A quantum algorithm for track reconstruction in the LHCb vertex detector

Fuente: arXiv
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Main Authors: Nicotra, Davide, Martinez, Miriam Lucio, de Vries, Jacco Andreas, Merk, Marcel, Driessens, Kurt, Westra, Ronald Leonard, Dibenedetto, Domenica, Pérez, Daniel Hugo Cámpora
Format: Preprint
Published: 2023
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author Nicotra, Davide
Martinez, Miriam Lucio
de Vries, Jacco Andreas
Merk, Marcel
Driessens, Kurt
Westra, Ronald Leonard
Dibenedetto, Domenica
Pérez, Daniel Hugo Cámpora
author_facet Nicotra, Davide
Martinez, Miriam Lucio
de Vries, Jacco Andreas
Merk, Marcel
Driessens, Kurt
Westra, Ronald Leonard
Dibenedetto, Domenica
Pérez, Daniel Hugo Cámpora
contents High-energy physics is facing increasingly computational challenges in real-time event reconstruction for the near-future high-luminosity era. Using the LHCb vertex detector as a use-case, we explore a new algorithm for particle track reconstruction based on the minimisation of an Ising-like Hamiltonian with a linear algebra approach. The use of a classical matrix inversion technique results in tracking performance similar to the current state-of-the-art but with worse scaling complexity in time. To solve this problem, we also present an implementation as quantum algorithm, using the Harrow-Hassadim-Lloyd (HHL) algorithm: this approach can potentially provide an exponential speedup as a function of the number of input hits over its classical counterpart, in spite of limitations due to the well-known HHL Hamiltonian simulation and readout problems. The findings presented in this paper shed light on the potential of leveraging quantum computing for real-time particle track reconstruction in high-energy physics.
format Preprint
id arxiv_https___arxiv_org_abs_2308_00619
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A quantum algorithm for track reconstruction in the LHCb vertex detector
Nicotra, Davide
Martinez, Miriam Lucio
de Vries, Jacco Andreas
Merk, Marcel
Driessens, Kurt
Westra, Ronald Leonard
Dibenedetto, Domenica
Pérez, Daniel Hugo Cámpora
Quantum Physics
Emerging Technologies
High Energy Physics - Experiment
High-energy physics is facing increasingly computational challenges in real-time event reconstruction for the near-future high-luminosity era. Using the LHCb vertex detector as a use-case, we explore a new algorithm for particle track reconstruction based on the minimisation of an Ising-like Hamiltonian with a linear algebra approach. The use of a classical matrix inversion technique results in tracking performance similar to the current state-of-the-art but with worse scaling complexity in time. To solve this problem, we also present an implementation as quantum algorithm, using the Harrow-Hassadim-Lloyd (HHL) algorithm: this approach can potentially provide an exponential speedup as a function of the number of input hits over its classical counterpart, in spite of limitations due to the well-known HHL Hamiltonian simulation and readout problems. The findings presented in this paper shed light on the potential of leveraging quantum computing for real-time particle track reconstruction in high-energy physics.
title A quantum algorithm for track reconstruction in the LHCb vertex detector
topic Quantum Physics
Emerging Technologies
High Energy Physics - Experiment
url https://arxiv.org/abs/2308.00619