Time-optimal Qubit mapping
Abstract
Rapid progress in the physical implementation of quantum computers gave birth to multiple recent quantum machines implemented with superconducting technology. In these NISQ machines, each qubit is physically connected to a bounded number of neighbors. This limitation prevents most quantum programs from being directly executed on quantum devices. A compiler is required for converting a quantum program to a hardware-compliant circuit, in particular, making each two-qubit gate executable by mapping the two logical qubits to two physical qubits with a link between them. To solve this problem, existing studies focus on inserting SWAP gates to dynamically remap logical qubits to physical qubits. However, most of the schemes lack the consideration of time-optimality of generated quantum circuits, or are achieving time-optimality with certain constraints. In this work, we propose a theoretically time-optimal SWAP insertion scheme for the qubit mapping problem. Our model can also be extended to practical heuristic algorithms. We present exact analysis results by using our model for quantum programs with recurring execution patterns. We have for the first time discovered an optimal qubit mapping pattern for quantum fourier transformation (QFT) on 2D nearest neighbor architecture. We also present a scalable extension of our theoretical model that can be used to solve qubit mapping for large quantum circuits.
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The runtime of algorithms that calculate costs of all potential swapping candidates in each iteration when selecting a SWAP was very long.
“Although the above-mentioned algorithms claimed to achieve optimal mapping solutions, the runtime of these algorithms was very long due to the fact that they needed to calculate the costs of all the potential swapping candidates in each iteration when selecting a SWAP.”
From Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits (2024) · cites this paper as [38]
These algorithms could only handle mapping problems up to 50 qubits.
“Consequently, they could only handle mapping problems up to 50 qubits, which is much smaller than the number of required qubits for achieving quantum advantage.”
From Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits (2024) · cites this paper as [38]
TOQM failed to execute on the large-size circuits (TLE).
“For the method TOQM [38] included in the mid-size circuit experiments, it failed to execute on the large-size circuits (TLE).”
From Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits (2024) · cites this paper as [38]
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- Authors
- Zhang, C., Hayes, A. B., Qiu, L., Jin, Y., Chen, Y., & Zhang, E. Z.
- Affiliations
- University of Pittsburgh (US)
- Rutgers, The State University of New Jersey (US)
- Venue
- Proceedings of the 26th ACM International Conference on Architectural Support for Programming Languages and Operating Systems
- Publisher
- ACM
- Published
- 2021-04-17
- Pages
- 360-374
- OpenAlex
- W3154532826
- Cited by
- 74
- References
- 18
- Citations by year
- 2026: 6 · 2025: 21 · 2024: 21 · 2023: 14 · 2022: 8 · 2021: 3 · 2020: 1
- FWCI
- 5.31
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- International Conference on Architectural Support for Programming Languages and Operating Systems (ASPLOS) (publishedVersion)
- Funders
- NSF (National Science Foundation) (NSF-CCF-1628401)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Hardware and Architecture › Parallel Computing and Optimization Techniques
- Keywords
- qubit mapping, quantum circuit compilation, NISQ devices, superconducting quantum computing, quantum Fourier transform
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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