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The data input model is a fundamental component of every quantum algorithm, as its efficiency is crucial for achieving potential speed-ups over classical methods. For quantum linear algebra tasks that utilize quantum eigenvalue or singular…

量子物理 · 物理学 2025-09-03 Andreas Sturm , Niclas Schillo

With the development of quantum hardware bringing the error-corrected quantum circuits to the near future, the lack of an efficient polynomial-time decoding algorithms for logical circuits presents a critical bottleneck. While quantum…

量子物理 · 物理学 2025-04-25 Yiqing Zhou , Chao Wan , Yichen Xu , Jin Peng Zhou , Kilian Q. Weinberger , Eun-Ah Kim

Measurement-based quantum computation (MBQC) represents a powerful and flexible framework for quantum information processing, based on the notion of entangled quantum states as computational resources. The most prominent application is the…

量子物理 · 物理学 2014-05-26 B. P. Lanyon , P. Jurcevic , M. Zwerger , C. Hempel , E. A. Martinez , W. Dür , H. J. Briegel , R. Blatt , C. F. Roos

We propose a new application of quantum computing to the field of natural language processing. Ongoing work in this field attempts to incorporate grammatical structure into algorithms that compute meaning. In (Coecke, Sadrzadeh and Clark,…

计算与语言 · 计算机科学 2016-08-05 William Zeng , Bob Coecke

Large-scale quantum computers promise transformative speedups, but their viability hinges on fast and reliable quantum error correction (QEC). At the center of QEC are decoders-classical algorithms running on hardware such as FPGAs, GPUs,…

量子物理 · 物理学 2026-05-19 Satvik Maurya , Abtin Molavi , Aws Albarghouthi , Swamit Tannu

Quantum machine learning (QML) leverages quantum computing for classical inference, furnishes the processing of quantum data with machine-learning methods, and provides quantum algorithms adapted to noisy devices. Typically, QML proposals…

Matrix completion (MC) is a promising technique which is able to recover an intact matrix with low-rank property from sub-sampled/incomplete data. Its application varies from computer vision, signal processing to wireless network, and…

信号处理 · 电气工程与系统科学 2019-05-08 Xiao Peng Li , Lei Huang , Hing Cheung So , Bo Zhao

We propose a method for the implementation of one-way quantum computing in superconducting circuits. Measurement-based quantum computing is a universal quantum computation paradigm in which an initial cluster-state provides the quantum…

Due to recent technological advances, actual quantum devices are being constructed and used to perform computations. As a result, many classical problems are being restated so as to be solved on quantum computers. Some examples include…

数论 · 数学 2021-10-27 Matthew B. Crawford

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

Machine learning, a branch of artificial intelligence, learns from previous experience to optimize performance, which is ubiquitous in various fields such as computer sciences, financial analysis, robotics, and bioinformatics. A challenge…

量子物理 · 物理学 2019-12-18 X. -D. Cai , D. Wu , Z. -E. Su , M. -C. Chen , X. -L. Wang , L. Li , N. -L. Liu , Chao-Yang Lu , Jian-Wei Pan

Fault-tolerant quantum computing demands decoders that are fast, accurate, and adaptable to circuit structure and realistic noise. While machine learning (ML) decoders have demonstrated impressive performance for quantum memory, their use…

量子物理 · 物理学 2025-09-16 J. Pablo Bonilla Ataides , Andi Gu , Susanne F. Yelin , Mikhail D. Lukin

In Weighted Model Counting (WMC) we assign weights to Boolean literals and we want to compute the sum of the weights of the models of a Boolean function where the weight of a model is the product of the weights of its literals. WMC was…

量子物理 · 物理学 2020-02-18 Fabrizio Riguzzi

Solving differential equations is one of the most computationally expensive problems in classical computing, occupying the vast majority of high-performance computing resources devoted towards practical applications in various fields of…

量子物理 · 物理学 2024-10-08 Sunheang Ty , Renaud Vilmart , Axel TahmasebiMoradi , Chetra Mang

This paper proposes a quantum circuit for computing the mean value from a given set of quantum states. The circuit consults a Quantum Random Access Memory to get the values of the set, and by using superposition, interference and…

量子物理 · 物理学 2019-12-02 Amanuel Tamirat

We describe an efficient quantum algorithm for solving the linear matrix equation AX+XB=C, where A, B, and C are given complex matrices and X is unknown. This is known as the Sylvester equation, a fundamental equation with applications in…

量子物理 · 物理学 2025-08-22 Rolando D. Somma , Guang Hao Low , Dominic W. Berry , Ryan Babbush

One of the major benefits of quantum computing is the potential to resolve complex computational problems faster than can be done by classical methods. There are many prototype-based clustering methods in use today, and the selection of the…

量子物理 · 物理学 2023-05-16 Nicholas R. Allgood , Ajinkya Borle , Charles K. Nicholas

Clustering performs an essential role in many real world applications, such as market research, pattern recognition, data analysis, and image processing. However, due to the high dimensionality of the input feature values, the data being…

机器学习 · 计算机科学 2021-02-16 Si Lu , Ruisi Li

The Measurement Based Quantum Computation (MBQC) model achieves universal quantum computation by employing projective single qubit measurements with classical feedforward on a highly entangled multipartite cluster state. Rapid advances in…

量子物理 · 物理学 2021-12-23 Swapnil Nitin Shah

Quantum computers theoretically promise computational advantage in many tasks, but it is much less clear how such advantage can be maintained when using existing and near-term hardware that has limitations in the number and quality of its…

量子物理 · 物理学 2025-03-05 Stuart Ferguson , Petros Wallden