Equality, Revisited

P. L. Chapovsky, Alexander A. Mamrashev

Conversion of water nuclear-spin isomers by the quantum relaxation phenomenon is revisited and the high stability of water isomers is predicted. As an example, the isomer lifetime is found equal to 18 hours at room temperature and the water vapor pressure equal to $\ensuremath{\simeq}5$ torr. Our calculations correct the prediction of rather short lifetime of water spin isomers, $\ensuremath{\approx}1$ s, made by Cacciani et al. [Phys. Rev. A 85, 012521 (2012)].

Noriaki Horiuchi

Maximilian Prüfer

Abhishek Dhar, Aritra Kundu, Keiji Saito

Jinzhao Wang, Henrik Wilming

We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].

Detlef Dürr, Stefan Teufel