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Quantum advantage is notoriously hard to find and even harder to prove. For example the class of functions computable with classical physics actually exactly coincides with the class computable quantum-mechanically. It is strongly believed,…

Quantum Physics · Physics 2015-10-07 Howard Dale , David Jennings , Terry Rudolph

Recent investigations into the physical nature of information and fundamental limits to information transmission have revealed questions such as the possibility of superluminal data transfer or not; and whether reversible computation…

Classical Physics · Physics 2007-05-23 Michael C. Parker , Stuart D. Walker

Time-reversibility measured by the deviation of the perturbed time-reversed motion from the unperturbed one is examined for normal quantum diffusion exhibited by four classes of quantum maps with contrastive physical nature. Irrespective of…

Disordered Systems and Neural Networks · Physics 2015-05-19 Hiroaki S. Yamada , Kensuke S. Ikeda

Time reversal of vast classes of phenomena has direct implications with predictability, causality and the second principle of thermodynamics. We analyze in detail time reversibility of a paradigmatic dissipative nonlinear dynamical system,…

Chaotic Dynamics · Physics 2023-06-26 Constantino Tsallis , Ernesto P. Borges

This work examines approaches to making computational models reversible. Broadly speaking, transforming a computational model into a reversible one, i.e. reversibilizing it, means extending its operational semantics conservatively in a way…

Programming Languages · Computer Science 2026-03-05 Matteo Palazzo , Luca Roversi

We attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such different representations have been…

Dynamical Systems · Mathematics 2025-08-13 Giorgio Picci

The reverse derivative is a fundamental operation in machine learning and automatic differentiation. This paper gives a direct axiomatization of a category with a reverse derivative operation, in a similar style to that given by Cartesian…

Logic in Computer Science · Computer Science 2019-10-17 Robin Cockett , Geoffrey Cruttwell , Jonathan Gallagher , Jean-Simon Pacaud Lemay , Benjamin MacAdam , Gordon Plotkin , Dorette Pronk

The trustworthiness of AI decision-making systems is increasingly important. A key feature of such systems is the ability to provide recommendations for how an individual may reverse a negative decision, a problem known as algorithmic…

Artificial Intelligence · Computer Science 2026-05-13 Drago Plecko , Collin Wang , Elias Bareinboim

Synchronous computation models simplify the design and the verification of fault-tolerant distributed systems. For efficiency reasons such systems are designed and implemented using an asynchronous semantics. In this paper, we bridge the…

Programming Languages · Computer Science 2019-01-23 Andrei Damien , Cezara Dragoi , Alexandru Militaru , Josef Widder

Irreversibility and acausality of a sub-system are established in exactly soluble harmonic models with reversible and causal dynamics. It is shown that initial conditions, imposed on some dynamical degrees of freedom may break time reversal…

High Energy Physics - Theory · Physics 2015-05-30 Janos Polonyi

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

Rewriting logic is naturally concurrent: several subterms of the state term can be rewritten simultaneously. But state terms are global, which makes compositionality difficult to achieve. Compositionality here means being able to decompose…

Logic in Computer Science · Computer Science 2020-01-31 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

Given a set of observations generated by an optimization process, the goal of inverse optimization is to determine likely parameters of that process. We cast inverse optimization as a form of deep learning. Our method, called deep inverse…

Machine Learning · Computer Science 2018-12-04 Yingcong Tan , Andrew Delong , Daria Terekhov

This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a…

Numerical Analysis · Mathematics 2020-08-26 Barbara Kaltenbacher , William Rundell

A time machine that sends information back to the past may, in principle, be built using closed time-like curves. However, the realization of a time machine must be congruent with apparent paradoxes that arise from traveling back in time.…

General Relativity and Quantum Cosmology · Physics 2011-01-11 Hwee Kuan Lee

Reversible computing is a paradigm of computation that reflects physical reversibility, one of the fundamental microscopic laws of Nature. In this survey, we discuss topics on reversible logic elements with memory (RLEM), which can be used…

Formal Languages and Automata Theory · Computer Science 2013-09-06 Kenichi Morita

Many empirical time series are genuinely symbolic: examples range from link activation patterns in network science, DNA coding or firing patterns in neuroscience to cryptography or combinatorics on words. In some other contexts, the…

Chaotic Dynamics · Physics 2023-07-19 Lluis Arola-Fernandez , Lucas Lacasa

Voltage peaks on a conventional computer's power lines allow for the well-known dangerous DPA attacks. We show that measurement of a quantum computer's transient state during a computational step reveals information about a complete…

Computational Complexity · Computer Science 2008-01-12 Hans-Rudolf Thomann

Iterative imperative programs can be considered as infinite-state systems computing over possibly unbounded domains. Studying reachability in these systems is challenging as it requires to deal with an infinite number of states with…

Logic in Computer Science · Computer Science 2013-02-15 Arnaud Gotlieb , Tristan Denmat , Nadjib Lazaar

Process algebra ACP based on the interleaving semantics can not be reversed. We design a reversible version of APTC called RAPTC. It has algebraic laws of reversible choice, sequence, parallelism, communication, silent step and abstraction,…

Logic in Computer Science · Computer Science 2018-05-03 Yong Wang
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