# Towards a geometrical interpretation of quantum-information compression (6 pages)

@article{Mitchison2003TowardsAG, title={Towards a geometrical interpretation of quantum-information compression (6 pages)}, author={Graeme J. Mitchison and Richard Jozsa}, journal={Physical Review A}, year={2003}, volume={69}, pages={32304} }

Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E, this monotonicity property suggests a geometrical interpretation of the quantum redundancy involved in the compression process. It provides clarification of previous work in…

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