Symmetry resolved relative entropies and distances in conformal field theory

L Capizzi, P Calabrese - Journal of High Energy Physics, 2021 - Springer
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 …

Partial time-reversal transformation and entanglement negativity in fermionic systems

H Shapourian, K Shiozaki, S Ryu - Physical Review B, 2017 - APS
The partial transpose of density matrices in many-body quantum systems, in which one
takes the transpose only for a subsystem of the full Hilbert space, has been recognized as a …

Entanglement negativity spectrum of random mixed states: A diagrammatic approach

H Shapourian, S Liu, J Kudler-Flam, A Vishwanath - PRX Quantum, 2021 - APS
The entanglement properties of random pure states are relevant to a variety of problems
ranging from chaotic quantum dynamics to black-hole physics. The averaged bipartite …

Lectures on entanglement entropy in field theory and holography

M Headrick - arXiv preprint arXiv:1907.08126, 2019 - arxiv.org
These notes, based on lectures given at various schools over the last few years, aim to
provide an introduction to entanglement entropies in quantum field theories, including …

Rényi mutual information in quantum field theory

J Kudler-Flam - Physical Review Letters, 2023 - APS
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 …

Multi-charged moments of two intervals in conformal field theory

F Ares, P Calabrese, G Di Giulio, S Murciano - Journal of High Energy …, 2022 - Springer
A bstract We study the multi-charged moments for two disjoint intervals in the ground state of
two 1+ 1 dimensional CFTs with central charge c= 1 and global U (1) symmetry: the …

Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

E Tonni, J Rodriguez-Laguna… - Journal of Statistical …, 2018 - iopscience.iop.org
Inhomogeneous quantum critical systems in one spatial dimension have been studied by
using conformal field theory in static curved backgrounds. Two interesting examples are the …

Entanglement negativity of fermions: Monotonicity, separability criterion, and classification of few-mode states

H Shapourian, S Ryu - Physical Review A, 2019 - APS
We study quantum information aspects of the fermionic entanglement negativity recently
introduced [H. Shapourian, Phys. Rev. B 95, 165101 (2017) 10.1103/PhysRevB. 95.165101] …

Quantum vs. classical information: operator negativity as a probe of scrambling

J Kudler-Flam, M Nozaki, S Ryu, MT Tan - Journal of High Energy Physics, 2020 - Springer
A bstract We consider the logarithmic negativity and related quantities of time evolution
operators. We study free fermion, compact boson, and holographic conformal field theories …

Quantum information dynamics in multipartite integrable systems

V Alba, P Calabrese - Europhysics Letters, 2019 - iopscience.iop.org
In a non-equilibrium many-body system, the quantum information dynamics between non-
complementary regions is a crucial feature to understand the local relaxation towards …