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- W2476704654 abstract "In the present paper, we consider the marginal entropy of the a pure state in the tensor product of two Hilbert spaces. The expectation of the marginal entropy of a random pure state with respect to the Haar measure of unitary transformation on the tensor product Hilbert space depends on group integrals of unitary group. For group integrals of ordinary representation matrix elements of $rm U(n)$, we provide a elementary method to reobtain Weingarton's result of asymptotical behavior of group integrals. For group integrals of matrix elements of irreducible representations of $rm U(n)$,we generalize the Weyl-Schur duality theorem and get an algorithm." @default.
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- W2476704654 date "2008-11-03" @default.
- W2476704654 modified "2023-09-27" @default.
- W2476704654 title "Integrals of unitary groups and entropy of random pure states" @default.
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