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Finding solutions to systems of linear equations is a common prob\-lem in many areas of science and engineering, with much potential for a speedup on quantum devices. While the Harrow-Hassidim-Lloyd (HHL) quantum algorithm yields up to an…

Quantum Physics · Physics 2023-07-20 Aidan Pellow-Jarman , Ilya Sinayskiy , Anban Pillay , Francesco Petruccione

Particle track reconstruction is the most computationally intensive process in nuclear physics experiments. Traditional algorithms use a combinatorial approach that exhaustively tests track measurements ("hits") to identify those that form…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Polykarpos Thomadakis , Angelos Angelopoulos , Gagik Gavalian , Nikos Chrisochoides

The Harrow-Hassidim-Lloyd algorithm is intended for solving the system of linear equations on quantum devices. The exponential advantage of the algorithm comes with four caveats. We present a numerical study of the performance of the…

Quantum Physics · Physics 2021-09-21 Sristy Sangskriti , Protik Nag , Summit Haque

We propose to explore the potential advantages of a new class of tracking algorithms loosely inspired by the Hough transform concept and where we include the time of arrival of each hit as an additional coordinate to be treated in the same…

High Energy Physics - Experiment · Physics 2024-12-19 Massimo Casarsa , Sergo Jindariani , Luciano Ristori

This article describes a custom VHDL firmware implementation of a two-dimensional cluster-finder architecture for reconstructing hit positions in the new vertex pixel detector (VELO) that is part of the LHCb Upgrade. This firmware has been…

Instrumentation and Detectors · Physics 2023-06-21 G. Bassi , L. Giambastiani , K. Hennessy , F. Lazzari , M. J. Morello , T. Pajero , A. Fernandez Prieto , G. Punzi

This work presents a new approach for simulating the HHL linear systems of equations solver algorithm with tensor networks. First, a novel HHL in the qudits formalism, the generalization of qubits, is developed, and then its operations are…

High energy physics (HEP) experiments at the LHC generate data at a rate of $\mathcal{O}(10)$ Terabits per second. This data rate is expected to exponentially increase as experiments will be upgraded in the future to achieve higher…

High Energy Physics - Phenomenology · Physics 2022-10-25 Dhananjay Saikumar

A well-known approach to describe the dynamics of an open quantum system is to compute the master equation evolving the reduced density matrix of the system. This approach plays an important role in describing excitation transfer through…

Quantum Physics · Physics 2022-10-25 Kimara Naicker , Ilya Sinayskiy , Francesco Petruccione

The high instantaneous luminosities expected following the upgrade of the Large Hadron Collider (LHC) to the High Luminosity LHC (HL-LHC) pose major experimental challenges for the CMS experiment. A central component to allow efficient…

The currently predicted increase in computational demand for the upcoming High-Luminosity Large Hadron Collider (HL-LHC) event reconstruction, and in particular jet clustering, is bound to challenge present day computing resources, becoming…

High Energy Physics - Experiment · Physics 2023-06-19 Diogo Pires , Yasser Omar , João Seixas

Simulation is one of the key components in high energy physics. Historically it relies on the Monte Carlo methods which require a tremendous amount of computation resources. These methods may have difficulties with the expected High…

Data Analysis, Statistics and Probability · Physics 2019-10-02 Viktoria Chekalina , Elena Orlova , Fedor Ratnikov , Dmitry Ulyanov , Andrey Ustyuzhanin , Egor Zakharov

Charged particle reconstruction is one the most computationally heavy components of the full event reconstruction of Large Hadron Collider (LHC) experiments. Looking to the future, projections for the High Luminosity LHC (HL-LHC) indicate a…

This letter is a proof of concept for quantum power flow (QPF) algorithms which underpin various unprecedentedly efficient power system analytics exploiting quantum computing. Our contributions are three-fold: 1) Establish a…

Quantum Physics · Physics 2021-04-13 Fei Feng , Yifan Zhou , Peng Zhang

Rendering on conventional computers is capable of generating realistic imagery, but the computational complexity of these light transport algorithms is a limiting factor of image synthesis. Quantum computers have the potential to…

Graphics · Computer Science 2022-04-28 Luís Paulo Santos , Thomas Bashford-Rogers , João Barbosa , Paul Navrátil

Practical quantum computing applications to power grids are nonexistent at the moment. This paper investigates how a fundamental grid problem, namely DC power flow, can be solved using quantum computing. Power flow is the most widely used…

Quantum Physics · Physics 2021-06-29 Rozhin Eskandarpour , Kumar Ghosh , Amin Khodaei , Aleksi Paaso

Track reconstruction in high track multiplicity environments at current and future high rate particle physics experiments is a big challenge and very time consuming. The search for track seeds and the fitting of track candidates are usually…

Instrumentation and Detectors · Physics 2016-12-21 Andre Schöning

At the Large Hadron Collider, the vast amount of data from experiments demands not only sophisticated algorithms but also substantial computational power for efficient processing. This paper introduces hardware acceleration as an essential…

High Energy Physics - Experiment · Physics 2025-01-15 Pelayo Leguina López , Santiago Folgueras

A majority of numerical scientific computation relies heavily on handling and manipulating matrices, such as solving linear equations, finding eigenvalues and eigenvectors, and so on. Many quantum algorithms have been developed to advance…

Quantum Physics · Physics 2023-11-10 Nhat A. Nghiem , Tzu-Chieh Wei

The High-Luminosity Large Hadron Collider at CERN will be characterized by greater pileup of events and higher occupancy, making the track reconstruction even more computationally demanding. Existing algorithms at the LHC are based on…

Under the nearing error-corrected era of quantum computing, it is necessary to understand the suitability of certain post-NISQ algorithms for practical problems. One of the most promising, applicable and yet difficult to implement in…

Quantum Physics · Physics 2025-05-29 Mark Danza , Sonia Lopez Alarcon , Cory Merkel
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