Scalable multipartite entanglement criteria for continuous variables

TL;DR

This paper introduces a practical and scalable method for detecting multipartite entanglement in continuous variable quantum systems using covariance matrices, advancing quantum information processing capabilities.

Contribution

It presents a general entanglement detection criterion based on matched entanglement witnesses and uncertainty relations applicable to all multipartite continuous variable states.

Findings

Detects various types of entanglement quickly using covariance matrices.

Applicable to all kinds of multimode continuous variable quantum states.

Enables efficient entanglement verification in scalable quantum systems.

Abstract

Multipartite entanglement detection is crucial for the develop of quantum information science and quantum computation, communication, simulation and metrology tasks. In contrast to experiments, where several handreds of qubits have been entangled to build a quantum computer or a quantum simulator, theoretically only for lower dimensional quantum system such as two qubit system or two-mode Gaussian state and some special quantum states, efficient criteria have been developed to detect the entanglement. An efficient and practical entanglement detection method is anticipated to appear for current scalable quantum system. Based on the matched entanglement witness scheme and integrated uncertainty relations, we propose a quite general entanglement detection method for all kinds of multipartite entanglement of multimode continuous variable systems. With the covariance matrix of any randomly generated multimode continuous variable quantum state, our criterion can detect entanglement, genuine entanglement and other kinds of inseparabilities almost imidiately.