A (quasi-)polynomial time heuristic algorithm for synthesizing T-depth optimal circuits

Abstract We investigate the problem of synthesizing T-depth optimal quantum circuits for exactly implementable unitaries over the Clifford+T gate set. We construct a subset, $${{\mathbb{V}}}_{n}$$ V n , of T-depth 1 unitaries. T-depth-optimal decomposition of unitary U is $${e}^{i\phi }\left({\prod...

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Bibliographic Details
Main Authors: Vlad Gheorghiu, Michele Mosca, Priyanka Mukhopadhyay
Format: Article
Language:English
Published: Nature Portfolio 2022-09-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-022-00624-1