Multi-Bloch Vector Representation of the Qutrit

Understand

An ability to describe quantum states directly by average values of measurement outcomes is provided by the Bloch vector.

• For an informationally complete set of measurements one can construct unique Bloch vector for any quantum state.
• However, not every Bloch vector corresponds to a quantum state.
• It seems that only for two dimensional quantum systems it is easy to distinguish proper Bloch vectors from improper ones, i.e.