We report a throughout analysis of the entanglement entropies related to different symmetry
sectors in the low-lying primary excited states of a conformal field theory (CFT) with an …

A bstract We develop a systematic approach to compute the subsystem trace distances and
relative entropies for subsystem reduced density matrices associated to excited states in …

Estimating the difference between quantum data is crucial in quantum computing. However,
as typical characterizations of quantum data similarity, the trace distance and quantum …

A bstract We consider the symmetry resolution of relative entropies in the 1+ 1 dimensional
free massless compact boson conformal field theory (CFT) which presents an internal U (1) …

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 …

In this work, we study the distinguishability of random states drawn from the Wishart
ensemble as well as black hole microstates. We compute the relative entropy and many …

A bstract We introduce and study generalized Rényi entropies defined through the traces of
products of Tr B (| Ψ i⟩⟨ Ψ j|) where∣ Ψ i⟩ are eigenstates of a two-dimensional conformal …

We present a new method of deriving shapes of entanglement wedges directly from
conformal field theory (CFT) calculations. We point out that a reduced density matrix in …

We study general entanglement properties of the excited states of the one-dimensional
translational invariant free fermions and coupled harmonic oscillators. In particular, using the …

Measuring the distinguishability between quantum states is a basic problem in quantum
information theory. In this paper, we develop optimal quantum algorithms that estimate both …