svore

We present numerical results which show how two-bit logic gates can be used in the design of a quantum computer. We show that the Toffoli gate, which is a universal gate for all classical reversible computation, can be implemented using a…

Condensed Matter · Physics 2007-05-23 David P. DiVincenzo , John Smolin

Reversible simulation of irreversible algorithms is analyzed in the stylized form of a `reversible' pebble game. While such simulations incur little overhead in additional computation time, they use a large amount of additional memory space…

Quantum Physics · Physics 2009-10-30 Ming Li , John Tromp , Paul Vitanyi

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

Reversible Boolean Circuits are an interesting computational model under many aspects and in different fields, ranging from Reversible Computing to Quantum Computing. Our contribution is to describe a specific class of Reversible Boolean…

Logic in Computer Science · Computer Science 2024-01-05 Adriano Barile , Stefano Berardi , Luca Roversi

Structured reversible flowchart languages is a class of imperative reversible programming languages allowing for a simple diagrammatic representation of control flow built from a limited set of control flow structures. This class includes…

Programming Languages · Computer Science 2023-06-22 Robert Glück , Robin Kaarsgaard