Inequalities for quantum skew information
Research output: Contribution to journal › Journal article › Research › peer-review
We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations.
Original language | English |
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Journal | Letters in Mathematical Physics |
Volume | 85 |
Issue number | 2-3 |
Pages (from-to) | 135-146 |
Number of pages | 12 |
ISSN | 0377-9017 |
DOIs | |
Publication status | Published - 2008 |
ID: 6380739