Entanglement in the Dicke subspace https://arxiv.org/pdf/2602.15800 Aabhas Gulati, Ion Nechita, Clément Pellegrini.
https://arxiv.org/abs/2602.15800
arXiv abstract link
arxiv.org
Afham
@afhamash.bsky.social
Research Fellow at the Centre for Quantum Technologies, National University of Singapore. Postdoc-ing instead of Age of Empires-ing. Malayali.
Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications https://arxiv.org/pdf/2602.14732 A. Afham, Marco Tomamichel.
https://arxiv.org/abs/2602.14732
arXiv abstract link
arxiv.org
New preprint out with @marcotomamichel.bsky.social ! Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications scirate.com/arxiv/2602.1... We derive simple closed-form solutions for fidelity / Bures/purified distance projections to various sets of interest.
Q: Let X be a (non-Hermitian) matrix with positive eigenvalues (such X = AB, where A,B >= 0) and let Λ be a Completely positive map. Is Λ(X) guaranteed to be a matrix with positive eigenvalues? That is, do CP maps take EVERY (including non-Herm) matrix with pos evals to matrices with pos evals?