@article{bibcite_15270,
  author = {Zbigniew Pucha{\l}a and {\L}ukasz Rudnicki and Aleksandra Krawiec and Karol {\.Z}yczkowski},
  title = {Majorization uncertainty relations for mixed quantum states},
  abstract = {<p>Majorization uncertainty relations are generalized for an arbitrary mixed quantum state <span style="font-size:129\%"><em>ρ</em></span> of a finite size <span style="font-size:129\%"><em>N</em></span>. In particular, a lower bound for the sum of two entropies characterizing probability distributions corresponding to measurements with respect to arbitrary two orthogonal bases is derived in terms of the spectrum of <span style="font-size:129\%"><em>ρ</em></span> and the entries of a unitary matrix <span style="font-size:129\%"><em>U</em></span> relating both bases. The obtained results can also be formulated for two measurements performed on a single subsystem of a bipartite system described by a pure state, and consequently expressed as uncertainty relation for the sum of conditional entropies.</p>
},
  year = {2018},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  volume = {51},
  chapter = {175306},
  url = {https://doi.org/10.1088/1751-8121/aab66c},
  doi = {10.1088/1751-8121/aab66c},
  language = {eng},
}