Generalized Bloch Spheres for m-Qubit States

Abstract

m-Qubit states are imbedded in ${\mathfrak{Cl}}_{2^m}$ Clifford algebras. Their probability spectra then depend on $O(2m)$ or $O(2m+1)$ invariants. Parameter domains for $O(2m(+1))-$ vector and tensor configurations, generalizing the notion of a Bloch sphere, are derived.

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