We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system. A central role is 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.
Defining quantumness via the Jordan product
FACCHI, PAOLO;PASCAZIO, Saverio
2014-01-01
Abstract
We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system. A central role is 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.File in questo prodotto:
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