Paper Citation Record · LEDGER

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 3 inbound Pith citation observations for arXiv:2507.11458.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.11458 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:17:31.057162Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:17:28.762648Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-21T23:20:45.180487Z

Reference resolution

37 of 37 outbound references displayed

verified exact0
verified fuzzy20
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c6a631d-8e09-4f22-af95-6ab004f4d916 · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:35.740502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95697694-3b3d-4679-9067-fb3b7b64ac73 · outbound

This paper cites Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:28.762648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd22c40e-5b5c-4355-9525-016904732743 · outbound

This paper cites (either clock- wise or anticlockwise) to get an ordered structure of qubits, and then take the midpoints of all the possible edges joining two qubits.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix (either clock- wise or anticlockwise) to get an ordered structure of qubits, and then take the midpoints of all the possible edges joining two qubits

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:35.604944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3ea79e0-03d6-4847-9a7c-f22eaf026021 · outbound

This paper cites This be- gins with 1′, denoting the midpoint between qubits 1 and 2, and continues progressively as 2′, 3′,.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix This be- gins with 1′, denoting the midpoint between qubits 1 and 2, and continues progressively as 2′, 3′,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:35.441084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d78ec14d-23ec-4ca7-9628-9066eeced9d7 · outbound

This paper cites En- tanglement matrix is a n × n square symmetric ma- trix, where n is the total number of midpoints in a given graph.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix En- tanglement matrix is a n × n square symmetric ma- trix, where n is the total number of midpoints in a given graph

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:35.283832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d37eb755-854c-47dd-9ba3-297720b0f197 · outbound

This paper cites For example, {1’1’} will give us the entanglement of the edge joining 1 and 2.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix For example, {1’1’} will give us the entanglement of the edge joining 1 and 2

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:35.145640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8d2496ef-960a-41a0-93a2-ad7de4102fcd · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:35.011012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f4c628cc-fd82-4f66-be7b-4065086c5929 · outbound

This paper cites Whereas Secondary midpoints can only contribute to the diagonal entries.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Whereas Secondary midpoints can only contribute to the diagonal entries

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:34.842342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b4f47f0d-0b5f-41a1-9c94-f4b3d41b26ca · outbound

This paper cites So, all the entries of this submatrix of the entanglement matrix of any graph of N Qubits ( N = Odd) will be log 2 (Considering von-Neumann Entropy).

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix So, all the entries of this submatrix of the entanglement matrix of any graph of N Qubits ( N = Odd) will be log 2 (Considering von-Neumann Entropy)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:34.695051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5c6aad05-05f7-465d-9256-bc018ec58426 · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:34.560954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ede99106-34eb-44d6-91b2-627956371d1c · outbound

This paper cites We also have a central midpoint of degree N.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix We also have a central midpoint of degree N

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:34.443852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1584aed3-b479-4ae6-b32f-21cc7b653f93 · outbound

This paper cites As we know from the properties of Ceiling and Floor Functions, that, ⌈x⌉ = ⌊x⌋ = x if x is an integer.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix As we know from the properties of Ceiling and Floor Functions, that, ⌈x⌉ = ⌊x⌋ = x if x is an integer

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:34.316886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 125e418b-c174-4674-9085-2b2a362f44ab · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:34.163107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 03ce32a6-bcca-40cf-ad70-f59251cee0f2 · outbound

This paper cites maximum entangled class.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix maximum entangled class

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:33.952532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 091e405c-5351-40a3-8b68-c113a274cd62 · outbound

This paper cites Eisert and H.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Eisert and H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:33.864994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e8ec59f5-b2de-4b61-b336-233777471bae · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:33.696827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 91811266-b9c3-4e20-a53e-4368d71548ff · outbound

This paper cites Jozsa and N.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Jozsa and N

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:33.556711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a725e82-f204-4a73-b8aa-a2549e54fe8b · outbound

This paper cites Graph state,.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Graph state,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:33.393077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bbe0d0d6-4284-4b92-a5d9-793a9a6de13d · outbound

This paper cites Vesperini and R.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Vesperini and R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:33.186753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 655d6f16-7323-4d75-950f-725b740e26a1 · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:33.055139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 842ea2a8-c1ea-4c7f-b4b0-d2738280cb25 · outbound

This paper cites Raussendorf and H.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Raussendorf and H

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.121515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d5cda46-da76-4ecb-b9ce-3f472a97b7dc · outbound

This paper cites Van den Nest, J.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Van den Nest, J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.196099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5eb4390-0420-417e-90a7-3600ad05a5ae · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:32.908960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d03289a7-4526-4adc-96dc-b53d0f4402fa · outbound

This paper cites Ryj´ aˇ cek,ˇCasopis pro pˇ estov´ an ´ ı matematiky112, 390 (1987).

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Ryj´ aˇ cek,ˇCasopis pro pˇ estov´ an ´ ı matematiky112, 390 (1987)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:32.765786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a77fdc77-c242-422d-814f-14ec6ea983c3 · outbound

This paper cites Graph Isomorphism in Quasipolynomial Time.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Graph Isomorphism in Quasipolynomial Time

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.489091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa0ba355-dbd0-4015-a02b-acc3af486fe7 · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:32.639944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d0cfaac-0920-4b04-967a-b742c5a4fec8 · outbound

This paper cites Entanglement in Graph States and its Applications.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Entanglement in Graph States and its Applications

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.565612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b19184d1-2623-49db-ba87-54c6584128bb · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:32.475928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 410ef983-c6e5-4084-a8cc-d652b5055e5a · outbound

This paper cites an unresolved cited work.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:17:32.353615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f27287e9-2b5d-40a8-a3cb-95fe0728dfd5 · outbound

This paper cites D¨ ur, G.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix D¨ ur, G

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.726311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d090f9d6-2c01-4796-a5b0-121eb00fb87f · outbound

This paper cites G¨ uhne, G.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix G¨ uhne, G

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:32.168981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0287b08d-514e-4250-8296-5762dc1c1d29 · outbound

This paper cites G¨ uhneet al.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix G¨ uhneet al

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:32.011209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b8238218-b614-4991-a274-cd515de9224f · outbound

This paper cites von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1955).

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1955)

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:31.820444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4312695a-02e1-461a-8ac1-7262b5c390b3 · outbound

This paper cites R´ enyi, Proc.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix R´ enyi, Proc

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:31.693440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cbbfb93d-f813-490f-bf1e-b9ab252cc9b6 · outbound

This paper cites Tsallis, Journal of Statistical Physics 52, 479 (1988).

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Tsallis, Journal of Statistical Physics 52, 479 (1988)

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T17:17:30.920103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c868543c-87d1-4959-bbf0-f799243cb0f1 · outbound

This paper cites Schlingemann and R.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Schlingemann and R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:31.507445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4a079c4c-d219-43bd-b08d-21ab07d87528 · outbound

This paper cites Markham and B.

Entanglement Classification in the Graph States: The generalization to $n$-Qubits States using the Entanglement Matrix Markham and B

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:17:31.332518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 95697694-3b3d-4679-9067-fb3b7b64ac73 · inbound