Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations

TL;DR

This paper introduces experimentally accessible lower bounds on distillable entanglement using entropic uncertainty relations, applicable to various quantum systems and realizable with minimal measurements.

Contribution

It presents a novel method to bound entanglement experimentally through entropic uncertainty relations, requiring only two measurement bases.

Findings

Derived bounds are applicable to cold-atom experiments.

Bounds are based on measurements in only two bases.

Method is broadly applicable to quantum simulation platforms.

Abstract

Entanglement is not only the resource that fuels many quantum technologies but also plays a key role for some of the most profound open questions of fundamental physics. Experiments controlling quantum systems at the single quantum level may shed light on these puzzles. However, measuring, or even bounding, entanglement experimentally has proven to be an outstanding challenge, especially when the prepared quantum states are mixed. We use entropic uncertainty relations for bipartite systems to derive measurable lower bounds on distillable entanglement. We showcase these bounds by applying them to physical models realizable in cold-atom experiments. The derived entanglement bounds rely on measurements in only two different bases and are generically applicable to any quantum simulation platform.