Tom O’Leary, Daniel J. Egger, Dieter Jaksch
We show that combining quantum error detection (QED) with probabilistic error cancellation (PEC) gives more accurate and lower-variance estimates than PEC alone, provided that the symmetry measurements required for QED are carefully chosen. Because noisy symmetry measurements can negate the benefits of the PEC+QED approach, we cast the selection of measurement configurations as a classical optimization problem that systematically suppresses the impact of noise. Applying optimized PEC+QED to GHZ-state output distributions and to simulating the time-dynamics of a generalized superfast encoded Fermi-Hubbard model, we find consistent improvements over PEC. For GHZ states, the optimization over symmetry measurement configurations is essential for achieving an advantage. For the Fermi-Hubbard model, PEC+QED improves observable estimation on a 2×2 lattice and for larger systems the mitigation overheads can be reduced by measuring only subsets of stabilizers. Our results demonstrate the importance of circuit-specific tailoring of QEM techniques and that fault-tolerant design principles may already provide value for near-term devices.
Cite as BibTeX
@misc{oleary2026optimizingsymmetryinformedprobabilistic,
title={Optimizing Symmetry Informed Probabilistic Error Cancellation},
author={Tom O’Leary and Daniel J. Egger and Dieter Jaksch},
year={2026},
eprint={2607.01072},
archivePrefix={arXiv},
primaryClass={quant-ph},
url={https://arxiv.org/abs/2607.01072},
}