Architecture aware compilation of quantum circuits via lazy synthesis

Simon Martiel1 and Timothée Goubault de Brugière1,2,3

1Atos Quantum Lab. Les Clayes-sous-bois, France
2Laboratoire de Recherche en Informatique (LRI), Orsay, France
3Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Nancy, France

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Qubit routing is a key problem for quantum circuit compilation. It consists in rewriting a quantum circuit by adding the least possible number of instructions to make the circuit compliant with some architecture's connectivity constraints. Usually, this problem is tackled via either SWAP insertion techniques or re-synthesis of portions of the circuit using architecture aware synthesis algorithms. In this work, we propose a meta-heuristic that couples the iterative approach of SWAP insertion techniques with greedy architecture-aware synthesis routines. We propose two new compilation algorithms based on this meta-heuristic and compare their performances to state-of-the-art quantum circuit compilation techniques for several standard classes of quantum circuits and show significant reduction in the entangling gate overhead due to compilation.

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Cited by

[1] Vivien Vandaele, Simon Martiel, and Timothée Goubault de Brugière, "Phase polynomials synthesis algorithms for NISQ architectures and beyond", Quantum Science and Technology 7 4, 045027 (2022).

[2] P. Besserve and T. Ayral, "Unraveling correlated material properties with noisy quantum computers: Natural orbitalized variational quantum eigensolving of extended impurity models within a slave-boson approach", Physical Review B 105 11, 115108 (2022).

[3] Mohammad Haidar, Marko J. Rančić, Thomas Ayral, Yvon Maday, and Jean-Philip Piquemal, "Open Source Variational Quantum Eigensolver Extension of the Quantum Learning Machine (QLM) for Quantum Chemistry", arXiv:2206.08798.

The above citations are from Crossref's cited-by service (last updated successfully 2022-12-08 03:35:15) and SAO/NASA ADS (last updated successfully 2022-12-08 03:35:16). The list may be incomplete as not all publishers provide suitable and complete citation data.