Relative descriptors for quantum agents
arXiv:2406.06719 · doi:10.1088/1751-8121/ada74a
Abstract
We use the Heisenberg picture of Everettian quantum mechanics to work out the relative descriptors for the Frauchiger-Renner thought experiment. While Everettian mechanics reveals no paradox within the thought experiment, the decoherence-free setup offers an instructive branching tree. Traditionally, branching structures derived from the Schrödinger picture suggest that foliations are always sharply defined. However, the Heisenberg picture demonstrates that the tree contains regions with inherently non-sharp foliations, leading to the conclusion that, in Everettian mechanics, quantum agents possess a history with a non-sharp memory registry.
13 pages, 2 figures, 1 table
References in corpus (12)
- Quantum Theory of Probability and Decisions
- How Quantum Mechanics can consistently describe the use of itself
- Quantum theory cannot consistently describe the use of itself
- Information Flow in Entangled Quantum Systems
- Testing quantum theory with thought experiments
- Everettian relative states in the Heisenberg picture
- Developing the Deutsch-Hayden approach to quantum mechanics
- Entanglement without nonlocality
- Quantum mechanical rules for observed observers and the consistency of quantum theory
- Thought experiments in a quantum computer
- Wigner's friend's memory and the no-signaling principle
- Quantum theories with local information flow