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The Hamming distance is ubiquitous in computing. Its computation gets expensive when one needs to compare a string against many strings. Quantum computers (QCs) may speed up the comparison. In this paper, we extend an existing algorithm for…

新兴技术 · 计算机科学 2021-07-01 Mushahid Khan , Andriy Miranskyy

Quantum classifiers are trainable quantum circuits used as machine learning models. The first part of the circuit implements a quantum feature map that encodes classical inputs into quantum states, embedding the data in a high-dimensional…

量子物理 · 物理学 2022-07-03 Seth Lloyd , Maria Schuld , Aroosa Ijaz , Josh Izaac , Nathan Killoran

Kernel methods have a wide spectrum of applications in machine learning. Recently, a link between quantum computing and kernel theory has been formally established, opening up opportunities for quantum techniques to enhance various existing…

量子物理 · 物理学 2020-03-25 Carsten Blank , Daniel K. Park , June-Koo Kevin Rhee , Francesco Petruccione

Protein structures can be encoded into binary sequences, these are used to define a Hamming distance in conformational space: the distance between two different molecular conformations is the number of different bits in their sequences.…

生物物理 · 物理学 2008-12-14 Cyril Laboulais , Mohammed Ouali , Marc Le Bret , Jacques Gabarro-Arpa

Lately, much attention has been given to quantum algorithms that solve pattern recognition tasks in machine learning. Many of these quantum machine learning algorithms try to implement classical models on large-scale universal quantum…

量子物理 · 物理学 2018-01-17 Maria Schuld , Mark Fingerhuth , Francesco Petruccione

Learning on small data is a challenge frequently encountered in many real-world applications. In this work we study how effective quantum ensemble models are when trained on small data problems in healthcare and life sciences. We…

Quantum machine learning (QML) has become a promising area for real world applications of quantum computers, but near-term methods and their scalability are still important research topics. In this context, we analyze the trainability and…

Quantum classifiers provide sophisticated embeddings of input data in Hilbert space promising quantum advantage. The advantage stems from quantum feature maps encoding the inputs into quantum states with variational quantum circuits. A…

量子物理 · 物理学 2021-09-07 Napat Thumwanit , Chayaphol Lortaraprasert , Hiroshi Yano , Rudy Raymond

This article investigates the probabilistic relationship between quantum classification of Boolean functions and their Hamming distance. By integrating concepts from quantum computing, information theory, and combinatorics, we explore how…

Machine learning and quantum computing are two technologies that are causing a paradigm shift in the performance and behavior of certain algorithms, achieving previously unattainable results. Machine learning (kernel classification) has…

量子物理 · 物理学 2020-04-28 Siddharth Sharma

The advancement of technology in Quantum Computing has brought possibilities for the execution of algorithms in real quantum devices. However, the existing errors in the current quantum hardware and the low number of available qubits make…

The basic idea of quantum computing is surprisingly similar to that of kernel methods in machine learning, namely to efficiently perform computations in an intractably large Hilbert space. In this paper we explore some theoretical…

量子物理 · 物理学 2019-02-06 Maria Schuld , Nathan Killoran

We introduce the unambiguous quantum classifier based on Hamming distance measurements combined with classical post-processing. The proposed approach improves classification performance through a more effective use of ansatz expressivity,…

量子物理 · 物理学 2026-04-03 Petr Ptáček , Paulina Lewandowska , Ryszard Kukulski

Quantum computing holds transformative potential for various fields, yet its practical application is hindered by the susceptibility to errors. This study makes a pioneering contribution by applying quantum error correction codes (QECCs)…

量子物理 · 物理学 2024-04-23 Avimita Chatterjee , Debarshi Kundu , Swaroop Ghosh

It is well known that for certain tasks, quantum computing outperforms classical computing. A growing number of contributions try to use this advantage in order to improve or extend classical machine learning algorithms by methods of…

量子物理 · 物理学 2014-12-12 Maria Schuld , Ilya Sinayskiy , Francesco Petruccione

In this work we use the concept of quantum fingerprinting to develop a quantum communication protocol in the simultaneous message passing model that calculates the Hamming distance between two $n$-bit strings up to relative error…

量子物理 · 物理学 2022-08-30 João F. Doriguello , Ashley Montanaro

The advent of noisy-intermediate scale quantum computers has introduced the exciting possibility of achieving quantum speedups in machine learning tasks. These devices, however, are composed of a small number of qubits, and can faithfully…

量子物理 · 物理学 2023-08-24 Rohit Dilip , Yu-Jie Liu , Adam Smith , Frank Pollmann

Recent work has shown that quantum simulation is a valuable tool for learning empirical models for quantum systems. We build upon these results by showing that a small quantum simulators can be used to characterize and learn control models…

量子物理 · 物理学 2015-04-01 Nathan Wiebe , Christopher Granade , David G. Cory

The field of quantum computing has experienced a rapid expansion in recent years, with ongoing exploration of new technologies, a decrease in error rates, and a growth in the number of qubits available in quantum processors. However,…

量子物理 · 物理学 2023-03-16 Samuel Stein , Nathan Wiebe , Yufei Ding , James Ang , Ang Li

In a distributed information application an encoder compresses an arbitrary vector while a similar reference vector is available to the decoder as side information. For the Hamming-distance similarity measure, and when guaranteed perfect…

信息论 · 计算机科学 2020-09-08 Yuval Cassuto , Jacob Ziv
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