Cantürk, Bilal and Gedik, Zafer (2021) Optimal upper bound of entropic uncertainty relation for mutually unbiased bases. Physica A: Statistical Mechanics and Its Applications, 582 . ISSN 0378-4371
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Official URL: http://dx.doi.org/10.1016/j.physa.2021.126275
Abstract
We have obtained the optimal upper bound of entropic uncertainty relation for N Mutually Unbiased Bases (MUBs). We have used the methods of variational calculus for the states that can be written in terms of N MUBs. Our result is valid for any state when N is d+1, where d is the dimension of the related system. We provide a quantitative criterion for the extendibility of MUBs based on entropic certainty relation. In addition, we have applied our result to information exclusion relation of (d+1) observables conditioned with a classical memory which can be used to detect the compatibility of the observables.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | mutually unbiased bases, entropic uncertainty relation, variational calculus, mutually coherent states, entendibility of mutually unbiased bases |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Physics Faculty of Engineering and Natural Sciences |
| Depositing User: | Zafer Gedik |
| Date Deposited: | 01 Sep 2021 02:05 |
| Last Modified: | 01 Sep 2022 12:48 |
| URI: | https://research.sabanciuniv.edu/id/eprint/41843 |
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Optimal upper bound of entropic uncertainty relation for mutually unbiased bases. (deposited 23 Sep 2020 18:10)
- Optimal upper bound of entropic uncertainty relation for mutually unbiased bases. (deposited 01 Sep 2021 02:05) [Currently Displayed]
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