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_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}} }
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.