Quantum Error Mitigation Relying on Permutation Filtering
Abstract
Quantum error mitigation (QEM) is a class of promising techniques capable of reducing the computational error of variational quantum algorithms tailored for current noisy intermediate-scale quantum computers. The recently proposed permutation-based methods are practically attractive, since they do not rely on any a priori information concerning the quantum channels. In this treatise, we propose a general framework termed as permutation filters, which includes the existing permutation-based methods as special cases. In particular, we show that the proposed filter design algorithm always converge to the global optimum, and that the optimal filters can provide substantial improvements over the existing permutation-based methods in the presence of narrowband quantum noise, corresponding to large-depth, high-error-rate quantum circuits.
Cite
@article{arxiv.2107.01458,
title = {Quantum Error Mitigation Relying on Permutation Filtering},
author = {Yifeng Xiong and Soon Xin Ng and Lajos Hanzo},
journal= {arXiv preprint arXiv:2107.01458},
year = {2022}
}