Quantum jet clustering with LHC simulated data

• URL: http://arxiv.org/abs/2209.08914v1
• Date: Mon, 19 Sep 2022 10:51:13 GMT
• Title: Quantum jet clustering with LHC simulated data
• Authors: Jorge J. Mart\'inez de Lejarza, Leandro Cieri, Germ\'an Rodrigo
• Abstract summary: Two new quantum algorithms might speed up classical jet clustering algorithms. In the first two algorithms, an exponential speed up in dimensionality and data length can be achieved. In the $k_T$ algorithm, a quantum version of the same order as FastJet is achieved.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the case where quantum computing could improve jet clustering by considering two new quantum algorithms that might speed up classical jet clustering algorithms. The first one is a quantum subroutine to compute a Minkowski-based distance between two data points, while the second one consists of a quantum circuit to track the rough maximum into a list of unsorted data. When one or both algorithms are implemented in classical versions of well-known clustering algorithms (K-means, Affinity Propagation and $k_T$-jet) we obtain efficiencies comparable to those of their classical counterparts. Furthermore, in the first two algorithms, an exponential speed up in dimensionality and data length can be achieved when applying the distance or the maximum search algorithm. In the $k_T$ algorithm, a quantum version of the same order as FastJet is achieved.

Related papers

• Quantum algorithms for Hopcroft's problem [45.45456673484445]
  We study quantum algorithms for Hopcroft's problem which is a fundamental problem in computational geometry. The classical complexity of this problem is well-studied, with the best known algorithm running in $O(n4/3)$ time. Our results are two different quantum algorithms with time complexity $widetilde O(n5/6)$.
  arXiv  Detail & Related papers  (2024-05-02T10:29:06Z)
• Generalized quantum Arimoto-Blahut algorithm and its application to quantum information bottleneck [55.22418739014892]
  We generalize the quantum Arimoto-Blahut algorithm by Ramakrishnan et al. We apply our algorithm to the quantum information bottleneck with three quantum systems. Our numerical analysis shows that our algorithm is better than their algorithm.
  arXiv  Detail & Related papers  (2023-11-19T00:06:11Z)
• A quantum advantage over classical for local max cut [48.02822142773719]
  Quantum optimization approximation algorithm (QAOA) has a computational advantage over comparable local classical techniques on degree-3 graphs. Results hint that even small-scale quantum computation, which is relevant to the current state-of the art quantum hardware, could have significant advantages over comparably simple classical.
  arXiv  Detail & Related papers  (2023-04-17T16:42:05Z)
• NISQ-friendly measurement-based quantum clustering algorithms [0.7373617024876725]
  Two novel measurement-based, quantum clustering algorithms are proposed. The first algorithm follows a divisive approach, the second is based on unsharp measurements. Both algorithms are simplistic in nature, easy to implement, and well suited for noisy intermediate scale quantum computers.
  arXiv  Detail & Related papers  (2023-02-01T16:38:27Z)
• Quantum Clustering with k-Means: a Hybrid Approach [117.4705494502186]
  We design, implement, and evaluate three hybrid quantum k-Means algorithms. We exploit quantum phenomena to speed up the computation of distances. We show that our hybrid quantum k-Means algorithms can be more efficient than the classical version.
  arXiv  Detail & Related papers  (2022-12-13T16:04:16Z)
• Variational Quantum and Quantum-Inspired Clustering [0.0]
  We present a quantum algorithm for clustering data based on a variational quantum circuit. The algorithm allows to classify data into many clusters, and can easily be implemented in few-qubit Noisy Intermediate-Scale Quantum (NISQ) devices.
  arXiv  Detail & Related papers  (2022-06-20T17:02:19Z)
• Entanglement and coherence in Bernstein-Vazirani algorithm [58.720142291102135]
  Bernstein-Vazirani algorithm allows one to determine a bit string encoded into an oracle. We analyze in detail the quantum resources in the Bernstein-Vazirani algorithm. We show that in the absence of entanglement, the performance of the algorithm is directly related to the amount of quantum coherence in the initial state.
  arXiv  Detail & Related papers  (2022-05-26T20:32:36Z)
• Quantum clustering and jet reconstruction at the LHC [0.0]
  Jet clustering at the CERN's Large Hadron Collider is computationally expensive. We consider two novel quantum algorithms which may speed up the classical jet clustering algorithms.
  arXiv  Detail & Related papers  (2022-04-13T16:27:04Z)
• Benchmarking Small-Scale Quantum Devices on Computing Graph Edit Distance [52.77024349608834]
  Graph Edit Distance (GED) measures the degree of (dis)similarity between two graphs in terms of the operations needed to make them identical. In this paper we present a comparative study of two quantum approaches to computing GED.
  arXiv  Detail & Related papers  (2021-11-19T12:35:26Z)
• Quantum K-medians Algorithm Using Parallel Euclidean Distance Estimator [0.0]
  This paper proposes an efficient quantum k-medians clustering algorithm using the powerful quantum Euclidean estimator algorithm. The proposed quantum k-medians algorithm has provided an exponential speed up as compared to the classical version of it.
  arXiv  Detail & Related papers  (2020-12-21T06:38:20Z)

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.