Abstract:
We present an alternative interpretation of the notion of invariant
information by establishing that it is directly related to the total ordinary
variance of a quantum state. Here, "total" means summing the variance over
any complete orthogonal set of observables or, equivalently, averaging over
a certain sufficiently general ensemble of the observables. This simple,
intuitive substratum of the Brukner–Zeilinger invariant information sheds
further light on the informational and statistical nature of quantum
measurements.
Keywords:invariant information, quantum measurement, total variance, renormalization.
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