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This paper addresses multilinear systems of equations which arise in various applications such as data mining and numerical partial differential equations. When the multilinear system under consideration involves a nonsingular…

Optimization and Control · Mathematics 2019-05-14 Xueli Bai , Hongjin He , Chen Ling , Guanglu Zhou

We study multivariate linear tensor product problems with some special properties in the worst case setting. We consider algorithms that use finitely many continuous linear functionals. We use a unified method to investigate tractability of…

Numerical Analysis · Mathematics 2024-12-20 Rong Guo , Heping Wang

We explore recent advancements in the understanding and manipulation of vacuum energy in quantum physics, with a focus on the quantum energy teleportation (QET) protocol. Traditional QET protocols extract energy from what we refer to as a…

Quantum Physics · Physics 2024-09-09 Songbo Xie , Manas Sajjan , Sabre Kais

The challenge of storing energy efficiently and sustainably is highly prominent within modern scientific investigations. Due to the ongoing trend of miniaturization, the design of expressly quantum storage devices is itself a crucial task…

Quantum Physics · Physics 2024-04-01 C. A. Downing , M. S. Ukhtary

In this paper we exhibit a minimal set of generators form the annihilator of even neat elements of the exterior algebra of a vector space, when the base field is of positive characteristic and thus we prove the conjecture we established in…

Rings and Algebras · Mathematics 2018-10-23 Songül Esin

Absorption measurement is an exceptionally versatile tool for many applications in science and engineering. For absorption measurements using laser beams of light, the sensitivity is theoretically limited by the shot noise due to the…

Optics · Physics 2021-04-22 Fu Li , Tian Li , Marlan O. Scully , Girish S. Agarwal

Realizing the potential of near-term quantum computers to solve industry-relevant constrained-optimization problems is a promising path to quantum advantage. In this work, we consider the extractive summarization constrained-optimization…

Randomness extractors, widely used in classical and quantum cryptography and other fields of computer science, e.g., derandomization, are functions which generate almost uniform randomness from weak sources of randomness. In the quantum…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Christopher Portmann , Volkher B. Scholz

We initiate the study of two-party cryptographic primitives with unconditional security, assuming that the adversary's quantum memory is of bounded size. We show that oblivious transfer and bit commitment can be implemented in this model…

Quantum Physics · Physics 2007-05-23 Ivan Damgaard , Serge Fehr , Louis Salvail , Christian Schaffner

An extractor is a function that receives some randomness and either "improves" it or produces "new" randomness. There are statistical and algorithmical specifications of this notion. We study an algorithmical one called Kolmogorov…

Computational Complexity · Computer Science 2012-03-19 Daniil Musatov

Quantum machine learning is known as one of the promising applications of quantum computers. Many types of quantum machine learning methods have been released, such as Quantum Annealer, Quantum Neural Network, Variational Quantum…

Quantum Physics · Physics 2025-09-10 Hikaru Wakaura

Random-access quantum memories may offer computational advantages for quantum computers and networks. In this paper, we advance arrays of solid-state quantum memories towards their usage as random-access quantum memory. We perform quantum…

Quantum Physics · Physics 2025-09-16 Markus Teller , Susana Plascencia , Samuele Grandi , Hugues de Riedmatten

Local feature extractors are the cornerstone of many computer vision tasks. However, their vulnerability to adversarial attacks can significantly compromise their effectiveness. This paper discusses approaches to attack sophisticated local…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Yu Wen Pao , Li Chang Lai , Hong-Yi Lin

Quantum reservoir computing (QRC) is a promising quantum machine learning framework for near-term quantum platforms, yet the performance of different QRC architectures under realistic constraints remains largely unexplored. Here, we provide…

Quantum Physics · Physics 2026-04-03 Dong-Sheng Liu , Qing-Xuan Jie , Chang-Ling Zou , Xi-Feng Ren , Guang-Can Guo

Solving linear systems is at the foundation of many algorithms. Recently, quantum linear system algorithms (QLSAs) have attracted great attention since they converge to a solution exponentially faster than classical algorithms in terms of…

Quantum Physics · Physics 2024-04-01 Zeguan Wu , Sidhant Misra , Tamás Terlaky , Xiu Yang , Marc Vuffray

We explicitly construct the first nontrivial extractors for degree $d \ge 2$ polynomial sources over $\mathbb{F}_2^n$. Our extractor requires min-entropy $k\geq n - \tilde{\Omega}(\sqrt{\log n})$. Previously, no constructions were known,…

Computational Complexity · Computer Science 2024-02-02 Eshan Chattopadhyay , Jesse Goodman , Mohit Gurumukhani

As we continue to find applications where the currently available noisy devices exhibit an advantage over their classical counterparts, the efficient use of quantum resources is highly desirable. The notion of quantum autoencoders was…

Quantum Physics · Physics 2022-07-08 Abhinav Anand , Jakob S. Kottmann , Alán Aspuru-Guzik

Quantum computer technology harnesses the features of quantum physics for revolutionizing information processing and computing. As such, quantum computers use physical quantum gates that process information unitarily, even though the final…

Recent experiments show the existence of collective decoherence in quantum systems. We study the possibility of quantum computation in decoherence free subspace which is robust against such kind of decoherence processes. This passive…

Quantum Physics · Physics 2022-07-27 P. V. Pyshkin , Da-Wei Luo , Lian-Ao Wu

Driven by growing computational power and algorithmic developments, machine learning methods have become valuable tools for analyzing vast amounts of data. Simultaneously, the fast technological progress of quantum information processing…

Disordered Systems and Neural Networks · Physics 2022-12-20 Aikaterini , Gratsea , Valentin Kasper , Maciej Lewenstein