Compiling Permutations for Superconducting QPUs

Mathias Soeken, Fereshte Mozafari, Bruno Schmitt and Giovanni De Micheli
Integrated Systems Laboratory, EPFL, Lausanne, Switzerland

ABSTRACT


In this paper we consider the compilation of quantum state permutations into quantum gates for physical quantum computers. A sequence of generic single-target gates, which realize the input permutation, are extracted using a decomposition based reversible logic synthesis algorithm. We present a compilation algorithm that translates single-target gates into a quantum circuit composed of the elementary quantum gate sets that are supported by IBM’s 5-qubit and 16-qubit, and Rigetti’s 8- qubit and 19-qubit superconducting transmon QPUs. Compared to generic state-of-the-art compilation techniques, our technique improves gate volume and gate depth by up to 59% and 53%, respectively.



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