Robust detection of an entanglement transition in the projective transverse field Ising model

TL;DR

This paper introduces a scalable, noise-resilient method combining error correction and classical shadow tomography to detect entanglement transitions in the projective transverse field Ising model, avoiding full state tomography.

Contribution

The authors develop a novel protocol that reliably detects entanglement transitions in noisy, large-scale quantum systems without requiring postselection or full tomography.

Findings

Protocol provides robust bounds under noise

Bounds accurately indicate entanglement transition

Method is experimentally feasible and scalable

Abstract

We propose a scalable and noise-resilient protocol for the detection of the entanglement transition in a projective version of the transverse field Ising model. Entanglement transitions are experimentally difficult to observe due to the inherent randomness of projective measurements and noise in large-scale experimental settings. Our approach combines error correction algorithms with classical shadow tomography to overcome both problems. This allows for experimentally accessible upper and lower bounds on the entanglement transition without postselection or full state tomography. These bounds remain robust under noise and their sharpness is a measure of the noise rate.