What does simplicial mean in the context of QM?

[Jilang]

What does simplicial and non simplicial mean in the context of quantum mechanics?

 

[dextercioby]

What does simplicial and non simplicial mean in the context of quantum mechanics?

What do they mean outside quantum mechanics and what makes you think they mean anything within quantum mechanics ?

 

[atyy]

http://arxiv.org/pdf/1112.2347.pdf

 

[Jilang]

What do they mean outside quantum mechanics and what makes you think they mean anything within quantum mechanics ?

It came up in this thread. The question arose in post #68
https://www.physicsforums.com/threa...ies-until-measured.869455/page-4#post-5461352

 

[Jilang]

http://arxiv.org/pdf/1112.2347.pdf

Thanks, but I am having some problems deciphering it. Is there a straightforward defininition?

 

[atyy]

Thanks, but I am having some problems deciphering it. Is there a straightforward defininition?

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.

 

[Jilang]

Thanks. I will take that to mean of no fixed geometry.

 

[atyy]

Usually the quantum set is pictured as a circle.