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 …

Entangled states in the role of witnesses

BH Wang - Physical Review A, 2018 - APS
Quantum entanglement lies at the heart of quantum mechanics and quantum information
processing. In this work, we show a framework where entangled states play the role of …

Characterization and properties of weakly optimal entanglement witnesses

BH Wang, HR Xu, S Campbell, S Severini - arXiv preprint arXiv:1407.0870, 2014 - arxiv.org
We present an analysis of the properties and characteristics of weakly optimal entanglement
witnesses, that is witnesses whose expectation value vanishes on at least one product …

Guaranteeing completely positive quantum evolution

D Dilley, A Gonzales, M Byrd - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
In open quantum systems, it is known that if the system and environment are in a product
state, the evolution of the system is given by a linear completely positive (CP) Hermitian …

Universal methods for extending any entanglement witness from the bipartite to the multipartite case

BH Wang, HR Xu, S Severini - Physical Review A, 2014 - APS
Any bipartite entanglement witness W can be written as W= c σ I− σ, where σ is a quantum
state, I is the identity matrix, and c σ is a non-negative number. We present a general method …