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We observe how an active (i.e., requring $2^n$ parallel control operations) QRAM-like effect $$\sum_{y=0}^{N-1} |y\rangle\langle y| \otimes U^y_{\text{result},\text{memory}_y}$$ can be realized, as a quantum circuit of depth $O(n+\sqrt m)$…

Quantum Physics · Physics 2018-10-26 Tore Vincent Carstens , Dirk Oliver Theis

With increasing life expectancy, AD has become a major global health concern. While classical AI-based methods have been developed for early diagnosis and stage classification of AD, growing data volumes and limited computational resources…

Machine Learning · Computer Science 2026-02-03 Emine Akpinar , Murat Oduncuoglu

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

The model of quantum associative memories (QAM) we propose here consists in simplifying and generalizing that of Rigui Zhou \etal \cite{zhou2012} who uses the quantum matrix with binary decision diagram and nonlinear search algorithm in his…

Quantum Physics · Physics 2016-02-10 J. -P. Tchapet Njafa , S. G. Nana Engo

The current era of quantum computing has yielded several algorithms that promise high computational efficiency. While the algorithms are sound in theory and can provide potentially exponential speedup, there is little guidance on how to…

Quantum Physics · Physics 2023-10-13 Ankit Kulshrestha , Danylo Lykov , Ilya Safro , Yuri Alexeev

Machine learning algorithms perform well on identifying patterns in many different datasets due to their versatility. However, as one increases the size of the dataset, the computation time for training and using these statistical models…

Quantum Physics · Physics 2024-09-19 Abhijat Sarma , Rupak Chatterjee , Kaitlin Gili , Ting Yu

In the field of quantum linear system algorithms, quantum computing has realized exponential computational advantages over classical computing. However, the focus has been on square coefficient matrices, with few quantum algorithms…

Quantum Physics · Physics 2024-09-10 Weitao Lin , Guojing Tian , Xiaoming Sun

Quantum computers provide a fundamentally new computing paradigm that promises to revolutionize our ability to solve broad classes of problems. Surprisingly, the basic mathematical structures of gate-based quantum computing, such as unitary…

Quantum Physics · Physics 2019-08-20 Brian R. La Cour , S. Andrew Lanham , Corey I. Ostrove

This paper proposes a quantum key distribution (QKD) scheme for measurement-device-independent QKD (MDI-QKD) utilizing quantum memory (QM), which is based on two distinct functions of QM: on-demand storage and multimode storage. We…

Quantum Physics · Physics 2023-07-26 Yusuke Mizutani , Tomoyuki Horikiri

This article aims to bring quantum computing to robotics. A quantum algorithm is developed to minimize the distance travelled in warehouses and distribution centres where order picking is applied. For this, a proof of concept is proposed…

Fast algorithms for the computation of $N$-body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last class belongs the well-known fast multipole method (FMM),…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Felipe A. Cruz , Matthew G. Knepley , L. A. Barba

Lin and Lin have recently shown how starting with a classical query algorithm (decision tree) for a function, we may find upper bounds on its quantum query complexity. More precisely, they have shown that given a decision tree for a…

Quantum Physics · Physics 2020-03-04 Salman Beigi , Leila Taghavi

Quantum network is a promising platform for many ground-breaking applications that lie beyond the capability of its classical counterparts. Efficient entanglement generation on quantum networks with relatively limited resources such as…

Quantum Physics · Physics 2020-01-08 Changhao Li , Tianyi Li , Yi-Xiang Liu , Paola Cappellaro

The negative-AND (NAND) gate is universal for classical computation making it an important target for development. A seminal quantum computing algorithm by Farhi, Goldstone and Gutmann has demonstrated its realization by means of quantum…

We consider online algorithms for the $k$-server problem on trees. Chrobak and Larmore proposed a $k$-competitive algorithm for this problem that has the optimal competitive ratio. However, a naive implementation of their algorithm has…

Data Structures and Algorithms · Computer Science 2021-07-29 Ruslan Kapralov , Kamil Khadiev , Joshua Mokut , Yixin Shen , Maxim Yagafarov

We present a new approach for efficient approximate nearest neighbor (ANN) search in high dimensional spaces, extending the idea of Product Quantization. We propose a two-level product and vector quantization tree that reduces the number of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Patrick Wieschollek , Oliver Wang , Alexander Sorkine-Hornung , Hendrik P. A. Lensch

Oblivious RAM (ORAM) is a well-researched primitive to hide the memory access pattern of a RAM computation; it has a variety of applications in trusted computing, outsourced storage, and multiparty computation. In this paper, we study the…

Data Structures and Algorithms · Computer Science 2024-12-16 Thore Thießen , Jan Vahrenhold

Recent advances in the fields of deep learning and quantum computing have paved the way for innovative developments in artificial intelligence. In this manuscript, we leverage these cutting-edge technologies to introduce a novel model that…

Emerging Technologies · Computer Science 2025-05-06 Eva Andrés , Manuel Pegalajar Cuéllar , Gabriel Navarro

Quantum networks can enable various applications such as distributed quantum computing, long-distance quantum communication, and network-based quantum sensing with unprecedented performances. One of the most important building blocks for a…

Quantum Physics · Physics 2024-05-01 Sheng Zhang , Jixuan Shi , Zhaibin Cui , Ye Wang , Yukai Wu , Luming Duan , Yunfei Pu

This paper introduces a novel quantum embedding search algorithm (QES, pronounced as "quest"), enabling search for optimal quantum embedding design for a specific dataset of interest. First, we establish the connection between the…

Quantum Physics · Physics 2022-04-20 Nam Nguyen , Kwang-Chen Chen
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