PIRSA:16120010

GEOMETRY OF QUANTUM ENTANGLEMENT

APA

Zyczkowski, K. (2016). GEOMETRY OF QUANTUM ENTANGLEMENT. Perimeter Institute. https://pirsa.org/16120010

MLA

Zyczkowski, Karol. GEOMETRY OF QUANTUM ENTANGLEMENT. Perimeter Institute, Dec. 01, 2016, https://pirsa.org/16120010

BibTex

          @misc{ pirsa_16120010,
            doi = {10.48660/16120010},
            url = {https://pirsa.org/16120010},
            author = {Zyczkowski, Karol},
            keywords = {Quantum Foundations},
            language = {en},
            title = {GEOMETRY OF QUANTUM ENTANGLEMENT},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {dec},
            note = {PIRSA:16120010 see, \url{https://pirsa.org}}
          }
          

Karol Zyczkowski Jagiellonian University

Abstract

A geometric approach to investigation of quantum entanglement is advocated.
We discuss first the geometry of the (N^2-1)--dimensional convex body
of  mixed quantum states acting  on an N--dimensional Hilbert space
and study projections of this set into 2- and 3-dimensional spaces.
For composed dimensions, N=K^2, one consideres the subset
of separable states and shows that it has a positive measure.
Analyzing its properties contributes to our understanding of
quantum entanglement and its time evolution.