Generalizations of reflected entropy and the holographic dual
Jinwei Chu (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China); Runze Qi (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China); Yang Zhou (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China)
We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity duals, we show that the holographic duals of these new measures are various types of minimal surfaces consist of different entanglement wedge cross sections. One special generalized reflected entropy is ∆ R , with the holographic dual proportional to the so called multipartite entanglement wedge cross section ∆ W defined before. We then perform a large c computation of ∆ R and find evidence to support ∆ R = 2∆ W . This shows another candidate ∆ R as the dual of 2∆ W and also supports our holographic conjecture of the new class of generalized reflected entropies.
