Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session F73: Error Mitigation Theory and Extensions
8:00 AM–11:00 AM,
Tuesday, March 7, 2023
Room: Room 405
Sponsoring
Unit:
DQI
Chair: Andrew Eddins, IBM Quantum
Abstract: F73.00006 : Hypothesis Testing for Error Mitigation: How to Judge Error Mitigation
9:00 AM–9:12 AM
Presenter:
Abdullah Ash Saki
(Zapata Computing)
Authors:
Abdullah Ash Saki
(Zapata Computing)
Salonik Resch
(Zapata Computing)
George Umbrarescu
(Zapata Computing/University College London)
Archismita Dalal
(Zapata Computing)
Amara Katabarwa
(Zapata Computing)
These observations provoke three key questions:
(a) How to determine if an EM pipeline mitigates error more often than not?
(b) How to compare multiple EM pipelines? and
(c) How to capture mitigation efficiency and resource overhead succinctly with a single metric?
In this work, we utilize a statistical hypothesis testing procedure to answer questions (a) and (b). Particularly, one-sample test of proportions to evaluate a single EM pipeline and two-sample test of proportions to compare multiple pipelines while for the last question we propose an entropic figure of merit. Finally, we demonstrate the use case of the hypothesis testing and the figure merit by conducting hardware experiments with several EM pipelines.
Our proposed approach and the metric will enable researchers to evaluate both existing and novel EM methods boosting NISQ applications as well.
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