Recent content by tonyetc
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Graduate Understanding Spin Density Matrix Invariance
hi, if you mean how a general density matrix is invariant under unitary transformation, the consider that density matrices are used to evaluate mean values of an operator A, <A R>= Tr(AR), where R is the density matrix and Tr denotes the trace operation. Then performing a unitary transformation...- tonyetc
- Post #2
- Forum: Quantum Physics
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Graduate Schmidt Decomposition: Is It Enough to Find States?
I'm sorry you waited so long, but I just signed in yesterday and life is so involving that someone sometimes has to wait a little...:-)- tonyetc
- Post #5
- Forum: Quantum Physics
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Graduate Schmidt Decomposition: Is It Enough to Find States?
Hello, Schmidt decomposition is a usefull tool for bipartite systems: if it admits a decomposition with more than one Schmidt coefficient, then the overall state is an entangled one. So every bipartite state has a Schmidt decomposition, but only if it's entangles there's more than one...- tonyetc
- Post #3
- Forum: Quantum Physics