Majorization uncertainty relations for mixed quantum states [1]
Tytuł | Majorization uncertainty relations for mixed quantum states |
Publication Type | Journal Article |
Rok publikacji | 2018 |
Autorzy | Puchała Z [2], Rudnicki Ł [3], Krawiec A [4], Życzkowski K [5] |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 51 |
Issue | 17 |
Start Page | 175306 |
Abstract | Majorization uncertainty relations are generalized for an arbitrary mixed quantum state ρ of a finite size N. 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 ρ and the entries of a unitary matrix U 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. |
URL | https://doi.org/10.1088/1751-8121/aab66c [6] |
DOI | 10.1088/1751-8121/aab66c [7] |