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Loss of every bit in traditional logic circuits involves dissipation of power in the form of heat that evolve to the environment. Reversible logic is one of the alternatives that have capabilities to mitigate this dissipation by preventing…

Hardware Architecture · Computer Science 2021-08-24 Hari Mohan Gaur , Ashutosh Kumar Singh , Umesh Ghanekar

It has previously been shown that probabilistic quantum logic operations can be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the…

Quantum Physics · Physics 2009-11-07 T. B. Pittman , B. C. Jacobs , J. D. Franson

Reversible or information-lossless circuits have applications in digital signal processing, communication, computer graphics and cryptography. They are also a fundamental requirement in the emerging field of quantum computation. We…

Quantum Physics · Physics 2007-05-23 Vivek V. Shende , Aditya K. Prasad , Igor L. Markov , John P. Hayes

Block matrix structure is commonly arising is various physics and engineering applications. There are various advantages in preserving the blocks structure while computing the inversion of such partitioned matrices. In this context, using…

Numerical Analysis · Mathematics 2023-11-22 R. Thiru Senthil

Noise-based logic, by utilizing its multidimensional logic hyperspace, has significant potential for low-power parallel operations in beyond-Moore-chips. However universal gates for Boolean logic thus far had to rely on either time…

Other Computer Science · Computer Science 2011-12-06 Ferdinand Peper , Laszlo B. Kish

Conventional approaches to fault-tolerant quantum computing realize logical circuits gate-by-gate, synthesizing each gate independently on one or more code blocks. This incurs excess overhead and doesn't leverage common structures in…

Quantum Physics · Physics 2026-02-02 Zhuangzhuang Chen , Jack Owen Weinberg , Narayanan Rengaswamy

A method for the implementation of a universal set of fault-tolerant logical gates is presented using homological product codes. In particular, it is shown that one can fault-tolerantly map between different encoded representations of a…

Quantum Physics · Physics 2019-02-06 Tomas Jochym-O'Connor

In this article we present an implementation of non-monotonic reasoning in an embedded system. As a part of an autonomous motor-glider, it simulates piloting decisions of an airplane. A real pilot must take care not only about the…

Artificial Intelligence · Computer Science 2019-09-23 José Luis Vilchis Medina , Pierre Siegel , Vincent Risch , Andrei Doncescu

In modern computers, computation is performed by assembling together sets of logic gates. Popular gates like AND, OR, XOR, processing two logic inputs and yielding one logic output, are often addressed as irreversible logic gates where the…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Miquel Lopez-Suarez , Igor Neri , Luca Gammaitoni

Nanomagnetic logic, in which the outcome of a computation is embedded into the energy hierarchy of magnetostatically coupled nanomagnets, offers an attractive pathway to implement in-memory computation. This computational paradigm avoids…

Applied Physics · Physics 2025-07-08 Pieter Gypens , Naëmi Leo , Matteo Menniti , Paolo Vavassori , Jonathan Leliaert

The composite rotation approach has been used to develop a range of robust quantum logic gates, including single qubit gates and two qubit gates, which are resistant to systematic errors in their implementation. Single qubit gates based on…

Quantum Physics · Physics 2009-11-11 Li Xiao , Jonathan A. Jones

Probabilistic computers replace logic gates with networks of interacting random variables, creating bidirectional systems that can back-derive inputs from outputs. Such architectures enable efficient generation of random samples,…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Shreyes Nallan , Jian-Gang Zhu

Atomic-scale logic and the minimization of heating (dissipation) are both very high on the agenda for future computation hardware. An approach to achieve these would be to replace networks of transistors directly by classical reversible…

Quantum Physics · Physics 2015-09-14 B. Antonio , J. Randall , W. K. Hensinger , G. W. Morley , S. Bose

Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using…

Emerging Technologies · Computer Science 2014-06-25 Anupam Chattopadhyay , Chander Chandak , Kaushik Chakraborty

Monolithic three-dimensional integration of memory and logic circuits could dramatically improve performance and energy efficiency of computing systems. Some conventional and emerging memories are suitable for vertical integration,…

Emerging Technologies · Computer Science 2015-09-11 Gina C. Adam , Brian D. Hoskins , Mirko Prezioso , Dmitri B. Strukov

Quantum computing can be realized with numerous different hardware platforms and computational protocols. A highly promising approach to foster scalability is to apply a photonic platform combined with a measurement-induced quantum…

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

Statistical Mechanics · Physics 2021-08-25 Chloe Ya Gao , David T. Limmer

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

The implementation of fault-tolerant quantum gates on encoded logic qubits is considered. It is shown that transversal implementation of logic gates based on simple geometric control ideas is problematic for realistic physical systems…

Quantum Physics · Physics 2009-10-30 R. Nigmatullin , S. G. Schirmer

Probabilistic circuits (PCs) offer a promising avenue to perform embedded reasoning under uncertainty. They support efficient and exact computation of various probabilistic inference tasks by design. Hence, hardware-efficient computation of…

Machine Learning · Computer Science 2024-05-24 Lingyun Yao , Martin Trapp , Jelin Leslin , Gaurav Singh , Peng Zhang , Karthekeyan Periasamy , Martin Andraud