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.
Postdoc-ing instead of Age of Empires-ing.
Malayali.
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?
That is, do CP maps take EVERY (including non-Herm) matrix with pos evals to matrices with pos evals?
March 21, 2025 at 10:09 PM
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?
That is, do CP maps take EVERY (including non-Herm) matrix with pos evals to matrices with pos evals?