Presentation Information

[25p-61C-7]Coherence influx is indispensable for quantum reservoir computing

〇Shumpei Kobayashi1, Hoan Tran3, Kohei Nakajima2,3,1 (1.CI, Univ. Tokyo, 2.MI, Univ. Tokyo, 3.AI, Univ. Tokyo)

Keywords:

quantum reservoir computing,echo state property,Pauli transfer matrix

Echo state property (ESP) is a fundamental concept for an input-driven dynamical system to perform information processing tasks. Recently, the authors proposed extensions of ESP to possibly non-stationary systems and subsystems. In this paper, as a follow-up, we theoretically analyze sufficient and necessary conditions for a quantum system to satisfy non-stationary ESP and subset/subspace non-stationary ESP. Our analyzation is based on extensive usage of the Pauli transfer matrix (PTM) form.