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Rényi entropy uncertainty relation for successive projective measurements
arXiv
Authors: Jun Zhang, Yang Zhang, Chang-shui Yu
Year
2014
Paper ID
46238
Status
Preprint
Abstract Read
~2 min
Abstract Words
79
Citations
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Abstract
We investigate the uncertainty principle for two successive projective measurements in terms of Rényi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty relations with a lower optimal bound. We compare our relation with other formulations of the uncertainty principle in a two-spin observables measured on a pure quantum state of qubit. It is shown that the low bound of our uncertainty relation has better tightness.
Why This Paper Matters
- It adds a 2014 reference point for readers tracking recent quantum research.
- We investigate the uncertainty principle for two successive projective measurements in terms of Rényi entropy based on a single quantum system.
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