6533b7dafe1ef96bd126ebe2

RESEARCH PRODUCT

Generalized Bloch spheres form-qubit states

Klaus Dietz

subject

PhysicsQuantum PhysicsBloch sphereClifford algebraFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsSpectral lineComputer Science::Emerging TechnologiesQubitSPHERESTensorQuantum Physics (quant-ph)Mathematical PhysicsMathematical physics

description

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.

https://doi.org/10.1088/0305-4470/39/6/016