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Quantum Algorithms
Refinement of Robertson-type uncertainty principles with geometric interpretation
arXiv
Authors: Attila Lovas, Attila Andai
Year
2013
Paper ID
31828
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
Abstract
A generalisation of the classical covariance for quantum mechanical observables has previously been presented by Gibilisco, Hiai and Petz. Gibilisco and Isola has proved that the usual quantum covariance gives the sharpest inequalities for the determinants of covariance matrices. We introduce a new generalisation of the classical covariance which gives better inequalities than the classical one furthermore it has a direct geometric interpretation.
Why This Paper Matters
- It adds a 2013 reference point for readers tracking recent quantum research.
- A generalisation of the classical covariance for quantum mechanical observables has previously been presented by Gibilisco, Hiai and Petz.
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