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Title: Network Community Detection on Small Quantum Computers

Journal Article · · Advanced Quantum Technologies
ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [2];  [3]
  1. Clemson Univ., SC (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
+ Show Author Affiliations

In recent years, a number of quantum computing devices with small numbers of qubits have become available. A hybrid quantum local search (QLS) approach that combines a classical machine and a small quantum device to solve problems of practical size is presented. Herein, the proposed approach is applied to the network community detection problem. QLS is hardware-agnostic and easily extendable to new quantum computing devices as they become available. It is demonstrated to solve the 2-community detection problem on graphs of sizes of up to 410 vertices using the 16-qubit IBM quantum computer and D-Wave 2000Q, and compare their performance with the optimal solutions. The results herein demonstrate that QLS performs similarly in terms of quality of the solution and the number of iterations to convergence on both types of quantum computers and it is capable of achieving results comparable to state-of-the-art solvers in terms of quality of the solution including reaching the optimal solutions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001; AC05‐00OR22725; AC02‐06CH11357; 89233218NCA000001
OSTI ID:
1735893
Alternate ID(s):
OSTI ID: 1524109; OSTI ID: 1768524; OSTI ID: 1774422
Report Number(s):
LA-UR-19-20058; LA-UR-18-30364; LA-UR-19-23191
Journal Information:
Advanced Quantum Technologies, Vol. 2, Issue 9; ISSN 2511-9044
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz preprint January 2017
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Modularity and community structure in networks text January 2006
Fetching marked items from an unsorted database in NMR ensemble computing text January 2001
Parallel Quantum Computing in a Single Ensemble Quantum Computer text January 2003
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Cited By (4)

Impacts of noise and structure on quantum information encoded in a quantum memory journal July 2021
Layer VQE: A Variational Approach for Combinatorial Optimization on Noisy Quantum Computers journal January 2022
Ising-based Consensus Clustering on Specialized Hardware preprint January 2020
Ising-Based Louvain Method: Clustering Large Graphs with Specialized Hardware text January 2020

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