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Theoretical constructs of logical gates implemented with plant roots are morphological computing asynchronous devices. Values of Boolean variables are represented by plant roots. A presence of a plant root at a given site symbolises the…

Emerging Technologies · Computer Science 2016-10-17 Andrew Adamatzky , Georgios Sirakoulis , Genaro J. Martinez , Frantisek Baluska , Stefano Mancuso

The task of logic synthesis is to map a technology-independent representation of an application to hardware-specific operations, taking into account various constraints and trading off different costs associated with the implementation.…

Logic in Computer Science · Computer Science 2023-11-22 Thomas Häner , Damian S. Steiger , Helmut G. Katzgraber

In this paper, we focus on nonlinear infinite-norm minimization problems that have many applications, especially in computer science and operations research. We set a reliable Lagrangian dual aproach for solving this kind of problems in…

Computational Complexity · Computer Science 2011-06-07 Wajeb Gharibi , Yong Xia

This paper presents a 2-output Spin-Wave Programmable Logic Gate structure able to simultaneously evaluate any pair of AND, NAND, OR, NOR, XOR, and XNOR Boolean functions. Our proposal provides the means for fanout achievement within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Abdulqader Mahmoud , Frederic Vanderveken , Christoph Adelmann , Florin Ciubotaru , Sorin Cotofana , Said Hamdioui

We design logic circuits based on the notion of zero forcing on graphs; each gate of the circuits is a gadget in which zero forcing is performed. We show that such circuits can evaluate every monotone Boolean function. By using two vertices…

Discrete Mathematics · Computer Science 2017-01-12 Daniel Burgarth , Vittorio Giovannetti , Leslie Hogben , Simone Severini , Michael Young

A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one…

Quantum Physics · Physics 2018-02-14 Zeno Toffano , François Dubois

The main task in analyzing a switching network design (including circuit-, multirate-, and photonic-switching) is to determine the minimum number of some switching components so that the design is non-blocking in some sense (e.g., strict-…

Discrete Mathematics · Computer Science 2012-04-17 Hung Q. Ngo , Atri Rudra , Anh N. Le , Thanh-Nhan Nguyen

Modular quantum computing architectures require error correction schemes that remain effective in the presence of noisy inter-processor operations. As such, minimizing the number of such operations on logical circuits partitioned across…

Quantum Physics · Physics 2026-04-24 Bruno Avritzer , Nathan Sankary

Polymorphic circuits are a special kind of digital logic components, which possess multiple build-in functions. In different environments, a polymorphic circuit would perform different functions. Evolutionary Algorithms, Binary Decision…

Emerging Technologies · Computer Science 2017-09-12 Zhifang Li , Wenjian Luo , Lihua Yue , Xufa Wang

By using the memristor's memory to both store a bit and perform an operation with a second input bit, simple Boolean logic gates have been built with a single memristor. The operation makes use of the interaction of current spikes…

Emerging Technologies · Computer Science 2014-02-18 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky

We propose a new, low-complexity solution to realize multi-input-bit gates acting on exponentially large superpositions in noise-based logic processors. Two examples are shown, the NOT gate and the CNOT gate. The operations can be executed…

Emerging Technologies · Computer Science 2018-09-19 Laszlo B. Kish , Walter Daugherity

In this paper, we address the scenario where nodes with sensor data are connected in a tree network, and every node wants to compute a given symmetric Boolean function of the sensor data. We first consider the problem of computing a…

Information Theory · Computer Science 2010-05-03 Hemant Kowshik , P. R. Kumar

A Boolean function is a function that produces a Boolean value output by logical calculation of Boolean inputs. It plays key roles in programing algorithms and design of circuits. Minimization of Boolean function is able to optimize the…

Other Computer Science · Computer Science 2014-10-07 Jiangbo Huang

Logic Programming languages and combinational circuit synthesis tools share a common "combinatorial search over logic formulae" background. This paper attempts to reconnect the two fields with a fresh look at Prolog encodings for the…

Logic in Computer Science · Computer Science 2008-12-18 Paul Tarau , Brenda Luderman

Memcomputing logic gates generalize the traditional Boolean logic gates for operation in the reverse direction. According to the literature, this functionality enables the efficient solution of computationally-intensive problems including…

Emerging Technologies · Computer Science 2024-02-02 Y. V. Pershin

We report an experimental evaluation of the "input-output surface" for a biochemical AND gate. The obtained data are modeled within the rate-equation approach, with the aim to map out the gate function and cast it in the language of logic…

Molecular Networks · Quantitative Biology 2010-10-12 V. Privman , G. Strack , D. Solenov , M. Pita , E. Katz

This paper proposes a new logic optimization paradigm based on circuit simulation, which reduces the need for Boolean computations such as SAT-solving or constructing BDDs. The paper develops a Boolean resubstitution framework to…

Logic in Computer Science · Computer Science 2020-07-07 Siang-Yun Lee , Heinz Riener , Alan Mishchenko , Robert K. Brayton , Giovanni De Micheli

Construction of parallel logic gates at nano-scale level undoubtedly improves the efficiency of computable operations. In this work we put forward a new idea of designing two distinct logical operations {\em simultaneously} in the two…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Moumita Patra , Santanu K. Maiti

Most all-optical logic processing devices reported in the literature rely on nonlinear effects, which increase implementation complexity and hinder scalability in larger optical circuits. In this work, we present the numerical modeling of…

Optics · Physics 2025-12-24 J. P. T. Rodrigues , F. L. B. Martins , J. C. do Nascimento

We discuss efficient quantum logic circuits which perform two tasks: (i) implementing generic quantum computations and (ii) initializing quantum registers. In contrast to conventional computing, the latter task is nontrivial because the…

Quantum Physics · Physics 2007-05-23 Vivek V. Shende , Stephen S. Bullock , Igor L. Markov