Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I What does simplicial mean in the context of QM?

  1. May 1, 2016 #1
    What does simplicial and non simplicial mean in the context of quantum mechanics?
     
  2. jcsd
  3. May 1, 2016 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    What do they mean outside quantum mechanics and what makes you think they mean anything within quantum mechanics ?
     
  4. May 1, 2016 #3

    atyy

    User Avatar
    Science Advisor

  5. May 1, 2016 #4
  6. May 1, 2016 #5
    Thanks, but I am having some problems deciphering it. Is there a straightforward defininition?
     
  7. May 1, 2016 #6

    atyy

    User Avatar
    Science Advisor

    Another word for simplicial is polytope - it's a shape with pointy points like a square or a triangle. In a classical probabilistic theory, every mixture is a unique mix of pure states. But this is not true for a mixed density matrix, which can be written in many ways as a mixture of pure density matrices.
     
  8. May 2, 2016 #7
    Thanks. I will take that to mean of no fixed geometry.
     
  9. May 2, 2016 #8

    atyy

    User Avatar
    Science Advisor

    Usually the quantum set is pictured as a circle.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: What does simplicial mean in the context of QM?
  1. What does POVM mean? (Replies: 2)

Loading...