Qubit Mapping and Routing via MaxSAT
Open accessAbstract
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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Exact methods for qubit mapping, although optimal for small circuits, are inferior to heuristic methods in large circuits.
“However, these exact methods, although being able to achieve optimality for small circuits, are inferior to the heuristic methods in large circuits.”
From Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits (2024) · cites this paper as [36]
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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
- green
- arxiv.org
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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