Virtual mitigation of coherent non-adiabatic transitions by echo verification

• DOI: 10.22331/q-2024-05-14-1346
• Publication Date: 2024-05-14T13:00:11Z
• Authors: Benjamin F. Schiffer; Dyon van Vreumingen; Jordi Tura; Stefano Polla
• Keywords: Echo (communications protocol)

Transitions out of the ground space limit performance quantum adiabatic algorithms, while hardware imperfections impose stringent limitations on circuit depth. We propose an echo verification protocol which mitigates both coherent and incoherent errors, arising from non-adiabatic transitions noise, respectively. Quasi-adiabatically evolving forward backward allows for echo-verified measurement any observable. In addition to mitigating our method uses positive-time dynamics only. Crucially, estimator bias observable is reduced when compared standard preparation, achieving up a quadratic improvement.