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Quantum Algorithms
Defining quantumness via the Jordan product
arXiv
Authors: Paolo Facchi, Leonardo Ferro, Giuseppe Marmo, Saverio Pascazio
Year
2013
Paper ID
32651
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
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.
Why This Paper Matters
- It adds a 2013 reference point for readers tracking recent quantum research.
- We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system.
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