Quantum and Classical Bayesian Agents

Abstract

We describe a general approach to modeling rational decision-making agents who adopt either quantum or classical mechanics based on the Quantum Bayesian (QBist) approach to quantum theory. With the additional ingredient of a scheme by which the properties of one agent may influence another, we arrive at a flexible framework for treating multiple interacting quantum and classical Bayesian agents. We present simulations in several settings to illustrate our construction: quantum and classical agents receiving signals from an exogenous source, two interacting classical agents, two interacting quantum agents, and interactions between classical and quantum agents. A consistent treatment of multiple interacting users of quantum theory may allow us to properly interpret existing multi-agent protocols and could suggest new approaches in other areas such as quantum algorithm design.

51 pages, 17 figures

References in corpus (4)

• Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations
• Respecting One's Fellow: QBism's Analysis of Wigner's Friend
• Quantum decision theory as quantum theory of measurement
• Born's rule as a quantum extension of Bayesian coherence

Cited by in corpus (3)

• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Bayesian rational agents in iterated quantum games
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories