Holographic entropy inequalities and multipartite entanglement
S Hernández-Cuenca, VE Hubeny, HF Jia - Journal of High Energy …, 2024 - Springer
A bstract We study holographic entropy inequalities and their structural properties by making
use of a judicious grouping of terms into certain multipartite information quantities. This …
use of a judicious grouping of terms into certain multipartite information quantities. This …
Gap between holographic and quantum mechanical extreme rays of the subadditivity cone
We show via explicit construction that for six or more parties, there exist extreme rays of the
subadditivity cone that can be realized by quantum states, but not by holographic states …
subadditivity cone that can be realized by quantum states, but not by holographic states …
Symmetrized holographic entropy cone
M Fadel, S Hernández-Cuenca - Physical Review D, 2022 - APS
The holographic entropy cone (HEC) characterizes the entanglement structure of quantum
states which admit geometric bulk duals in holography. Due to its intrinsic complexity, to date …
states which admit geometric bulk duals in holography. Due to its intrinsic complexity, to date …
Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings
We show via explicit construction that all the extreme rays of both the three-party quantum
entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem …
entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem …
The quantum entropy cone of hypergraphs
In this work, we generalize the graph-theoretic techniques used for the holographic entropy
cone to study hypergraphs and their analogously-defined entropy cone. This allows us to …
cone to study hypergraphs and their analogously-defined entropy cone. This allows us to …
On the relation between the subadditivity cone and the quantum entropy cone
A bstract Given a multipartite quantum system, what are the possible ways to impose mutual
independence among some subsystems, and the presence of correlations among others …
independence among some subsystems, and the presence of correlations among others …
Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the solution
We compute the set of all extreme rays of the 6-party subadditivity cone that are compatible
with strong subadditivity. In total, we identify 208 new (genuine 6-party) orbits, 52 of which …
with strong subadditivity. In total, we identify 208 new (genuine 6-party) orbits, 52 of which …
On the foundations and extremal structure of the holographic entropy cone
D Avis, S Hernández-Cuenca - Discrete Applied Mathematics, 2023 - Elsevier
The holographic entropy cone (HEC) is a polyhedral cone first introduced in the study of a
class of quantum entropy inequalities. It admits a graph-theoretic description in terms of …
class of quantum entropy inequalities. It admits a graph-theoretic description in terms of …
Correlation hypergraph: a new representation of a quantum marginal independence pattern
VE Hubeny, M Rota - arXiv preprint arXiv:2412.18018, 2024 - arxiv.org
We continue the study of the quantum marginal independence problem, namely the
question of which faces of the subadditivity cone are achievable by quantum states. We …
question of which faces of the subadditivity cone are achievable by quantum states. We …
Properties of the contraction map for holographic entanglement entropy inequalities
A bstract We present a deterministic way of finding contraction maps for candidate
holographic entanglement entropy inequalities modulo choices due to actual degeneracy …
holographic entanglement entropy inequalities modulo choices due to actual degeneracy …