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Scientific computation is a discipline that combines numerical analysis, physical understanding, algorithm development, and structured programming. Several yottacycles per year on the world's largest computers are spent simulating problems…

Programming Languages · Computer Science 2018-01-10 Matthew G. Knepley

By considering quantum computation as a communication process, we relate its efficiency to a communication capacity. This formalism allows us to rederive lower bounds on the complexity of search algorithms. It also enables us to link the…

Quantum Physics · Physics 2009-11-06 S. Bose , L. Rallan , V. Vedral

We initiate the systematic study of experimental quantum physics from the perspective of computational complexity. To this end, we define the framework of quantum algorithmic measurements (QUALMs), a hybrid of black box quantum algorithms…

Quantum Physics · Physics 2022-03-09 Dorit Aharonov , Jordan Cotler , Xiao-Liang Qi

We demonstrate that behavioral probabilities of human decision makers share many common features with quantum probabilities. This does not imply that humans are some quantum objects, but just shows that the mathematics of quantum theory is…

Neurons and Cognition · Quantitative Biology 2017-04-05 V. I. Yukalov , D. Sornette

Contemporary intelligent systems incorporate software components, including machine learning components. As they grow in complexity and data volume such machine learning systems face unique quality challenges like scalability and…

Software Engineering · Computer Science 2025-01-22 Simeon Emanuilov , Aleksandar Dimov

Computing is a high-level process of a physical system. Recent interest in non-standard computing systems, including quantum and biological computers, has brought this physical basis of computing to the forefront. There has been, however,…

Emerging Technologies · Computer Science 2023-04-21 Dominic Horsman , Susan Stepney , Rob C. Wagner , Viv Kendon

We introduce a constraint-based framework for studying infinite qualitative simulations concerned with contingencies such as time, space, shape, size, abstracted into a finite set of qualitative relations. To define the simulations, we…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Sebastian Brand

This paper explores the space of (propositional) probabilistic logical languages, ranging from a purely `qualitative' comparative language to a highly `quantitative' language involving arbitrary polynomials over probability terms. While…

Logic · Mathematics 2023-08-17 Duligur Ibeling , Thomas Icard , Krzysztof Mierzewski , Milan Mossé

What makes quantum information science a science? These notes explore the idea that quantum information science may offer a powerful approach to the study of complex quantum systems. We discuss how to quantify complexity in quantum systems,…

Quantum Physics · Physics 2007-05-23 Michael A. Nielsen

Probability Quantification (PQ) predictions of the efficacy of safety-critical protective systems is challenging. Yet, the popularity of PQ methodologies (e.g., Probabilistic Risk Assessment (PRA), Quantitative Risk Analysis (QRA) and…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Martin Wortman , Ernest Kee , Pranav Kannan

The production and manipulation of quantum correlation protocols will play a central role where the quantum nature of the correlation can be used as a resource to yield properties unachievable within a classical framework is a very active…

Quantum Physics · Physics 2022-03-09 Simon J. D Phoenix , Faisal Shah Khan , Berihu Teklu

I assess the potential of quantum computation. Broad and important applications must be found to justify construction of a quantum computer; I review some of the known quantum algorithms and consider the prospects for finding new ones.…

Quantum Physics · Physics 2009-10-30 John Preskill

Reliable resource estimation and benchmarking of quantum algorithms is a critical component of the development cycle of viable quantum applications for quantum computers of all sizes. Determining critical resource bottlenecks in algorithms,…

Quantum Physics · Physics 2019-02-22 Alexandru Paler , Daniel Herr , Simon J. Devitt

Practical quantum computing is rapidly becoming a reality. To harness quantum computers' real potential in software applications, one needs to have an in-depth understanding of all such characteristics of quantum computing platforms (QCPs),…

Software Engineering · Computer Science 2021-04-30 Balwinder Sodhi , Ritu Kapur

Qubit models and methods for improving the performance of software and hardware for analyzing digital devices through increasing the dimension of the data structures and memory are proposed. The basic concepts, terminology and definitions…

Other Computer Science · Computer Science 2014-12-04 Vladimir Hahanov , Wajeb Gharibi , Svetlana Chumachenko , Eugenia Litvinova

We show that recent approaches of static analysis based on quantitative typing systems can be extended to programming languages with global state. More precisely, we define a call-by-value language equipped with operations to access a…

Programming Languages · Computer Science 2023-06-19 Sandra Alves , Delia Kesner , Miguel Ramos

We provide a framework for compositional and iterative design and verification of systems with quantitative information, such as rewards, time or energy. It is based on disjunctive modal transition systems where we allow actions to bear…

Logic in Computer Science · Computer Science 2017-02-09 Uli Fahrenberg , Jan Křetínský , Axel Legay , Louis-Marie Traonouez

Quantum computing relies on processing information within a quantum system with many continuous degrees of freedom. The practical implementation of this idea requires complete control over all of the 2^n independent amplitudes of a…

Condensed Matter · Physics 2007-05-23 M. I. Dyakonov

The interplay between process behaviour and spatial aspects of computation has become more and more relevant in Computer Science, especially in the field of collective adaptive systems, but also, more generally, when dealing with systems…

Logic in Computer Science · Computer Science 2014-06-27 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Probabilistic graphical models have emerged as a powerful modeling tool for several real-world scenarios where one needs to reason under uncertainty. A graphical model's partition function is a central quantity of interest, and its…

Artificial Intelligence · Computer Science 2021-05-25 Durgesh Agrawal , Yash Pote , Kuldeep S Meel