Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy

10/19/2022
by   Michael Aizenman, et al.
0

The familiar second derivative test for convexity is shown to yield a useful tool also in the context of matrix-valued functions. We demonstrate its applicability on a number of theorems in this field. These include convexity principles which play an essential role in the Lieb-Ruskai proof of the strong subadditivity of quantum entropy.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset