A $\psi$-Ontology Result without the Cartesian Product Assumption

Abstract

We introduce a weakening of the Preparation Independence Postulate of Pusey, Barrett, and Rudolph that does not presuppose that the space of ontic states resulting from a product state preparation can be represented by the Cartesian product of subsystem state spaces. On the basis of this weakened assumption, it is shown that, in any model that reproduces the quantum probabilities, any pair of pure quantum states $|\psi ⟩$, $|\varphi ⟩$ with $\bktϕψ \leq 1/\sqrt{2}$ must be ontologically distinct.

Minor changes from v2; this version matches version accepted for publication

References in corpus (1)

• Is the quantum state real? An extended review of $\psi$-ontology theorems

Cited by in corpus (4)

• A representation of the wave function on the three-dimensional space
• How Real are Quantum States in $\psi$-ontic Models?
• The post-determined block universe
• Quantum Entanglement in Time