An optimal entropic uncertainty relation in a two-dimensional Hilbert space
Abstract
We derive an optimal entropic uncertainty relation for an arbitrary pair of observables in a two-dimensional Hilbert space. Such a result, for the simple case we are considering, definitively improves all the entropic uncertainty relations which have appeared in the literature.
- Publication:
-
Physics Letters A
- Pub Date:
- October 2003
- DOI:
- 10.1016/j.physleta.2003.08.029
- arXiv:
- arXiv:quant-ph/0310120
- Bibcode:
- 2003PhLA..317...32G
- Keywords:
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- Entropy;
- Uncertainty relation;
- Complementary observables;
- Quantum Physics
- E-Print:
- 7 pages, Latex, 2 figures