Quantum Information via State Partitions and the Context Transition Principle

Abstract

For many–particle systems, quantum information in base n can be defined by partitioning the set of states according to the outcomes of n–ary (joint) observables. Thereby, k particles can carry k nits. With regards to the randomness of single outcomes, a context translation principle is proposed. Quantum randomness is related to the uncontrollable degrees of freedom of the measurement interface, thereby translating a mismatch between the state prepared and the state measured.