Quantum information in base n defined by state partitions

We define a “nit” as a radix n measure of quantum information which is based on state partitions associated with the outcomes of n-ary observables and which, for $n>\mathrm{}2,$ is fundamentally irreducible to a binary coding. Properties of this measure for entangled many-particle states are discussed. k particles specify k nits in such a way that k mutually commuting measurements of observables with n possible outcomes are sufficient to determine the information.