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arXiv · 1706.10259

Hilbert isometries and maximal deviation preserving maps on JB-algebras

Mark Roelands·Marten Wortel
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Abstract

In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation, the quantum analogue of the standard deviation, which plays an important role in quantum statistics. Consequently, we characterize the Hilbert's metric isometries on cones in JB-algebras.

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Mark Roelands, Marten Wortel. 2019-06-20. Hilbert isometries and maximal deviation preserving maps on JB-algebras. https://arxiv.org/abs/1706.10259

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