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arXiv · 1309.4635

Defining quantumness via the Jordan product

Paolo Facchi·Leonardo Ferro·Giuseppe Marmo·Saverio Pascazio
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Abstract

We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system. A central role will be assumed by the anticommutator of the observables, namely the Jordan product. This approach turns out to be suitable for generalizations to infinite dimensional systems. We then show that the whole algebra of observables can be generated by three elements by repeated application of the Jordan product.

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Paolo Facchi, Leonardo Ferro, Giuseppe Marmo, Saverio Pascazio. 2013-09-18. Defining quantumness via the Jordan product. https://doi.org/10.1088/1751-8113/47/3/035301

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