Quantum adaptive agents with efficient long-term memories
Thomas J. Elliott, Mile Gu, Andrew J. P. Garner, Jayne Thompson

TL;DR
This paper explores quantum agents with long-term memory capabilities, demonstrating they can significantly outperform classical agents in memory efficiency and retention of distant past information.
Contribution
It identifies the optimal quantum memory encoding strategies and systematically characterizes their advantages over classical memory in adaptive agents.
Findings
Quantum agents achieve superior memory compression.
Quantum encodings scale better for long-term information retention.
Significant advantages over classical agents in complex adaptive tasks.
Abstract
Central to the success of adaptive systems is their ability to interpret signals from their environment and respond accordingly -- they act as agents interacting with their surroundings. Such agents typically perform better when able to execute increasingly complex strategies. This comes with a cost: the more information the agent must recall from its past experiences, the more memory it will need. Here we investigate the power of agents capable of quantum information processing. We uncover the most general form a quantum agent need adopt to maximise memory compression advantages, and provide a systematic means of encoding their memory states. We show these encodings can exhibit extremely favourable scaling advantages relative to memory-minimal classical agents, particularly when information must be retained about events increasingly far into the past.
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