PIRSA:25110094

Undistillability implies PPT? A point of view from partial trace inequalities

Rico, P. (2025). Undistillability implies PPT? A point of view from partial trace inequalities. Perimeter Institute. https://pirsa.org/25110094

Rico, Pablo. Undistillability implies PPT? A point of view from partial trace inequalities. Perimeter Institute, Nov. 12, 2025, https://pirsa.org/25110094 

          @misc{ pirsa_PIRSA:25110094,
            doi = {10.48660/25110094},
            url = {https://pirsa.org/25110094},
            author = {Rico, Pablo},
            keywords = {Quantum Information},
            language = {en},
            title = {Undistillability implies PPT? A point of view from partial trace inequalities},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {nov},
            note = {PIRSA:25110094 see, \url{https://pirsa.org}}
          }

Pablo Rico Technical University of Munich (TUM)

Talk numberPIRSA:25110094
DOI10.48660/25110094
Collection
Talk Type Scientific Series
Subject

Abstract

One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. In the last decades, the study of this problem was reduced to a very special family: Werner states. In this work, we present a new characterization of this problem in terms of partial trace inequalities for the Frobenius norm and general matrices. For this reason, we will study general properties and new inequalities for partial traces of general matrices. Consequently, we will extend the interval of Werner states in which they are provably 2-undistillable in any dimension d ≥ 4. Finally, we find new Schmidt-number witnesses and k-positive maps.