Hamiltonian Formalism for Comparing Quantum and Classical Intelligence

TL;DR

This paper introduces a Hamiltonian formalism to compare classical and quantum artificial general intelligence (AGI) by modeling their core functions and interactions with the environment, aiming to clarify their differences.

Contribution

It develops a novel Hamiltonian framework for representing and contrasting classical and quantum AGI dynamics and core functions.

Findings

Provides a mathematical language for quantum-classical AGI comparison

Decomposes AGI functions into Hamiltonian generators

Facilitates analysis of environmental interactions in AGI

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.