Selected topics in Mathematical Physics : Quantum Information Theory Talk 5 : Averages over the unitary group

Abstract

In this talk, it is shown how to calculate averages over the Unitary group by applying mathematical tools presented in the previous talk. Particulary, Schur’s Lemma is utilized to two useful examples. Eventually, the results are used to show that a random pure state on a finite-dimensional bipartite Hilbert space is close to maximally entangled. 1… (More)

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