Epistemic Restrictions in Hilbert Space Quantum Mechanics

Abstract

A resolution of the quantum measurement problem(s) using the consistent histories interpretation yields in a rather natural way a restriction on what an observer can know about a quantum system, one that is also consistent with some results in quantum information theory. This analysis provides a quantum mechanical understanding of some recent work that shows that certain kinds of quantum behavior are exhibited by a fully classical model if by hypothesis an observer's knowledge of its state is appropriately limited.

Minor revisions. Agrees pretty much with published version

References in corpus (4)

• Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
• Quasiclassical Coarse Graining and Thermodynamic Entropy
• Types of quantum information
• Quantum Measurements Are Noncontextual

Cited by in corpus (3)

• Is the quantum state real? An extended review of $\psi$-ontology theorems
• The Objective Past of a Quantum Universe: Redundant Records of Consistent Histories
• The New Quantum Logic