On Decision-Making Agents and Higher-Order Causal Processes

📝 Original Info

• Title: On Decision-Making Agents and Higher-Order Causal Processes
• ArXiv ID: 2512.10937
• Date: 2025-12-11
• Authors: Matt Wilson

📝 Abstract

We establish a precise correspondence between decision-making agents in partially observable Markov decision processes (POMDPs) and one-input process functions, the classical limit of higherorder quantum operations. In this identification an agent's policy and memory update combine into a process function w that interacts with a POMDP environment via the link product. This suggests a dual interpretation: in the physics view, the process function acts as the environment into which local operations (agent interventions) are inserted, whereas in the AI view it encodes the agent and the inserted functions represent environments. We extend this perspective to multi-agent systems by identifying observation-independent decentralized POMDPs as natural domains for multi-input process functions.

📄 Full Content

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