Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
| dc.creator | Ballester, Manuel A. | |
| dc.creator | Wehner, Stephanie | |
| dc.date | 2006-06-29 | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T07:52:57Z | |
| dc.date.available | 2026-07-07T07:52:57Z | |
| dc.description | We prove tight entropic uncertainty relations for a large number of mutually unbiased measurements. In particular, we show that a bound derived from the result by Maassen and Uffink for 2 such measurements can in fact be tight for up to sqrt{d} measurements in mutually unbiased bases. We then show that using more mutually unbiased bases does not always lead to a better locking effect. We prove that the optimal bound for the accessible information using up to sqrt{d} specific mutually unbiased bases is log d/2, which is the same as can be achieved by using only two bases. Our result indicates that merely using mutually unbiased bases is not sufficient to achieve a strong locking effect, and we need to look for additional properties. | |
| dc.description | 9 pages, RevTeX, v3: complete rewrite, new title, many new results, v4: minor changes, published version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0606244 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0606244 | |
| dc.identifier | Phys. Rev. A 75, 022319 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.75.022319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126069 | |
| dc.subject | Quantum Physics | |
| dc.title | Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases | |
| dc.type | text |