Snowmass white paper: Quantum information in quantum field theory and quantum gravity

T Faulkner, T Hartman, M Headrick… - arxiv preprint arxiv …, 2022 - arxiv.org
We present a summary of recent progress and remaining challenges in applying the
methods and ideas of quantum information theory to the study of quantum field theory and …

De Sitter space and entanglement

C Arias, F Diaz, P Sundell - Classical and Quantum Gravity, 2019 - iopscience.iop.org
We argue that the notion of entanglement in de Sitter space arises naturally from the non-
trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected …

Multipartite entanglement in stabilizer tensor networks

S Nezami, M Walter - Physical Review Letters, 2020 - APS
Despite the fundamental importance of quantum entanglement in many-body systems, our
understanding is mostly limited to bipartite situations. Indeed, even defining appropriate …

Multi-boundary entanglement in Chern-Simons theory and link invariants

V Balasubramanian, JR Fliss, RG Leigh… - Journal of High Energy …, 2017 - Springer
A bstract We consider Chern-Simons theory for gauge group G at level k on 3-manifolds M n
with boundary consisting of n topologically linked tori. The Euclidean path integral on M n …

Entanglement entropy and the colored Jones polynomial

V Balasubramanian, M DeCross, J Fliss, A Kar… - Journal of High Energy …, 2018 - Springer
A bstract We study the multi-party entanglement structure of states in Chern-Simons theory
created by performing the path integral on 3-manifolds with linked torus boundaries, called …

Entanglement classification from a topological perspective

D Melnikov - Physical Review D, 2023 - APS
Classification of entanglement is an important problem in quantum resource theory. In this
paper we discuss an embedding of this problem in the context of topological quantum field …

From topological to quantum entanglement

D Melnikov, A Mironov, S Mironov, A Morozov… - Journal of High Energy …, 2019 - Springer
A bstract Entanglement is a special feature of the quantum world that reflects the existence
of subtle, often non-local, correlations between local degrees of freedom. In topological …

Circuit complexity in topological quantum field theory

J Couch, Y Fan, S Shashi - Fortschritte der Physik, 2022 - Wiley Online Library
Quantum circuit complexity has played a central role in recent advances in holography and
many‐body physics. Within quantum field theory, it has typically been studied in a …

A non-rational Verlinde formula from Virasoro TQFT

B Post, I Tsiares - arxiv preprint arxiv:2411.07285, 2024 - arxiv.org
We use the Virasoro TQFT to derive an integral identity that we view as a non-rational
generalization of the Verlinde formula for the Virasoro algebra with central charge $ c\geq …

Connectomes and properties of quantum entanglement

D Melnikov - Journal of High Energy Physics, 2023 - Springer
A bstract Topological quantum field theories (TQFT) encode properties of quantum states in
the topological features of abstract manifolds. One can use the topological avatars of …