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In this paper we analyze the problem of optimal task scheduling for data centers. Given the available resources and tasks, we propose a fast distributed iterative algorithm which operates over a large scale network of nodes and allows each…

The classical communication complexity of testing closeness of discrete distributions has recently been studied by Andoni, Malkin and Nosatzki (ICALP'19). In this problem, two players each receive $t$ samples from one distribution over…

计算复杂性 · 计算机科学 2023-12-29 Aleksandrs Belovs , Arturo Castellanos , François Le Gall , Guillaume Malod , Alexander A. Sherstov

Quantum mechanics permits certain kinds of non-local effects. This paper demonstrates how these can be used for distributed computation with minimal communication between various processors. The problem considered is that of estimating the…

量子物理 · 物理学 2008-02-03 Lov K. Grover

Limited by today's physical devices, quantum circuits are usually noisy and difficult to be designed deeply. The novel computing architecture of distributed quantum computing is expected to reduce the noise and depth of quantum circuits. In…

量子物理 · 物理学 2022-10-05 Jiawei Tan , Ligang Xiao , Daowen Qiu , Le Luo , Paulo Mateus

To establish a time reference frame between two users in quantum key distribution, a synchronization calibration process is usually applied for the case of using gated mode single-photon detectors (SPDs). Traditionally, the synchronization…

量子物理 · 物理学 2020-02-26 Peng Liu , Hua-Lei Yin

In this work, we consider the performance of using a quantum algorithm to predict a result for a binary classification problem if a machine learning model is an ensemble from any simple classifiers. Such an approach is faster than classical…

量子物理 · 物理学 2021-12-28 Kamil Khadiev , Liliia Safina

This tutorial, addressing physics teachers and undergraduate students, aims at clarifying some aspects of time in special relativity. In particular, time dilation is usually presented only as the well-known ratio of lab time over proper…

物理教育 · 物理学 2023-06-19 Winfried A. Mitaroff

In earlier papers we showed unpredictability beyond quantum uncertainty in atomic clocks, ensuing from a proven gap between given evidence and explanations of that evidence. Here we reconceive a clock, not as an isolated entity, but as…

量子物理 · 物理学 2015-04-17 F. Hadi Madjid , John M. Myers

This paper examines synchronization of computer clocks connected via a data network and proposes a skewless algorithm to synchronize them. Unlike existing solutions, which either estimate and compensate the frequency difference (skew) among…

最优化与控制 · 数学 2013-08-21 Enrique Mallada , Xiaoqiao Meng , Michel Hack , Li Zhang , Ao Tang

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

最优化与控制 · 数学 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

A quantum algorithm that solves the time-dependent Dirac equation on a digital quantum computer is developed and analyzed. The time evolution is performed by an operator splitting decomposition technique that allows for a mapping of the…

量子物理 · 物理学 2017-05-03 F. Fillion-Gourdeau , S. MacLean , R. Laflamme

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

量子物理 · 物理学 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

In this paper, we give a quantum algorithm which solves collision problem in an expected polynomial time. Especially, when the function is two-to-one, we present a quantum algorithm which can find a collision with certainty in a worst-case…

量子物理 · 物理学 2008-02-03 Dong Pyo Chi , Jinsoo Kim

We present a quantum algorithm that analyzes time series data simulated by a quantum differential equation solver. The proposed algorithm is a quantum version of the dynamic mode decomposition algorithm used in diverse fields such as fluid…

量子物理 · 物理学 2024-10-17 Yuta Mizuno , Tamiki Komatsuzaki

We consider distributed iterative algorithms for the averaging problem over time-varying topologies. Our focus is on the convergence time of such algorithms when complete (unquantized) information is available, and on the degradation of…

最优化与控制 · 数学 2009-01-14 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John Tsitsiklis

We present a quantum solution to coordination problems that can be implemented with present technologies. It provides an alternative to existing approaches, which rely on explicit communication, prior commitment or trusted third parties.…

量子物理 · 物理学 2015-01-23 Bernardo A. Huberman , Tad Hogg

Quantum sampling, a fundamental subroutine in numerous quantum algorithms, involves encoding a given probability distribution in the amplitudes of a pure state. Given the hefty cost of large-scale quantum storage, we initiate the study of…

量子物理 · 物理学 2025-06-10 Longyun Chen , Jingcheng Liu , Penghui Yao

In this work we present an algorithm to perform algorithmic differentiation in the context of quantum computing. We present two versions of the algorithm, one which is fully quantum and one which employees a classical step (hybrid…

量子物理 · 物理学 2021-01-19 Giuseppe Colucci , Francesco Giacosa

In this paper, we present experimental algorithms for solving the dualization problem. We present the results of extensive experimentation comparing the execution time of various algorithms.

Quantum annealing is a generic algorithm using quantum-mechanical fluctuations to search for the solution of an optimization problem. The present paper first reviews the fundamentals of quantum annealing and then reports on preliminary…

无序系统与神经网络 · 物理学 2010-06-10 Masayuki Ohzeki , Hidetoshi Nishimori