ResearchResearch paperReinforcement Learning1 source · Oct 12, 2026

Density-Matrix Reinforcement Learning

What information does a reinforcement learning policy omit?

Key points

  • We store the policy at each state as a density matrix, a positive semidefinite, unit-trace matrix borrowed from quantum information theory.
  • This gives density-matrix reinforcement learning (DMRL).
  • First, suppose a policy is regularized toward a coherent reference policy using matrix relative entropy.
  • In a two-action example, both policies assign probability $0.5$ to each action, yet the classical one earns expected reward $0$ while the coherent one earns $1$, the maximum.

Sources (1)

  • [1]Density-Matrix Reinforcement Learning
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 12, 06:00 PM
    What information does a reinforcement learning policy omit?
    We store the policy at each state as a density matrix, a positive semidefinite, unit-trace matrix borrowed from quantum information theory.

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