Symbolic integration with respect to the Haar measure on the unitary group

Jaros{\l}aw Adam Miszczak; Zbigniew Pucha{\l}a

Symbolic integration with respect to the Haar measure on the unitary group

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arxiv 1109.4244 v2 pith:VGSIAGBR submitted 2011-09-20 physics.comp-ph cs.SCquant-ph

Zbigniew Pucha{l}a , Jaros{l}aw Adam Miszczak This is my paper · ORCID

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We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.

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