D. C. Brody, L. P. Hughston
Published 1999-06-23Version 1
A method of representing probabilistic aspects of quantum systems is introduced by means of a density function on the space of pure quantum states. In particular, a maximum entropy argument allows us to obtain a natural density function that only reflects the information provided by the density matrix. This result is applied to derive the Shannon entropy of a quantum state. The information theoretic quantum entropy thereby obtained is shown to have the desired concavity property, and to differ from the the conventional von Neumann entropy. This is illustrated explicitly for a two-state system.
Comments: RevTex file, 4 pages, 1 fig
Journal: J.Math.Phys. 41 (2000) 2586-2592
Tensor rank and entanglement of pure quantum states
Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference
Information content of interacting fields in an expanding spacetime
