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The problem of distributed function computation is studied, where functions to be computed is not necessarily symbol-wise. A new method to derive a converse bound for distributed computing is proposed; from the structure of functions to be…

Information Theory · Computer Science 2017-07-10 Shigeaki Kuzuoka , Shun Watanabe

Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the observation of its causes. The present work establishes that this…

Logic in Computer Science · Computer Science 2026-03-03 Clément Aubert , Jean Krivine

A circular program creates a data structure whose computation depends upon itself or refers to itself. The technique is used to implement the classic data structures circular and doubly-linked lists, threaded trees and queues, in a…

Programming Languages · Computer Science 2024-03-05 Lloyd Allison

Two-qubit logical gates are proposed on the basis of two atoms trapped in a cavity setup. Losses in the interaction by spontaneous transitions are efficiently suppressed by employing adiabatic transitions and the Zeno effect. Dynamical and…

Quantum Physics · Physics 2009-11-07 Jiannis Pachos , Herbert Walther

Reversible computation opens up the possibility of overcoming some of the hardware's current physical limitations. It also offers theoretical insights, as it enriches multiple paradigms and models of computation, and sometimes…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Clément Aubert , Ioana Cristescu

Reversible computing is a computational paradigm in which computations are deterministic in both the forward and backward direction, so that programs have well-defined forward and backward semantics. We investigate the formal semantics of…

Logic in Computer Science · Computer Science 2021-12-30 Robin Kaarsgaard , Mathys Rennela

One-time programs, computer programs which self-destruct after being run only once, are a powerful building block in cryptography and would allow for new forms of secure software distribution. However, ideal one-time programs have been…

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 circular program contains a data structure whose definition is self-referential or recursive. The use of such a definition allows efficient functional programs to be written and can avoid repeated evaluations and the creation of…

Data Structures and Algorithms · Computer Science 2022-06-28 Lloyd Allison

One-time programs are modelled after a black box that allows a single evaluation of a function, and then self-destructs. Because software can, in principle, be copied, general one-time programs exists only in the hardware token model: it…

Quantum Physics · Physics 2013-09-27 Anne Broadbent , Gus Gutoski , Douglas Stebila

Orthogonal weight matrices are used in many areas of deep learning. Much previous work attempt to alleviate the additional computational resources it requires to constrain weight matrices to be orthogonal. One popular approach utilizes…

Machine Learning · Computer Science 2020-10-01 Alexander Mathiasen , Frederik Hvilshøj

In this work, we incorporate reversibility into structured communication-based programming, to allow parties of a session to automatically undo, in a rollback fashion, the effect of previously executed interactions. This permits taking…

Programming Languages · Computer Science 2014-06-16 Francesco Tiezzi , Nobuko Yoshida

Reversible computation has been proposed as a future paradigm for energy efficient computation, but so far few implementations have been realised in practice. Quantum circuits, running on quantum computers, are one construct known to be…

Reversible computation is an emerging technology that has gained significant attention due to its critical role in quantum circuit synthesis and low-power design. This paper introduces a transformation-based method for exact synthesis of…

Quantum Physics · Physics 2025-04-28 Moein Sarvaghad-Moghaddam , Morteza Saheb Zamani , Mehdi Sedighi

In computable analysis, sequences of rational numbers which effectively converge to a real number x are used as the (rho-) names of x. A real number x is computable if it has a computable name, and a real function f is computable if there…

Computational Complexity · Computer Science 2010-06-03 Matthew S. Bauer , Xizhong Zheng

Sponge hashing is a widely used class of cryptographic hash algorithms which underlies the current international hash function standard SHA-3. In a nutshell, a sponge function takes as input a bit-stream of any length and processes it via a…

Quantum Physics · Physics 2025-01-17 Joseph Carolan , Alexander Poremba

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

Reversible logic can provide lower switching energy costs relative to all irreversible logic, including those developed by industry in semiconductor circuits, however, more research is needed to understand what is possible. Superconducting…

Superconductivity · Physics 2023-05-11 Kevin D. Osborn , Waltraut Wustmann

The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider…

Numerical Analysis · Mathematics 2018-05-08 Iria C. S. Cosme , Isaac F. Fernandes , João L. de Carvalho , Samuel Xavier-de-Souza

Deterministic synchronous systems consisting of two finite automata running in opposite directions on a shared read-only input are studied with respect to their ability to perform reversible computations, which means that the automata are…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Martin Kutrib , Andreas Malcher
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