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Most continuous mathematical formulations arising in science and engineering can only be solved numerically and therefore approximately. We shall always assume that we're dealing with a numerical approximation to the solution. There are two…

量子物理 · 物理学 2007-12-10 A. Papageorgiou , J. F. Traub

In this paper, we present a Hoare-style logic for reasoning about quantum programs with classical variables. Our approach offers several improvements over previous work: (1) Enhanced expressivity of the programming language: Our logic…

编程语言 · 计算机科学 2026-04-21 Mingsheng Ying

Quantum language models have shown competitive performance on sequential tasks, yet whether trained quantum circuits exploit genuinely quantum resources -- or merely embed classical computation in quantum hardware -- remains unknown. Prior…

量子物理 · 物理学 2026-03-30 Nathan Roll

The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general first- and second-class constraints from the point of view of…

高能物理 - 理论 · 物理学 2007-05-23 John R. Klauder

Answer Set Programming with Quantifiers ASP(Q) extends Answer Set Programming (ASP) to allow for declarative and modular modeling of problems from the entire polynomial hierarchy. The first implementation of ASP(Q), called qasp, was based…

人工智能 · 计算机科学 2023-05-18 Wolfgang Faber , Giuseppe Mazzotta , Francesco Ricca

Image processing is one of the most promising applications for quantum machine learning (QML). Quanvolutional Neural Networks with non-trainable parameters are the preferred solution to run on current and near future quantum devices. The…

量子物理 · 物理学 2024-10-10 Daniele Lizzio Bosco , Beatrice Portelli , Giuseppe Serra

Let $f$ denote length preserving function on words. A classical algorithm can be considered as $T$ iterated applications of black box representing $f$, beginning with input word $x$ of length $n$. It is proved that if $T=O(2^{n/(7+e)}), e…

量子物理 · 物理学 2007-05-23 Yuri Ozhigov

The transition from a classical to quantum theory is investigated within the context of orthogonal and symplectic Clifford algebras, first for particles, and then for fields. It is shown that the generators of Clifford algebras have the…

数学物理 · 物理学 2011-04-13 Matej Pavšič

Dependency Quantified Boolean Formulas (DQBF) generalize QBF by explicitly specifying which universal variables each existential variable depends on, instead of relying on a linear quantifier order. The satisfiability problem of DQBF is…

计算机科学中的逻辑 · 计算机科学 2025-11-18 Long-Hin Fung , Che Cheng , Jie-Hong Roland Jiang , Friedrich Slivovsky , Tony Tan

We present a method for computing stable models of normal logic programs, i.e., logic programs extended with negation, in the presence of predicates with arbitrary terms. Such programs need not have a finite grounding, so traditional…

计算机科学中的逻辑 · 计算机科学 2017-09-05 Kyle Marple , Elmer Salazar , Gopal Gupta

Programming-by-example (PBE) is a synthesis paradigm that allows users to generate functions by simply providing input-output examples. While a promising interaction paradigm, synthesis is still too slow for realtime interaction and more…

机器学习 · 计算机科学 2020-02-10 Kairo Morton , William Hallahan , Elven Shum , Ruzica Piskac , Mark Santolucito

Based on the linearity of quantum unitary operations, we propose a method that runs the parameterized quantum circuits before encoding the input data. This enables a dataset owner to train machine learning models on quantum cloud…

量子物理 · 物理学 2024-10-10 Guang Ping He

Quantum algorithm is an algorithm for solving mathematical problems using quantum systems encoded as information, which is found to outperform classical algorithms in some specific cases. The objective of this study is to develop a quantum…

量子物理 · 物理学 2021-01-26 Theerapat Tansuwannont , Surachate Limkumnerd , Sujin Suwanna , Pruet Kalasuwan

A school of thought contends that human decision making exhibits quantum-like logic. While it is not known whether the brain may indeed be driven by actual quantum mechanisms, some researchers suggest that the decision logic is…

量子物理 · 物理学 2020-04-10 Alex Bocharov , Michael Freedman , Eshan Kemp , Martin Roetteler , Krysta M. Svore

The state-of-the-art researches indicate that analytic algorithms are promising in handling complex floorplanning scenarios. However, it is challenging to generate compact floorplans with excellent wirelength optimization effect due to the…

机器学习 · 计算机科学 2025-09-29 Xinyan Meng , Huabin Cheng , Rujie Chen , Ning Xu , Yu Chen , Wei Zhang

A new method is proposed for determining the ground state wave function of a quantum many-body system on a quantum computer, without requiring an initial trial wave function that has good overlap with the true ground state. The technique of…

量子物理 · 物理学 2017-09-26 David B. Kaplan , Natalie Klco , Alessandro Roggero

The method of fundamental solutions (MFS) is a numerical method for solving boundary value problems involving linear partial differential equations. It is well known that it can be very effective assuming regularity of the domain and…

数值分析 · 数学 2022-03-23 Pedro R. S. Antunes

Generating large, non-trivial quantum chemistry test problems with known ground-state solutions remains a core challenge for benchmarking electronic structure methods. Inspired by planted-solution techniques from combinatorial optimization,…

量子物理 · 物理学 2025-09-23 Linjun Wang , Joshua T. Cantin , Smik Patel , Ignacio Loaiza , Rick Huang , Artur F. Izmaylov

Equilibrium logic is an approach to nonmonotonic reasoning that extends the stable-model and answer-set semantics for logic programs. In particular, it includes the general case of nested logic programs, where arbitrary Boolean combinations…

计算机科学中的逻辑 · 计算机科学 2009-12-30 David Pearce , Hans Tompits , Stefan Woltran

Nonprehensile actions such as pushing are crucial for addressing multi-object rearrangement problems. Many traditional methods generate robot-centric actions, which differ from intuitive human strategies and are typically inefficient. To…

机器人学 · 计算机科学 2025-11-03 Kejia Ren , Gaotian Wang , Andrew S. Morgan , Lydia E. Kavraki , Kaiyu Hang