TY - JOUR
T1 - Some operator monotone functions
AU - Hansen, Frank
PY - 2009/1/15
Y1 - 2009/1/15
N2 - We prove that the functions t → (tq - 1) (tp - 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.
AB - We prove that the functions t → (tq - 1) (tp - 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.
KW - Morozova-Chentsov function
KW - Operator monotone function
UR - http://www.scopus.com/inward/record.url?scp=55549131875&partnerID=8YFLogxK
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U2 - 10.1016/j.laa.2008.09.028
DO - 10.1016/j.laa.2008.09.028
M3 - Article
AN - SCOPUS:55549131875
VL - 430
SP - 795
EP - 799
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
IS - 2-3
ER -