Geometric Approach to Zero-Memory Quantum Dot Reservoir Computing
Abstract
Physical reservoir computing offers an energy-efficient alternative to conventional neural networks, where the material-specific intrinsic memory capacity in a physical system plays an indispensable role. Substituting temporal memory with spatial degrees of freedom, we demonstrate that the memory capacity can be created extrinsically in systems with no intrinsic memory by exploiting the computational space-time tradeoff. Our approach utilizes multidimensional input nodes to function as a spatial memory axis, thereby replacing the dependency on intrinsic history-dependent dynamics in the reservoir. Our scheme is validated in a multi-terminal quantum dot system, whose discrete energy levels provide strong nonlinearity and complexity crucial for reservoir computing, while its short relaxation time leaves no room for intrinsic memory. Numerically, the quantum dot reservoir with a tunable extrinsic memory shows high performance on both chaotic future prediction and nonlinear transformation tasks. Furthermore, from the analysis of quantum state trajectory acquired from task operations, the geometric understanding of the extrinsic memory capacity, nonlinearity, and complexity is provided and their correlations are systematically investigated.
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BibTeX
@misc{kim2026geometric,
title = {{Geometric Approach to Zero-Memory Quantum Dot Reservoir Computing}},
author = {Bongsu Kim and Oscar Lee and Sangjun Jeon and Kun Woo Kim},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.29320},
eprint = {2606.29320},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29320},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometric Approach to Zero-Memory Quantum Dot Reservoir Computing
AU - Bongsu Kim
AU - Oscar Lee
AU - Sangjun Jeon
AU - Kun Woo Kim
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2606.29320
UR - https://arxiv.org/abs/2606.29320
AB - Physical reservoir computing offers an energy-efficient alternative to conventional neural networks, where the material-specific intrinsic memory capacity in a physical system plays an indispensable role. Substituting temporal memory with spatial degrees of freedom, we demonstrate that the memory capacity can be created extrinsically in systems with no intrinsic memory by exploiting the computational space-time tradeoff. Our approach utilizes multidimensional input nodes to function as a spatial memory axis, thereby replacing the dependency on intrinsic history-dependent dynamics in the reservoir. Our scheme is validated in a multi-terminal quantum dot system, whose discrete energy levels provide strong nonlinearity and complexity crucial for reservoir computing, while its short relaxation time leaves no room for intrinsic memory. Numerically, the quantum dot reservoir with a tunable extrinsic memory shows high performance on both chaotic future prediction and nonlinear transformation tasks. Furthermore, from the analysis of quantum state trajectory acquired from task operations, the geometric understanding of the extrinsic memory capacity, nonlinearity, and complexity is provided and their correlations are systematically investigated.
ER -