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.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call