Quantum computing for a profusion of postman problem variants

Pion, Joel Ethan; Negre, Christian Francisco Andres; Mniszewski, Susan M.

doi:10.1007/s42484-023-00111-6

Quantum computing for a profusion of postman problem variants

Journal Article · Mon Jul 03 00:00:00 EDT 2023 · Quantum Machine Intelligence

DOI:https://doi.org/10.1007/s42484-023-00111-6· OSTI ID:1992264

Pion, Joel Ethan ^[1]; ^[2]; ^[2]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of California, Santa Barbara, CA (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

In this paper we study the viability of solving the Chinese Postman Problem, a graph routing optimization problem, and many of its variants on a quantum annealing device. Routing problem variants considered include graph type, directionally varying weights, number of parties involved in routing, among others. We put emphasis on the explanation of how to convert such problems into quadratic unconstrained binary optimization (QUBO) problems. QUBO is one of two equivalent natural paradigms for quantum annealing devices, the other being the Ising Model. We also expand upon a previously discovered algorithm for solving the Chinese Postman Problem on a closed undirected graph to decrease the number of constraints and variables used in the problem. Optimal annealing parameter settings and constraint weight values are discussed based on results from implementation on the D-Wave 2000Q and Advantage. Results from classical, purely quantum, and hybrid algorithms are compared.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1992264

Report Number(s):: LA-UR-22-27468

Journal Information:: Quantum Machine Intelligence, Journal Name: Quantum Machine Intelligence Journal Issue: 2 Vol. 5; ISSN 2524-4906

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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