Holevo information is an upper bound for the accessible classical information of an ensemble of quantum states. In this work, we use Holevo information to investigate the ensemble theory interpretation of quantum gravity. We study the Holevo information in random tensor network states, where the random parameters are the random tensors at each vertex. Based on the results in random tensor network models, we propose a conjecture on the holographic bulk formula of the Holevo information in the gravity case. As concrete examples of holographic systems, we compute the Holevo information in the ensemble of thermal states and thermo-field double states in the Sachdev-Ye-Kitaev model. The results are consistent with our conjecture.

Prof. Xiaoliang Qi  Stanford University

Honors and Awards

2018 Simons Investigator

2016 New Horizons Prize in Fundamental Physics

2014 Sackler International Price in Physics

2012 NSF CAREER Award, National Science Foundation (NSF)

2011 Packard Fellowship for Science and Engineering

2011 Hermann K¨ummel Early Achievement Award in Many-Body

Physics

2010 Sloan Research Fellowship

2010 Outstanding Young Researcher Award (OYRA) of the Overseas

Chinese Physics Association (OCPA)