Particle track reconstruction with noisy intermediate-scale quantum
computers
- URL: http://arxiv.org/abs/2303.13249v1
- Date: Thu, 23 Mar 2023 13:29:20 GMT
- Title: Particle track reconstruction with noisy intermediate-scale quantum
computers
- Authors: Tim Schw\"agerl, Cigdem Issever, Karl Jansen, Teng Jian Khoo, Stefan
K\"uhn, Cenk T\"uys\"uz, Hannsj\"org Weber
- Abstract summary: Reconstruction of trajectories of charged particles is a key computational challenge for current and future collider experiments.
The problem can be formulated as a quadratic unconstrained binary optimization (QUBO) and solved using the variational quantum eigensolver (VQE) algorithm.
This work serves as a proof of principle that the VQE could be used for particle tracking and investigates modifications of the VQE to make it more suitable for optimization.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The reconstruction of trajectories of charged particles is a key
computational challenge for current and future collider experiments.
Considering the rapid progress in quantum computing, it is crucial to explore
its potential for this and other problems in high-energy physics. The problem
can be formulated as a quadratic unconstrained binary optimization (QUBO) and
solved using the variational quantum eigensolver (VQE) algorithm. In this work
the effects of dividing the QUBO into smaller sub-QUBOs that fit on the
hardware available currently or in the near term are assessed. Then, the
performance of the VQE on small sub-QUBOs is studied in an ideal simulation,
using a noise model mimicking a quantum device and on IBM quantum computers.
This work serves as a proof of principle that the VQE could be used for
particle tracking and investigates modifications of the VQE to make it more
suitable for combinatorial optimization.
Related papers
- Efficient charge-preserving excited state preparation with variational quantum algorithms [33.03471460050495]
We introduce a charge-preserving VQD (CPVQD) algorithm, designed to incorporate symmetry and the corresponding conserved charge into the VQD framework.
Results show applications in high-energy physics, nuclear physics, and quantum chemistry.
arXiv Detail & Related papers (2024-10-18T10:30:14Z) - Quantum subspace expansion in the presence of hardware noise [0.0]
Finding ground state energies on current quantum processing units (QPUs) continues to pose challenges.
Hardware noise severely affects both the expressivity and trainability of parametrized quantum circuits.
We show how to integrate VQE with a quantum subspace expansion, allowing for an optimal balance between quantum and classical computing capabilities and costs.
arXiv Detail & Related papers (2024-04-14T02:48:42Z) - Quantum Subroutine for Variance Estimation: Algorithmic Design and Applications [80.04533958880862]
Quantum computing sets the foundation for new ways of designing algorithms.
New challenges arise concerning which field quantum speedup can be achieved.
Looking for the design of quantum subroutines that are more efficient than their classical counterpart poses solid pillars to new powerful quantum algorithms.
arXiv Detail & Related papers (2024-02-26T09:32:07Z) - QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum
Circuits [82.50620782471485]
QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits.
It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness.
Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
arXiv Detail & Related papers (2024-01-10T22:33:00Z) - Towards Neural Variational Monte Carlo That Scales Linearly with System
Size [67.09349921751341]
Quantum many-body problems are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductors.
The combination of neural networks (NN) for representing quantum states, and the Variational Monte Carlo (VMC) algorithm, has been shown to be a promising method for solving such problems.
We propose a NN architecture called Vector-Quantized Neural Quantum States (VQ-NQS) that utilizes vector-quantization techniques to leverage redundancies in the local-energy calculations of the VMC algorithm.
arXiv Detail & Related papers (2022-12-21T19:00:04Z) - Adiabatic Quantum Computing for Multi Object Tracking [170.8716555363907]
Multi-Object Tracking (MOT) is most often approached in the tracking-by-detection paradigm, where object detections are associated through time.
As these optimization problems are often NP-hard, they can only be solved exactly for small instances on current hardware.
We show that our approach is competitive compared with state-of-the-art optimization-based approaches, even when using of-the-shelf integer programming solvers.
arXiv Detail & Related papers (2022-02-17T18:59:20Z) - The Variational Quantum Eigensolver: a review of methods and best
practices [3.628860803653535]
The variational quantum eigensolver (or VQE) uses the variational principle to compute the ground state energy of a Hamiltonian.
This review aims to provide an overview of the progress that has been made on the different parts of the algorithm.
arXiv Detail & Related papers (2021-11-09T14:40:18Z) - The Cost of Improving the Precision of the Variational Quantum
Eigensolver for Quantum Chemistry [0.0]
We study how various types of errors affect the variational quantum eigensolver (VQE)
We find that the optimal way of running the hybrid classical-quantum optimization is to allow some noise in intermediate energy evaluations.
arXiv Detail & Related papers (2021-11-09T06:24:52Z) - Adiabatic Quantum Graph Matching with Permutation Matrix Constraints [75.88678895180189]
Matching problems on 3D shapes and images are frequently formulated as quadratic assignment problems (QAPs) with permutation matrix constraints, which are NP-hard.
We propose several reformulations of QAPs as unconstrained problems suitable for efficient execution on quantum hardware.
The proposed algorithm has the potential to scale to higher dimensions on future quantum computing architectures.
arXiv Detail & Related papers (2021-07-08T17:59:55Z) - VQE Method: A Short Survey and Recent Developments [5.9640499950316945]
The variational quantum eigensolver (VQE) is a method that uses a hybrid quantum-classical computational approach to find eigenvalues and eigenvalues of a Hamiltonian.
VQE has been successfully applied to solve the electronic Schr"odinger equation for a variety of small molecules.
Modern quantum computers are not capable of executing deep quantum circuits produced by using currently available ansatze.
arXiv Detail & Related papers (2021-03-15T16:25:36Z) - Quantum circuit architecture search for variational quantum algorithms [88.71725630554758]
We propose a resource and runtime efficient scheme termed quantum architecture search (QAS)
QAS automatically seeks a near-optimal ansatz to balance benefits and side-effects brought by adding more noisy quantum gates.
We implement QAS on both the numerical simulator and real quantum hardware, via the IBM cloud, to accomplish data classification and quantum chemistry tasks.
arXiv Detail & Related papers (2020-10-20T12:06:27Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.