Majorization uncertainty relations for mixed quantum states
| Autor: | Puchała, Zbigniew, Rudnicki, Łukasz, Krawiec, Aleksandra, Życzkowski, Karol |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 51 175306 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/aab66c |
| Popis: | Majorization uncertainty relations are generalized for an arbitrary mixed quantum state $\rho$ 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 $\rho$ 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. Comment: 13 pages, 7 figures |
| Databáze: | arXiv |
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