Quantum separability criteria based on realignment moments

T Zhang, N Jing, SM Fei - Quantum Information Processing, 2022 - Springer
Quantum entanglement is the core resource in quantum information processing and
quantum computing. It is a significant challenge to effectively characterize the entanglement …

[HTML][HTML] Detection and measure of genuine entanglement based on the realignment of density matrices for tripartite quantum states

X Qi - Results in Physics, 2024 - Elsevier
As one of the important types of entanglement, genuine multipartite entanglement plays a
key role in both foundational and practical aspects of quantum information theory. In this …

Separability criteria based on the realignment of density matrices and reduced density matrices

SQ Shen, MY Wang, M Li, SM Fei - Physical Review A, 2015 - APS
By combining a parameterized Hermitian matrix, the realignment matrix of the bipartite
density matrix, and the vectorization of its reduced density matrices, we present a family of …

[HTML][HTML] Improved bounds on some entanglement criteria in bipartite quantum systems

L Tang, F Wu - Results in Physics, 2023 - Elsevier
Entanglement detection is one of the core tasks in quantum information processing. Based
on a broad class of informationally complete symmetric measurements, a series of …

Separability criteria based on the correlation tensor moments for arbitrary dimensional states

X Huang, N Jing - Quantum Information Processing, 2024 - Springer
As one of the most profound features of quantum mechanics, entanglement is a vital
resource for quantum information processing. Inspired by the recent work on PT-moments …

Physical realization of realignment criteria using the structural physical approximation

S Aggarwal, A Kumari, S Adhikari - Physical Review A, 2023 - APS
Entanglement detection is an important problem in quantum information theory because
quantum entanglement is a key resource in quantum information processing. Realignment …

Entanglement detection beyond the computable cross-norm or realignment criterion

CJ Zhang, YS Zhang, S Zhang, GC Guo - Physical Review A—Atomic …, 2008 - APS
Separability problem, to decide whether a given state is entangled or not, is a fundamental
problem in quantum information theory. We propose a powerful and computationally simple …

Quantum entanglement estimation via symmetric-measurement-based positive maps

J Li, H Yao, SM Fei, Z Fan, H Ma - Physical Review A, 2024 - APS
We provide a class of positive and trace-preserving maps based on symmetric
measurements. From these positive maps we present separability criteria, entanglement …

Entanglement detection in arbitrary-dimensional bipartite quantum systems through partial realigned moments

S Aggarwal, S Adhikari, AS Majumdar - Physical Review A, 2024 - APS
Detection of entanglement through partial knowledge of the quantum state is a challenge to
implement efficiently. Here we propose a separability criterion for detecting bipartite …

Separability-entanglement classifier via machine learning

S Lu, S Huang, K Li, J Li, J Chen, D Lu, Z Ji, Y Shen… - Physical Review A, 2018 - APS
The problem of determining whether a given quantum state is entangled lies at the heart of
quantum information processing. Despite the many methods—such as the positive partial …