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 …

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 …

Detection of a mixed bipartite entangled state in arbitrary dimension via a structural physical approximation of partial transposition

A Kumari, S Adhikari - Physical Review A, 2019 - APS
It is crucial to know whether the quantum state generated in the experiment is entangled. In
the literature, this topic was studied extensively and researchers proposed different …

Realignment criteria for recognizing multipartite entanglement of quantum states

YH Zhang, YY Lu, GB Wang, SQ Shen - Quantum Information Processing, 2017 - Springer
By multiple realignments of density matrices, we present a new separability criterion for the
multipartite quantum state, which includes the computable cross-norm or realignment …

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 …

Search for an efficient entanglement witness operator for bound entangled states in bipartite quantum systems

S Aggarwal, S Adhikari - Annals of Physics, 2022 - Elsevier
Entanglement detection problem is one of the important problem in quantum information
theory. Gurvit (2014) showed that this problem is NP complete and thus this may be the …

Enhanced entanglement criterion via symmetric informationally complete measurements

J Shang, A Asadian, H Zhu, O Gühne - Physical Review A, 2018 - APS
We show that a special type of measurements, called symmetric informationally complete
positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection …

[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 …

Test for entanglement using physically observable witness operators and positive maps

K Chen, LA Wu - Physical Review A, 2004 - APS
Abstract Motivated by the Peres-Horodecki criterion and the realignment criterion we
develop a more powerful method to identify entangled states for any bipartite system through …

Structural physical approximations and entanglement witnesses

BH Wang, DY Long - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
The structural physical approximation (SPA) to a positive map is considered to be one of the
most important methods to detect entanglement in the real physical world. We first show that …