Using Spectral Graph Theory to Map Qubits onto Connectivity-Limited Devices
Author(s)
Lin, Joseph
Anschuetz, Eric
Harrow, Aram
Date Issued
February 10, 2021
Publisher
1
Citation
Joseph X. Lin, Eric R. Anschuetz, and Aram W. Harrow. 2021. Using Spectral Graph Theory to Map Qubits onto Connectivity-limited Devices. ACM Transactions on Quantum Computing 2, 1, Article 3 (March 2021), 30 pages.
Version
Final published version
Abstract
We propose an efficient heuristic for mapping the logical qubits of quantum algorithms to the physical qubits of connectivity-limited devices, adding a minimal number of connectivity-compliant SWAP gates. In particular, given a quantum circuit, we construct an undirected graph with edge weights a function of the two-qubit gates of the quantum circuit. Taking inspiration from spectral graph drawing, we use an eigenvector of the graph Laplacian to place logical qubits at coordinate locations. These placements are then mapped to physical qubits for a given connectivity. We primarily focus on one-dimensional connectivities and sketch how the general principles of our heuristic can be extended for use in more general connectivities.
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Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1145/3436752
