Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements

TL;DR

This paper introduces a generalized state-dependent entropic uncertainty relation for multiple measurements, which improves entanglement detection accuracy and is experimentally validated on quantum systems up to 10 qubits.

Contribution

It develops a new entropic uncertainty relation for multiple measurements that enhances entanglement detection, including experimental validation on a cloud quantum platform.

Findings

Superior entanglement detection for non-mutually unbiased measurements

Experimental detection of multipartite entanglement up to 10 qubits

Provides accessible lower bounds for bipartite and tripartite entanglements

Abstract

We present the generalized state-dependent entropic uncertainty relations in multiple measurements setting, and the optimal lower bound is obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement, and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to a physical system of two particles on a one-dimensional lattice, and GHZ-Werner state. It is shown that, for measurements that are not in mutually unbiased bases, this new entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. Furthermore, we conduct an online experiment to detect multipartite entanglement of GHZ states up to 10 qubits on Quafu cloud quantum computation platform. Our results might play important roles in detecting multipartite entanglement experimentally.