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Quantum algorithms for matrix geometric means

Nana Liu, Qisheng Wang, Mark M. Wilde, Zhicheng Zhang • npj Quantum Information (2025)

Abstract Matrix geometric means between two positive definite matrices can be defined from distinct perspectives—as solutions to certain nonlinear systems of equations, as points along geodesics in Riemannian geometry, and as solutions to c...

DOAJ Open Access (DOAJ) DOI: 10.1038/s41534-025-00973-7