PIRSA:16120010 Scientific Series Quantum Foundations

DOI10.48660/16120010

Series: Quantum Foundations

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

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

@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}}
}

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.

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