Hidden inverses: Coherent error cancellation at the circuit level

 

Experimental data and numerical calculations showing the advantage of hiddern inverse. 

In our new preprint (arXiv: 2104.01119) in collaboration with the MIST lab, we demonstrate a new technique “hidden inverses”, which suppresses slow varying coherent errors in quantum computing circuits efficiently. The “hidden inverses” method reduces control errors by constructing quantum gates in different ways such that systematic errors cancel. This lightweight compilation technique improves quantum circuit performance significantly without any extra operations. We show a reduction of overrotations and phase-type errors in a trapped-ion quantum computing architecture. Also, hidden inverses can be applied to any system where the gates are derived from flexible pulse control. This technique provides circuit-level protection against systematic errors, and it can be combined with other coherent error suppression methods and extended to inverses on subspaces.