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Center for Nonlinear Studies |
This lecture will be a natural continuation, and hopefully a clarification, of the postdoc seminar that I am giving earlier in the afternoon. While the former will focus on a high-level description of some topics related to my recent research, this lecture will explain in detail the "calculus" of quantum probability theory in finite dimensions. I will talk about quantum states and density matrices and will show how to compute measurement probabilities from quantum states. I will then discuss quantum entanglement and show how entanglement lets us purify noisy density matrices into noiseless pure ones on a larger system. I will assume nothing other than some linear algebra including positive semidefinite Hermitian matrices and tensor products, though I will review the latter because of its central importance.
Host: Lijun Zhu, lijun@lanl.gov