Certainty relations, mutual entanglement and non-displacable manifolds [1]
Tytuł | Certainty relations, mutual entanglement and non-displacable manifolds |
Publication Type | Journal Article |
Rok publikacji | 2015 |
Autorzy | Puchała Z [2], Rudnicki Ł. [3], Chabuda K. [4], Paraniak M. [5], Życzkowski K [6] |
Journal | Phys. Rev. A |
Volume | 92 |
Abstract | {We derive explicit bounds for the average entropy characterizing measurements of a pure quantum state of size N in L orthogonal bases. Lower bounds lead to novel entropic uncertainty relations, while upper bounds allow us to formulate universal certainty relations. For L=2 the maximal average entropy saturates at logN as there exists a mutually coherent state, but certainty relations are shown to be nontrivial for L≥3 measurements. In the case of a prime power dimension |
URL | https://doi.org/10.1103/PhysRevA.92.032109 [7] |
DOI | 10.1103/PhysRevA.92.032109 [8] |