Prospects of quantum error mitigation for quantum signal processing
Abstract
Quantum error mitigation (QEM) protocols have provably exponential bounds on the cost scaling; however, exploring which regimes QEM can recover usable results is still of sizable interest. Herein, we are interested in the performance of QEM with a template for quantum algorithms, quantum signal processing (QSP). We design a QSP-based Hamiltonian simulation of a modified Ising model under depolarizing noise for low precision and varying simulation times. We show for which of the explored noise and depth regimes our ZNE protocol can recover an approximation of the noiseless expectation value. We discuss existing bounds on the sample budget, eventually using a fixed number of shots. While this does not guarantee the success of QEM, it gives us usable results in relevant cases. Finally, we briefly discuss and present a numerical study on the region where ZNE is unusable, even given an unlimited sample budget.
Details
- Organisation(s)
-
QUEST-Leibniz Research School
Institute of Theoretical Physics
- Type
- Article
- Journal
- Physica Scripta
- Volume
- 100
- Pages
- 125119
- No. of pages
- 1
- ISSN
- 1402-4896
- Publication date
- 22.12.2025
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics, Mathematical Physics, Condensed Matter Physics
- Electronic version(s)
-
https://doi.org/10.1088/1402-4896/ae216a (Access:
Open
)
