Weingarten calculus for matrix ensembles associated with compact symmetric spaces

Abstract

A method for computing integrals of polynomial functions on compact symmetric spaces is given. Those integrals are expressed as sums of functions on symmetric groups.

26 pages, final version

References in corpus (6)

• Optimizing quantum process tomography with unitary 2-designs
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• General moments of matrix elements from circular orthogonal ensembles
• Monotone Hurwitz numbers and the HCIZ integral II
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