Snowmass white paper: Quantum information in quantum field theory and quantum gravity
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 …
methods and ideas of quantum information theory to the study of quantum field theory and …
De Sitter space and entanglement
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 …
trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected …
Multipartite entanglement in stabilizer tensor networks
Despite the fundamental importance of quantum entanglement in many-body systems, our
understanding is mostly limited to bipartite situations. Indeed, even defining appropriate …
understanding is mostly limited to bipartite situations. Indeed, even defining appropriate …
Multi-boundary entanglement in Chern-Simons theory and link invariants
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 …
with boundary consisting of n topologically linked tori. The Euclidean path integral on M n …
Entanglement entropy and the colored Jones polynomial
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 …
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 …
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 …
of subtle, often non-local, correlations between local degrees of freedom. In topological …
Circuit complexity in topological quantum field theory
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 …
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 …
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 …
the topological features of abstract manifolds. One can use the topological avatars of …