Work

An Effective Way to Determine the Separability of Quantum State

Year: 2025

Type: article

Abstract: We propose in this work a practical approach to address the longstanding and challenging problem of quantum separability, leveraging the correlation matrices of generic observables. General separability conditions are obtained by dint of constructing the measurement-induced Bloch space, which in essence come from the intrinsic constraints in the space of quantum state. The novel approach can not only reproduce various established entanglement criteria, it may as well brings about some new results, possessing obvious advantages for certain bound entangled states and the high dimensional Werner states. Moreover, it is found that criteria obtained in our approach can be directly transformed into entanglement witness operators.

Source: Quantum

DOI: 10.22331/q-2025-05-06-1734

Authors: Ma-Cheng Yang, Cong-Feng Qiao

Institutions: University of Chinese Academy of Sciences, Chinese Academy of Sciences

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $215