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The availability of large-scale datasets on which to train, benchmark and test algorithms has been central to the rapid development of machine learning as a discipline and its maturity as a research discipline. Despite considerable…

Quantum Physics · Physics 2021-08-17 Elija Perrier , Akram Youssry , Chris Ferrie

This paper describes mathlib, a community-driven effort to build a unified library of mathematics formalized in the Lean proof assistant. Among proof assistant libraries, it is distinguished by its dependently typed foundations, focus on…

Logic in Computer Science · Computer Science 2020-01-28 The mathlib Community

Quantum information processing (QIP) offers the promise of being able to do things that we cannot do with conventional technology. Here we present a new route for distributed optical QIP, based on generalized quantum non-demolition…

Quantum Physics · Physics 2009-11-11 W. J. Munro , Kae Nemoto , T. P. Spiller

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

This paper proposed a framework based on quantum computing for reliability assessment of complex systems. The 'Quantum Twin' concept was also proposed. The framework can be used to accelerate the reliability assessment of large-scale…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Shutang You

The method of using concepts and insight from quantum information theory in order to solve problems in reversible classical computing (introduced in Ref. [1]) have been generalized to irreversible classical computing. The method have been…

Quantum Physics · Physics 2008-10-22 Berry Groisman

Quantum simulations are designed to model quantum systems, and many compilation frameworks have been developed for executing such simulations on quantum computers. Most compilers leverage the capabilities of digital and analog quantum…

Quantum Physics · Physics 2025-09-26 Liyi Li , Federico Zahariev , Chandeepa Dissanayake , Jae Swanepoel , Amr Sabry , Mark S. Gordon

The optimization of system parameters is a ubiquitous problem in science and engineering. The traditional approach involves setting to zero the partial derivatives of the objective function with respect to each parameter, in order to…

Quantum Physics · Physics 2023-12-11 Kelvin Koor , Yixian Qiu , Leong Chuan Kwek , Patrick Rebentrost

Post-training quantization (PTQ) reduces the memory footprint of LLMs by quantizing weights to low-precision datatypes. Since LLM inference is usually memory-bound, PTQ methods can improve inference throughput. Recent state-of-the-art PTQ…

Machine Learning · Computer Science 2025-06-19 Albert Tseng , Qingyao Sun , David Hou , Christopher De Sa

Quantum computing is gaining increased attention as a potential way to speed up simulations of physical systems, and it is also of interest to apply it to simulations of classical plasmas. However, quantum information science is…

Plasma Physics · Physics 2024-06-19 I. Y. Dodin , E. A. Startsev

Realistic modeling of qubit systems including noise and constraints imposed by control hardware is required for performance prediction and control optimization of quantum processors. We introduce qopt, a software framework for simulating…

Quantum Physics · Physics 2022-03-30 Julian D. Teske , Pascal Cerfontaine , Hendrik Bluhm

This thesis focuses on the intersection of mathematical and computational optimization and quantum information. Main contributions are open-source software code: A hybrid approach mixing "traditional" nonconvex and convex methods can make…

Quantum Physics · Physics 2025-12-19 Benjamin Desef

A MATLAB toolbox is presented, with the goal of checking occurrences of design errors typically found in fixed-point digital systems, considering finite word-length effects. In particular, the present toolbox works as a front-end to a…

Systems and Control · Computer Science 2017-02-21 Lennon Chaves , Iury Bessa , Lucas Cordeiro , Daniel Kroening , Eddie Filho

Several concrete examples in quantum information are discussed to demonstrate the importance of proper modeling that relates the mathematical description to real-world applications. In particular, it is shown that some commonly accepted…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

Hamiltonian simulation is a central application of quantum computing, with significant potential in modeling physical systems and solving complex optimization problems. Existing compilers for such simulations typically focus on low-level…

Programming Languages · Computer Science 2025-09-29 Liyi Li , Fenfen An , Federico Zahariev , Zhi Xiang Chong , Amr Sabry , Mark S. Gordon

Formulation symmetry in mixed-integer programming (MIP) can hinder solver performance by inducing redundant search, but detecting such symmetries is also a significant computational challenge. This paper explores the potential for quantum…

Optimization and Control · Mathematics 2025-12-18 Alexander While , Chen Chen

Integrated Information Theory (IIT) has emerged as one of the leading research lines in computational neuroscience to provide a mechanistic and mathematically well-defined description of the neural correlates of consciousness. Integrated…

Quantum Physics · Physics 2018-12-11 Paolo Zanardi , Michael Tomka , Lorenzo Campos Venuti

Quantum computing (QC) promises to be a transformative technology with impact on various application domains, such as optimization, cryptography, and material science. However, the technology has a sharp learning curve, and practical…

Various physical constraints limit the number of qubits that can be implemented in a single quantum processor, and thus it is necessary to connect multiple quantum processors via quantum interconnects. While several compiler implementations…

Quantum Physics · Physics 2023-02-02 Shin Nishio , Ryo Wakizaka

We describe QWalk, a new computational package capable of performing Quantum Monte Carlo electronic structure calculations for molecules and solids with many electrons. We describe the structure of the program and its implementation of…

Computational Physics · Physics 2007-10-25 Lucas K. Wagner , Michal Bajdich , Lubos Mitas