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The shape of higher-dimensional state space: Bloch-ball analog for a qutrit

Eltschka, Christopher ; Huber, Marcus ; Morelli, Simon ; Siewert, Jens



Abstract

Geometric intuition is a crucial tool to obtain deeper insight into many concepts of physics. A paradigmatic example of its power is the Bloch ball, the geometrical representation for the state space of the simplest possible quantum system, a two-level system (or qubit). However, already for a three-level system (qutrit) the state space has eight dimensions, so that its complexity exceeds the ...

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