We give a pedagogical review of how concepts from quantum information theory build up
the gravitational side of the anti-de Sitter/conformal field theory correspondence. The review …

We develop a geometric approach to operator growth and Krylov complexity in many-body
quantum systems governed by symmetries. We start by showing a direct link between a …

The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

A bstract We investigate and characterize the dynamics of operator growth in irrational two-
dimensional conformal field theories. By employing the oscillator realization of the Virasoro …

A bstract Since the work of Ryu and Takayanagi, deep connections between quantum
entanglement and spacetime geometry have been revealed. The negative eigenvalues of …

We study a proper definition of Rényi mutual information (RMI) in quantum field theory as
defined via the Petz Rényi relative entropy. Unlike the standard definition, the RMI we …

We study the late-time behaviors of pseudo-(Rényi) entropy of locally excited states in
rational conformal field theories. To construct the transition matrix, we utilize two …

We study various quantum quench processes induced by the Möbius/sine-square
deformation of the Hamiltonian in two-dimensional conformal field theories starting from the …

By explicit counterexample, we show that the “reflected entropy” defined by Dutta and
Faulkner is not monotonically decreasing under partial trace, and so is not a measure of …

A bstract We continue our study of reflected entropy, R (A, B), for Gaussian systems. In this
paper we provide general formulas valid for free scalar fields in arbitrary dimensions …