The Non-m-Positive Dimension of a Positive Linear Map

We introduce a property of a matrix-valued linear map $\Phi$ that we call its ``non-m-positive dimension'' (or ``non-mP dimension'' for short), which measures how large a subspace can be if every quantum state supported on the subspace is non-positive under the action of $I_m \ot...

Full description

Bibliographic Details
Main Authors: Nathaniel Johnston, Benjamin Lovitz, Daniel Puzzuoli
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2019-08-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2019-08-12-172/pdf/