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Some operator monotone functions

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
430
Identifiers
DOI: 10.1016/j.laa.2008.09.028
Keywords
  • Operator Monotone Function
  • Morozova–Chentsov Function
Disciplines
  • Physics

Abstract

Abstract We prove that the functions t → ( t q - 1 ) ( t p - 1 ) - 1 are operator monotone in the positive half-axis for 0 < p ⩽ q ⩽ 1 , and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.

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