REVIEW 8 cited by
Holographic multipartite entanglement from the upper bound of $n$-partite information
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
To analyze the holographic multipartite entanglement structure, we study the upper bound for holographic $n$-partite information $(-1)^n I_n$ that $n-1$ fixed boundary subregions participate together with an arbitrary region $E$. In general cases, we could find regions $E$ that make $I_n$ approach the upper bound. For $n=3$, we show that the upper bound of $-I_3$ is given by a quantity that we name the entanglement of state-constrained purification $EoSP(A:B)$. For $n\geq4$, we find that the upper bound of $I_n$ is finite in holographic CFT$_{1+1}$ but has UV divergences in higher dimensions, which reveals a fundamental difference in the entanglement structure in different dimensions. When $(-1)^n I_n$ reaches the information-theoretical upper bound, we argue that ( I_n ) fully accounts for multipartite global entanglement in these upper bound critical points, in contrast to usual cases where $I_n$ is not a perfect measure for multipartite entanglement. We further show that these results suggest that fewer-partite entanglement fully emerges from more-partite entanglement, and any $n-1$ distant regions are fully $n$-partite entangling in higher dimensions.
Forward citations
Cited by 8 Pith papers
-
Long-range multipartite entanglement in holographic gapless systems
All holographic multipartite entanglement quantities in gapless planar systems share a single large-distance scaling exponent fixed by the infrared geometry, ranging from decay to volume-law growth.
-
The Holographic Multi-Entropy Cone
Holographic multi-entropy vectors form a rational polyhedral cone; its n=3,4 facets yield seven fundamental multi-entropy inequality orbits, with ordinary HEC facets arising as convex combinations of HMEC facets.
-
More on the upper bound of holographic n-partite information
The upper bound of holographic conditional mutual information equals twice the entanglement of state-constrained purification and diverges in the many-interval limit, revealing abundant multipartite entanglement.
-
Holographic multipartite entanglement dynamics in AdS$_3$-Vaidya
During a holographic global quench, multipartite entanglement's spatial range first expands then contracts, with higher-party entanglement relaxing later, while some tripartite signals persist or return to vacuum values.
-
Combinatorial aspects of holographic quantum secret sharing
Bulk regions in AdS3/CFT2 get a holographic secret-sharing distance d and thresholds (r,s), with r = n - d + 1; pure states satisfy s = d - 1 while mixed states can satisfy s >= d.
-
Genuine multi-entropy and holography
A new 'genuine multi-entropy' separates true q-party entanglement from lower-party pieces, and holographic systems are shown to carry O(1/G_N) genuine multipartite entanglement for connected regions.
-
A New Genuine Multipartite Entanglement Measure: from Qubits to Multiboundary Wormholes
L-entropy is a proposed genuine multipartite entanglement measure, maximal for GHZ states and 2-uniform states, with applications to random states and multiboundary wormholes.
-
Multipartite entanglement characterizing topological phase transitions in holographic nodal line semimetals
Tripartite entanglement measures in holographic nodal line semimetals vanish at long distance but decay with phase-dependent power laws that jump at the quantum critical point.
Discussion (0). Continue with ORCID to comment.