@article{bibcite_14957,
  author = {Zbigniew Pucha{\l}a and {\L}. Rudnicki and K. Chabuda and M. Paraniak and Karol {\.Z}yczkowski},
  title = {Certainty relations, mutual entanglement and non-displacable manifolds},
  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>
},
  year = {2015},
  journal = {Phys. Rev. A},
  volume = {92},
  pages = {032109},
  url = {https://doi.org/10.1103/PhysRevA.92.032109},
  doi = {10.1103/PhysRevA.92.032109},
  language = {eng},
}