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We present several quantum algorithms for performing nearest-neighbor learning. At the core of our algorithms are fast and coherent quantum methods for computing distance metrics such as the inner product and Euclidean distance. We prove…

Quantum Physics · Physics 2014-12-12 Nathan Wiebe , Ashish Kapoor , Krysta Svore

Although current deep learning techniques have yielded superior performance on various computer vision tasks, yet they are still vulnerable to adversarial examples. Adversarial training and its variants have been shown to be the most…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Junhao Dong , Seyed-Mohsen Moosavi-Dezfooli , Jianhuang Lai , Xiaohua Xie

There are two main attack models considered in the adversarial robustness literature: black-box and white-box. We consider these threat models as two ends of a fine-grained spectrum, indexed by the number of queries the adversary can ask.…

Machine Learning · Computer Science 2021-02-11 Grzegorz Głuch , Rüdiger Urbanke

Some established and also novel techniques in the field of applications of algorithmic (Kolmogorov) complexity currently co-exist for the first time and are here reviewed, ranging from dominant ones such as statistical lossless compression…

Information Theory · Computer Science 2020-07-15 Hector Zenil

Quantum machine learning explores the interplay between machine learning and quantum physics, which may lead to unprecedented perspectives for both fields. In fact, recent works have shown strong evidences that quantum computers could…

Quantum Physics · Physics 2021-11-08 Weiyuan Gong , Dong-Ling Deng

Despite their ever more widespread deployment throughout society, machine learning algorithms remain critically vulnerable to being spoofed by subtle adversarial tampering with their input data. The prospect of near-term quantum computers…

The exploration of quantum algorithms that possess quantum advantages is a central topic in quantum computation and quantum information processing. One potential candidate in this area is quantum generative adversarial learning (QuGAL),…

Quantum Physics · Physics 2023-11-03 Yuxuan Du , Min-Hsiu Hsieh , Dacheng Tao

Generative adversarial networks (GANs) are one of the most widely adopted semisupervised and unsupervised machine learning methods for high-definition image, video, and audio generation. In this work, we propose a new type of architecture…

Can classical systems be described analytically at all orders in their interaction strength? For periodic and approximately periodic systems, the answer is yes, as we show in this work. Our analytical approach, which we call the…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Majed Khalaf , Ofri Telem

As quantum computing continues to advance, the development of quantum-secure neural networks is crucial to prevent adversarial attacks. This paper proposes three quantum-secure design principles: (1) using post-quantum cryptography, (2)…

Quantum Physics · Physics 2026-04-14 Eric Yocam , Anthony Rizi , Mahesh Kamepalli , Varghese Vaidyan , Yong Wang , Gurcan Comert

The Element Distinctness problem is to decide whether each character of an input string is unique. The quantum query complexity of Element Distinctness is known to be $\Theta(N^{2/3})$; the polynomial method gives a tight lower bound for…

Quantum Physics · Physics 2014-08-04 Ansis Rosmanis

We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are discussed. We continue with a description of quantum…

Statistical Mechanics · Physics 2015-12-01 Eliahu Cohen , Boaz Tamir

Vulnerability of various machine learning methods to adversarial examples has been recently explored in the literature. Power systems which use these vulnerable methods face a huge threat against adversarial examples. To this end, we first…

Cryptography and Security · Computer Science 2022-02-16 Jiwei Tian , Buhong Wang , Jing Li , Zhen Wang , Mete Ozay

It is discussed an opportunity to introduce new class of quantum algorithms based on possibility to express amplitude of transition between two states of quantum system as sum of some function along all possible classical paths. Continuous…

Quantum Physics · Physics 2007-05-23 Alexander Yu. Vlasov

Quantum annealing is a generic solver for combinatorial optimization problems that utilizes quantum fluctuations. Recently, there has been extensive research applying quantum annealers, which are hardware implementations of quantum…

Quantum Physics · Physics 2025-04-22 Taisei Takabayashi , Takeru Goto , Masayuki Ohzeki

We exhibit that, when given a classical Byzantine agreement protocol designed in the private-channel model, it is feasible to construct a quantum agreement protocol that can effectively handle a full-information adversary. Notably, both…

Quantum Physics · Physics 2024-09-04 Longcheng Li , Xiaoming Sun , Jiadong Zhu

Adversarial training is a standard defense against malicious input perturbations in security-critical machine-learning systems. Its main burden is structural: before every parameter update, the current model must first be attacked to find a…

Quantum Physics · Physics 2026-03-31 Yue Wang , Guangyi He , Liepeng Zhang , Lukas Gonon , Qi Zhao

In our recent work (Bubeck, Price, Razenshteyn, arXiv:1805.10204) we argued that adversarial examples in machine learning might be due to an inherent computational hardness of the problem. More precisely, we constructed a binary…

Machine Learning · Computer Science 2018-11-16 Sébastien Bubeck , Yin Tat Lee , Eric Price , Ilya Razenshteyn

Solution concepts of traditional game theory assume entirely rational players; therefore, their ability to exploit subrational opponents is limited. One type of subrationality that describes human behavior well is the quantal response.…

Artificial Intelligence · Computer Science 2021-07-08 David Milec , Jakub Černý , Viliam Lisý , Bo An

Quantum classifiers are vulnerable to adversarial attacks that manipulate their input classical or quantum data. A promising countermeasure is adversarial training, where quantum classifiers are trained by using an attack-aware, adversarial…

Quantum Physics · Physics 2025-04-25 Petros Georgiou , Aaron Mark Thomas , Sharu Theresa Jose , Osvaldo Simeone