Quantum reservoir computing using the stabilizer formalism for encoding classical data

TL;DR

This paper introduces a stabilizer formalism-based method for encoding classical data in quantum reservoir computing, enhancing robustness and systematic encoding for time series analysis.

Contribution

It generalizes classical encoding/decoding in quantum reservoir computing using stabilizer cosets, providing a systematic and robust approach.

Findings

Performance improves with longer training data.

System effectively encodes logistic and Hénon map time series.

Decoding step ensures consistent encoding.

Abstract

Utilizing a quantum system for reservoir computing has recently received a lot of attention. Key challenges are related to how on can optimally en- and decode classical information, as well as what constitutes a good reservoir. Our main contribution is a generalization of the standard way to robustly en- and decode time series into subspaces defined by the cosets of a given stabilizer. A key observation is the necessity to perform the decoding step, which in turn ensures a consistent way of encoding. This provides a systematic way to encode classical information in a robust way. We provide a numerical analysis on a discrete time series given by two standard maps, namely the logistic and the H\'enon map. Our numerical findings indicate that the system's performance is increasing with the length of the training data.