Hamiltonian Formalism for Comparing Quantum and Classical Intelligence

• URL: http://arxiv.org/abs/2506.14456v1
• Date: Tue, 17 Jun 2025 12:17:05 GMT
• Title: Hamiltonian Formalism for Comparing Quantum and Classical Intelligence
• Authors: Elija Perrier,
• Abstract summary: We introduce a Hamiltonian formalism for describing classical and quantum AGI tasks as a means of contrasting their interaction with the environment.<n>This formalism aims to contribute to the development of a precise mathematical language for how quantum and classical agents differ via environmental interaction.
• Score: 0.6526824510982799
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The prospect of AGI instantiated on quantum substrates motivates the development of mathematical frameworks that enable direct comparison of their operation in classical and quantum environments. To this end, we introduce a Hamiltonian formalism for describing classical and quantum AGI tasks as a means of contrasting their interaction with the environment. We propose a decomposition of AGI dynamics into Hamiltonian generators for core functions such as induction, reasoning, recursion, learning, measurement, and memory. This formalism aims to contribute to the development of a precise mathematical language for how quantum and classical agents differ via environmental interaction.

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