Efficient entanglement generation and detection of generalized stabilizer states

TL;DR

This paper introduces an efficient scheme for generating and verifying large-scale multipartite entanglement using Heisenberg interactions, applicable across various quantum platforms, and optimizes entanglement detection with minimal measurements.

Contribution

It presents a novel method for entanglement generation and a generalized stabilizer-based witness with an optimized measurement strategy under noise.

Findings

Efficient multipartite entanglement generation via Heisenberg interaction

Generalized stabilizer formalism for entanglement verification

Optimized entanglement witness with minimal measurement settings

Abstract

The generation and verification of large-scale entanglement are essential to the development of quantum technologies. In this paper, we present an efficient scheme to generate genuine multipartite entanglement of a large number of qubits by using the Heisenberg interaction. This method can be conveniently implemented in various physical platforms, including superconducting, trapped-ion, and cold-atom systems. In order to characterize the entanglement of the output quantum state, we generalize the stabilizer formalism and develop an entanglement witness method. In particular, we design a generic searching algorithm to optimize entanglement witness with a minimal number of measurement settings under a given noise level. From the perspective of practical applications, we numerically study the trade-off between the experiment efficiency and the detection robustness.