Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:14:46.248429Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 3 inbound Pith citation observations for arXiv:2507.19018.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:14:46.248429Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T23:59:57.664230Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-21T23:20:45.211379Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 71dfb5e8-fd37-4941-9b87-bbcf56243fd6 · outbound
Approximate k-uniform states: definition, construction and applications We can calculate the Haar average of this function: 7 FIG
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 742592c7-1190-49b7-990f-361d300a5da7 · outbound
Approximate k-uniform states: definition, construction and applications asymptotically greater or equal to
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 03e56bbf-b6d4-4ead-b916-2af313c24aa1 · outbound
Approximate k-uniform states: definition, construction and applications Select the subsystem size|A| =k, so dA =dk and dB =dn−k, we can prove the concentration result (Theorem 2) on Haar random state|ψ⟩ on dAdB-dimensional Hilbert space: Proof
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dacd1390-18d4-43ba-bbe8-65ef0054151a · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9bd0c9d5-ff10-4bd3-b42b-185527398b97 · outbound
Approximate k-uniform states: definition, construction and applications Entanglement accelerates quantum simulation
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f089f7c0-76f1-499c-b76f-d79e14937080 · outbound
Approximate k-uniform states: definition, construction and applications good” approximate QECC can probably be constructed from Haar random unitaries, or even low depth random quantum circuits, with small failure probability. Next we show that “good
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2b67b255-6860-4498-890b-7d71b0bc5c90 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71220c9f-8c03-46c7-a4c9-266d7629cd2d · outbound
Approximate k-uniform states: definition, construction and applications Helwig, W
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78b047a5-ae97-4d56-9135-f796e69f51aa · outbound
Approximate k-uniform states: definition, construction and applications Cleve, D
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b5231fb9-d4ab-4183-b164-a68a51d0308e · outbound
Approximate k-uniform states: definition, construction and applications Shi, M.-S
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a01d2bce-be5d-432e-95f3-fee79af5f382 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eb6a5b14-5780-4e91-bd21-e6cfeab6eca7 · outbound
Approximate k-uniform states: definition, construction and applications Horodecki, L
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 40ffbeaa-0085-4b2a-8937-b9a759c0b5c7 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 64209aa5-e768-460b-a8fb-4f226f73e303 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 707c5ac6-afdc-4c19-be17-cda9a4352e19 · outbound
Approximate k-uniform states: definition, construction and applications Goyeneche and K
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fa179c11-94d1-4c30-9ee5-bc551d3d6805 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7133efde-0011-465f-9e9c-97aaf6dd4e4c · outbound
Approximate k-uniform states: definition, construction and applications Goyeneche, D
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5dc5ecd7-790b-447f-837d-c83bdb1cbe12 · outbound
Approximate k-uniform states: definition, construction and applications Goyeneche, Z
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cea47c5a-408b-49a5-a3e0-4f9de92d2a44 · outbound
Approximate k-uniform states: definition, construction and applications Raissi, A
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c03437d0-63fb-4fae-b3d2-28b1a959bd7f · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bf8baf9b-4a40-485f-aea3-b812203d4d1d · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c2cfcb4d-1fe2-4acf-8f63-b147f1a50546 · outbound
Approximate k-uniform states: definition, construction and applications Linear Programming Bounds on $k$-Uniform States
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5304b1d2-86df-421a-a329-a4da878c9ddf · outbound
Approximate k-uniform states: definition, construction and applications Rains, IEEE Trans
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation da2e62da-a0d8-4724-a6f6-c8901b29d34d · outbound
Approximate k-uniform states: definition, construction and applications Higuchi and A
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c5af7208-5a12-4ba6-85bf-ae0cad44ac60 · outbound
Approximate k-uniform states: definition, construction and applications Huber, O
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d56c2931-a65a-42bf-a929-897cde41d7dd · outbound
Approximate k-uniform states: definition, construction and applications Huber, C
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 005737e8-48da-412b-b726-0028ff65d23d · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8df1efd2-6135-46eb-9c6e-5c8ece53dad1 · outbound
Approximate k-uniform states: definition, construction and applications Sen, Phys
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a3818ac7-465c-4735-926d-04997f4abc4c · outbound
Approximate k-uniform states: definition, construction and applications Huber and N
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6d4b0651-3c2b-4ff9-8556-f172c2854d7b · outbound
Approximate k-uniform states: definition, construction and applications Li and Y.-L
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a987b3cf-21fe-471b-b292-1fe02f8906c5 · outbound
Approximate k-uniform states: definition, construction and applications LaRacuente and F
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0de907bf-fb3d-498c-aab7-959c8dd29c41 · outbound
Approximate k-uniform states: definition, construction and applications Random unitaries in extremely low depth
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9b30b9f-f6da-447e-8c33-203a3b7f3777 · outbound
Approximate k-uniform states: definition, construction and applications Hayden, D
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 11e21fae-de47-49b7-ae11-977d557a1c01 · outbound
Approximate k-uniform states: definition, construction and applications Zhu, Physical Review A 96, 10.1103/physreva.96.062336 (2017)
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c16c4d5a-9659-4986-960c-e3cdaaf0e926 · outbound
Approximate k-uniform states: definition, construction and applications Bouland, B
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2c9bf13b-afd1-4f8d-b0ee-9181697c7bf6 · outbound
Approximate k-uniform states: definition, construction and applications Magesan, J
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 974a91eb-0cab-47cc-83a3-02eb2f758cc6 · outbound
Approximate k-uniform states: definition, construction and applications Zhou and A
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 58058da5-aa4c-4493-be36-25ea4f8e79c5 · outbound
Approximate k-uniform states: definition, construction and applications Leone, S
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c5749e7-4a37-41b7-9082-ae9a2673b371 · outbound
Approximate k-uniform states: definition, construction and applications To study the property of Haar random states within the framework of k-uniform states, we can relax the condition to approximate k-uniform states
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b171771c-85f8-42e2-ada6-069acd3f76f0 · outbound
Approximate k-uniform states: definition, construction and applications Webb, Quantum Information and Computation 16 (2015)
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 89893924-1cb2-42a2-ad34-9d26fadd05dd · outbound
Approximate k-uniform states: definition, construction and applications Vedral, M
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2106103a-f369-4b4c-9a06-26ec18d0c30f · outbound
Approximate k-uniform states: definition, construction and applications Vedral, Reviews of Modern Physics 74, 197–234 (2002)
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ee89cdc4-6f97-4768-be34-c93224fa4a5a · outbound
Approximate k-uniform states: definition, construction and applications Rains, IEEE Trans
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c89ac458-6d61-4cbc-8233-5d1aab668f5a · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e55368f7-2c72-40ce-9465-73b99165db21 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c53c549a-d796-4400-99df-5e696de9ab2e · outbound
Approximate k-uniform states: definition, construction and applications Pseudo-randomness and Learning in Quantum Computation
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb0a2f06-5bf0-444f-bca1-1fadcf44d597 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c3caacb5-466e-4eb3-89ac-4c79d2ff6463 · outbound
Approximate k-uniform states: definition, construction and applications Huber and M
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b2f8f924-f344-4571-b509-54fd237c7a51 · outbound
Approximate k-uniform states: definition, construction and applications Schumacher and M
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2ea73481-893b-464a-9d01-d1bcb9330a0a · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d555f4c8-9a34-4847-84f3-b91ca6a925b0 · outbound
Approximate k-uniform states: definition, construction and applications Liu and S
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3ccd4ba7-854a-46f9-b3c4-9f1ce3da10c9 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cbef2cd9-94b2-4dae-90ed-219558e8520e · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd94e01d-2d3b-454f-a195-9c44c760f4ee · outbound
Approximate k-uniform states: definition, construction and applications Shor and R
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0228994c-1b40-48e3-9173-1927ba3db747 · outbound
Approximate k-uniform states: definition, construction and applications Rains, IEEE Trans
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ddd46e91-01a0-4c52-bfb2-c3309a7ed3d0 · outbound
Approximate k-uniform states: definition, construction and applications Experimental measurement and a physical interpretation of quantum shadow enumerators
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33a0ebbd-a0d5-4ec1-a487-504a7238a9a2 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 14c4b5c0-9239-43dd-bed2-eca0d398c0db · outbound
Approximate k-uniform states: definition, construction and applications Hayden, D
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 068e82e7-7b89-4245-b29c-a909677196a1 · outbound
Approximate k-uniform states: definition, construction and applications Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1c8ad3de-0024-4556-a549-0a8c0950970b · outbound
Approximate k-uniform states: definition, construction and applications P´ erez-Garc´ ıa, M
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a68a7b55-71b2-4487-b7a6-abe92a54c65b · outbound
Approximate k-uniform states: definition, construction and applications Harrow, P
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e36a5733-68c2-4d00-9f8a-20436a1dc3c0 · outbound
Approximate k-uniform states: definition, construction and applications How to Construct Random Unitaries
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270df735-1f24-47c6-afb4-60fec2f80edb · inbound
Absolutely maximally entangled pure states of multipartite quantum systems Approximate k-uniform states: definition, construction and applications
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0031b86d-b56e-4eb0-9efe-1e98cf02d531 · inbound
Absolutely maximally entangled pure states of multipartite quantum systems Approximate k-uniform states: definition, construction and applications
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94bbe717-b267-40c7-8018-42ee2f47cb71 · inbound
Equi-Entropic Maps for Four-Partite Quantum States Approximate k-uniform states: definition, construction and applications
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.