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"Quantitative languages are extension of boolean languages that assign to each word a real number. Mean-payoff automata are finite automata with numerical weights on transitions that assign to each infinite path the long-run average of the…

Logic in Computer Science · Computer Science 2012-05-20 Yaron Velner

Quantum error mitigation is expected to play a crucial role in the practical applications of quantum machines for the foreseeable future. Thus it is important to put the numerous quantum error mitigation schemes proposed under a coherent…

Quantum Physics · Physics 2023-09-19 Zhenyu Cai

Question answering (QA) systems are among the most important and rapidly developing research topics in natural language processing (NLP). A reason, therefore, is that a QA system allows humans to interact more naturally with a machine,…

Computation and Language · Computer Science 2022-09-27 Amer Farea , Zhen Yang , Kien Duong , Nadeesha Perera , Frank Emmert-Streib

Finite frame quantization is a discrete version of the coherent state quantization. In the case of a quantum system with finite-dimensional Hilbert space, the finite frame quantization allows us to associate a linear operator to each…

Quantum Physics · Physics 2022-07-18 Nicolae Cotfas

Quantum cellular automata (QCA) are reviewed, including early and more recent proposals. QCA are a generalization of (classical) cellular automata (CA) and in particular of reversible CA. The latter are reviewed shortly. An overview is…

Quantum Physics · Physics 2008-08-06 K. Wiesner

Automaton-based representations of task knowledge play an important role in control and planning for sequential decision-making problems. However, obtaining the high-level task knowledge required to build such automata is often difficult.…

Formal Languages and Automata Theory · Computer Science 2023-08-11 Yunhao Yang , Jean-Raphaël Gaglione , Cyrus Neary , Ufuk Topcu

Quantum cellular automata (QCAs) are automorphisms of tensor product algebras that preserve locality, with local quantum circuits as a simple example. We study approximate QCAs, where the locality condition is only satisfied up to a small…

Quantum Physics · Physics 2026-03-10 Daniel Ranard , Michael Walter , Freek Witteveen

Variational quantum algorithms (VQAs) face an inherent trade-off between expressivity and trainability: deeper circuits can represent richer states but suffer from noise accumulation and barren plateaus, while shallow circuits remain…

Quantum Physics · Physics 2025-10-31 Shaojun Wu , Shan Jin , Abolfazl Bayat , Xiaoting Wang

Families of DFAs (FDFAs) have recently been introduced as a new representation of $\omega$-regular languages. They target ultimately periodic words, with acceptors revolving around accepting some representation $u\cdot v^\omega$. Three…

Formal Languages and Automata Theory · Computer Science 2023-07-17 Yong Li , Sven Schewe , Qiyi Tang

Question answering (QA) tasks have been posed using a variety of formats, such as extractive span selection, multiple choice, etc. This has led to format-specialized models, and even to an implicit division in the QA community. We argue…

Computation and Language · Computer Science 2020-10-08 Daniel Khashabi , Sewon Min , Tushar Khot , Ashish Sabharwal , Oyvind Tafjord , Peter Clark , Hannaneh Hajishirzi

Superconducting quantum hardware architectures have been designed by considering the physical constraints of the underlying physics. These general-purpose architectures leave room for customization and optimization that can be exploited…

Quantum Physics · Physics 2024-05-06 Jagatheesan Kunasaikaran , Kevin Mato , Robert Wille

An acyclic deterministic finite automaton (ADFA) is a data structure that represents a set of strings (i.e., a dictionary) and facilitates a pattern searching problem of determining whether a given pattern string is present in the…

Data Structures and Algorithms · Computer Science 2024-10-11 Hiroki Shibata , Masakazu Ishihata , Shunsuke Inenaga

Recently, the use of mathematical methods and computer science applications have got significant response among biochemists and biologists to modeling the biological systems. The computational and mathematical methods have enormous…

Formal Languages and Automata Theory · Computer Science 2020-07-14 Amandeep Singh Bhatia , Shenggen Zheng

Quantum machine learning carries the promise to revolutionize information and communication technologies. While a number of quantum algorithms with potential exponential speedups have been proposed already, it is quite difficult to provide…

Quantum Physics · Physics 2020-11-20 Iordanis Kerenidis , Alessandro Luongo

This research describes a three dimensional quantum cellular automaton (QCA) which can simulate all other 3D QCA. This intrinsically universal QCA belongs to the simplest subclass of QCA: Partitioned QCA (PQCA). PQCA are QCA of a particular…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi , Jonathan Grattage

Several proposed schemes for the physical realization of a quantum computer consist of qubits arranged in a cellular array. In the quantum circuit model of quantum computation, an often complex series of two-qubit gate operations is…

Quantum Physics · Physics 2009-11-10 Gavin K. Brennen , Jamie E. Williams

We present the open-source tool finsm.io, a tool for creating, simulating and exporting deterministic and non-deterministic finite state automata (DFA/NFA). We first describe the conceptual background on which the tool is based, followed by…

Computers and Society · Computer Science 2024-10-17 Christopher William Schankula , Lucas Dutton

Quantum state tomography (QST) is the process of reconstructing the state of a quantum system (mathematically described as a density matrix) through a series of different measurements, which can be solved by learning a parameterized…

Quantum Physics · Physics 2025-03-31 Hailan Ma , Zhenhong Sun , Daoyi Dong , Chunlin Chen , Herschel Rabitz

A question answering (QA) system is a type of conversational AI that generates natural language answers to questions posed by human users. QA systems often form the backbone of interactive dialogue systems, and have been studied extensively…

Software Engineering · Computer Science 2021-01-12 Aakash Bansal , Zachary Eberhart , Lingfei Wu , Collin McMillan

We develop a framework which aims to simplify the analysis of quantum states and quantum operations by harnessing the potential of function programming paradigm. We show that the introduced framework allows a seamless manipulation of…

Quantum Physics · Physics 2013-07-19 Jarosław Adam Miszczak
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