Quantum error mitigation relying on permutation filtering

Xiong, Yifeng, Ng, Soon Xin and Hanzo, Lajos (2021) Quantum error mitigation relying on permutation filtering. IEEE Transactions on Communications. (doi:10.1109/TCOMM.2021.3132914).

Record type: Article

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.

Text

qfilter - Accepted Manuscript

Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (1MB)

More information

e-pub ahead of print date: 6 December 2021

Published date: 6 December 2021

Keywords: Computers, Optimization, Quantum algorithm, Quantum computing, Quantum error mitigation, Qubit, Signal processing algorithms, Task analysis, permutation filtering, permutation symmetry, variational quantum algorithms

Learn more about School of Electronics and Computer Science research Learn more about Next Generation Wireless research