Toward random tensor networks and holographic codes in CFT

J Chandra, T Hartman - Journal of High Energy Physics, 2023 - Springer
A bstract In holographic CFTs satisfying eigenstate thermalization, there is a regime where
the operator product expansion can be approximated by a random tensor network. The …

Reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution

C Berthiere, G Parez - Physical Review D, 2023 - APS
We investigate a separability criterion based on the computable cross-norm (CCNR), and a
related quantity called the CCNR negativity. We introduce a reflected version of the CCNR …

Entanglement negativity and replica symmetry breaking in general holographic states

X Dong, J Kudler-Flam, P Rath - Journal of High Energy Physics, 2025 - Springer
A bstract The entanglement negativity\(\mathcal {E}\)(A: B) is a useful measure of quantum
entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related …

Symmetry resolution of the computable cross-norm negativity of two disjoint intervals in the massless Dirac field theory

A Bruno, F Ares, S Murciano, P Calabrese - Journal of High Energy …, 2024 - Springer
A bstract We investigate how entanglement in the mixed state of a quantum field theory can
be described using the cross-computable norm or realignment (CCNR) criterion, employing …

Universal entanglement and correlation measure in two-dimensional conformal field theories

C Yin, Z Liu - Physical Review Letters, 2023 - APS
We calculate the amount of entanglement shared by two intervals in the ground state of a
(1+ 1)-dimensional conformal field theory (CFT), quantified by an entanglement measure E …

Reflected entropy and Markov gap in Lifshitz theories

C Berthiere, B Chen, H Chen - Journal of High Energy Physics, 2023 - Springer
A bstract We study the reflected entropy in (1+ 1)-dimensional Lifshitz field theory whose
groundstate is described by a quantum mechanical model. Starting from tripartite Lifshitz …

Mixed-state entanglement measures in topological order

C Yin, S Liu - Physical Review B, 2023 - APS
Quantum entanglement is a particularly useful characterization of topological orders which
lack conventional order parameters. In this work, we study the entanglement in topologically …

Reflected entropy in random tensor networks III: triway cuts

C Akers, T Faulkner, S Lin, P Rath - arXiv preprint arXiv:2409.17218, 2024 - arxiv.org
For general random tensor network states at large bond dimension, we prove that the
integer R\'enyi reflected entropies (away from phase transitions) are determined by minimal …

Reflected entropy in random tensor networks. Part III. Triway cuts

C Akers, T Faulkner, S Lin, P Rath - Journal of High Energy Physics, 2024 - Springer
A bstract For general random tensor network states at large bond dimension, we prove that
the integer Rényi reflected entropies (away from phase transitions) are determined by …

On canonical purification of random tensor networks

S Lin - 2023 - ideals.illinois.edu
Understanding the entanglement structure of holographic states has played a significant role
in demystifying quantum gravity and the emergence of spacetime. The state of the art …