Cited by 54Quantum Computing Algorithms and ArchitectureVLSI and FPGA Design TechniquesQuantum Information and Cryptography

Qubit Mapping and Routing via MaxSAT

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Molavi, Abtin, Xu, Amanda, Diges, Martin, Pick, Lauren, Tannu, Swamit, Albarghouthi, Aws·2022·2022 55th IEEE/ACM International Symposium on Microarchitecture (MICRO)

Abstract

Near-term quantum computers will operate in a noisy environment, without error correction. A critical problem for near-term quantum computing is laying out a logical circuit onto a physical device with limited connectivity between qubits. This is known as the qubit mapping and routing (QMR) problem, an intractable combinatorial problem. It is important to solve QMR as optimally as possible to reduce the amount of added noise, which may render a quantum computation useless. In this paper, we present a novel approach for optimally solving the QMR problem via a reduction to maximum satisfiability (MAXSAT). Additionally, we present two novel relaxation ideas that shrink the size of the MAXSAT constraints by exploiting the structure of a quantum circuit. Our thorough empirical evaluation demonstrates (1) the scalability of our approach compared to state-of-the-art optimal QMR techniques (solves more than 3x benchmarks with 40x speedup), (2) the significant cost reduction compared to state-of-the-art heuristic approaches (an average of ~5x swap reduction), and (3) the power of our proposed constraint relaxations.

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Crossref · 10.1109/micro56248.2022.00077

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Authors
Molavi, A., Xu, A., Diges, M., Pick, L., Tannu, S., & Albarghouthi, A.
Affiliations
University of Wisconsin–Madison (US)
Venue
2022 55th IEEE/ACM International Symposium on Microarchitecture (MICRO)
Publisher
IEEE
Published
2022-10
Pages
1078-1091
ISSN
1072-4451 (ISSN-L)
OpenAlex
W4308083589
Cited by
54
References
44
Citations by year
2026: 7 · 2025: 23 · 2024: 13 · 2023: 10 · 2022: 1
FWCI
6.49
Type
conference paper
Language
en
Open access
Locations
  • IEEE/ACM International Symposium on Microarchitecture (MICRO) (publishedVersion)
  • arXiv (Cornell University) (submittedVersion, cc-by-nc-sa)
  • arXiv (Cornell University)
Funders
Wisconsin Alumni Research Foundation
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › VLSI and FPGA Design Techniques
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
Keywords
qubit mapping, qubit routing, MaxSAT, quantum circuit compilation, noisy quantum computers, constraint relaxation, combinatorial optimization, SWAP gate, quantum hardware mapping

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