Divisible quantum dynamics satisfies temporal Tsirelson's bound

TL;DR

This paper demonstrates that divisible qubit quantum processes adhere to the temporal Tsirelson's bound, and that entanglement-breaking channels uphold the classical bound of the temporal Bell's inequality, linking process structure to fundamental bounds.

Contribution

It provides evidence that process divisibility enforces quantum bounds and that entanglement-breaking channels ensure classical bounds in temporal Bell scenarios.

Findings

Divisible quantum processes satisfy the temporal Tsirelson's bound.

Entanglement-breaking channels uphold the classical bound of the temporal Bell's inequality.

Process structure influences fundamental quantum and classical bounds.

Abstract

We give strong evidence that divisibility of qubit quantum processes implies temporal Tsirelson's bound. We also give strong evidence that the classical bound of the temporal Bell's inequality holds for dynamics that can be described by entanglement-breaking channels---a more general class of dynamics than that allowed by classical physics.