Possibility of Upper-Bounding Dimension of Quantum States Device-Independently

TL;DR

This paper explores the potential to establish upper bounds on the dimension of quantum states without relying on device details, demonstrating that for pure states, four specific states can be generated with a dimension limit of two.

Contribution

It introduces a method to device-independently upper-bound the dimension of pure quantum states using a set of four states.

Findings

Pure states can be bounded by dimension two using four specific states.

Device-independent techniques can estimate quantum state dimensions.

The approach applies to pure quantum states for dimension bounding.

Abstract

We discuss possibility of upper-bounding dimension of quantum states device-independently. Provided that the states are pure, it is possible to generate certain four states whose dimension is bounded by two.