Certainty relations, mutual entanglement and non-displacable manifolds
| Author | Puchała Z.; Rudnicki Ł.; Chabuda K.; Paraniak M.; Życzkowski K. |
|---|---|
| Title | Certainty relations, mutual entanglement and non-displacable manifolds |
| Journal | Phys. Rev. A |
| Year | 2015 |
| Status | Published |
| Volume | 92 |
| Pages | 032109 |
| DOI | 10.1103/PhysRevA.92.032109 |
| URL | https://doi.org/10.1103/PhysRevA.92.032109 |
| Abstract | <p>{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</p> |