Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:46:50.447470Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2504.19827.
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 2026-08-16T05:46:50.447470Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6aa1e83a-e4fb-4231-9a8f-382a0235b4a3 · outbound
Quantum oracles for the finite element method Deutsch and R
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ac4a3916-e576-47e7-bfee-20290e747690 · outbound
Quantum oracles for the finite element method Deutsch and R
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4edbcf30-f29c-47b2-a405-8ef032c0c6e4 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6d84e63c-529e-46f1-88f2-fe9a94f721aa · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 25802401-6bfd-4218-9e54-29ff965a97f0 · outbound
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4a49cac7-d5c5-42f5-ae2f-530c2a837737 · outbound
Quantum oracles for the finite element method Quantum algorithms: A survey of applications and end-to-end complexities
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1615bdf6-1276-4307-8d4a-c475a8df37ae · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39111884-672c-4295-85c2-903a10e5ea80 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4132b82d-0e3b-4854-8d2b-b46e873874c5 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e81bddc0-9754-4e86-84a2-fb387dce188d · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ccb48598-8fc3-4d1e-94fb-bba1749ae1f4 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c74559ba-03f7-426c-86d9-71c22ac87ee2 · outbound
Quantum oracles for the finite element method Ern and J.-L
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d1e823c2-b4d1-4c81-9a31-8cb579784011 · outbound
Quantum oracles for the finite element method Bathe, Finite Element Procedures (Prentice Hall, 2006)
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fc825940-083b-4191-a73f-832ee9b7dd46 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f7d633a-02d1-43ef-9ece-1522c026503d · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fb1a49d1-3994-4332-b163-4f8b14962a6e · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 179dec1a-50f0-4307-8b3a-277d38825b80 · outbound
Quantum oracles for the finite element method Montanaro and S
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 135e5535-ab92-466c-b4f7-e6f3a450dc5b · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3cf2a4c-36f2-457f-a6c0-6d2e093a33b3 · outbound
Quantum oracles for the finite element method Optimizing Quantum Circuits for Arithmetic
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e05a49cc-457a-4585-85b9-bdd595f2bb19 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f612253-0404-4045-951d-1d821188ab3e · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4c9b6046-f159-43e1-af12-d8619b173630 · outbound
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4eda4ec4-3c55-481e-aa8b-d674aeab207f · outbound
Quantum oracles for the finite element method A new quantum ripple-carry addition circuit
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71863de1-69c2-4ea5-905e-98f970f05909 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b6b532a-f6c5-4b26-bea3-8ce3898640c2 · outbound
Quantum oracles for the finite element method Van Meter and K
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c77e1eaf-5ed3-4c75-a844-c63be6dd634d · outbound
Quantum oracles for the finite element method A logarithmic-depth quantum carry-lookahead adder
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18ce4c91-279a-4399-9b3e-7493abc2f92b · outbound
Quantum oracles for the finite element method Ruiz-Perez and J
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 75d57ac2-529d-4efb-a1ff-d0a478b53cb3 · outbound
Quantum oracles for the finite element method Gidney, Halving the cost of quantum addition, Quan- tum 2, 74 (2018)
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d07db8d3-7674-4eea-bb6e-032bb4536b2c · outbound
Quantum oracles for the finite element method Fast versions of Shor's quantum factoring algorithm
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e8d62b2-b621-41f6-9d31-368f6c806297 · outbound
Quantum oracles for the finite element method Addition on a Quantum Computer
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 637db5c8-053f-4238-8cdc-9a8e9d29fb6d · outbound
Quantum oracles for the finite element method Paler, Quantum Fourier addition simplified to Toffoli addition, Phys
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c6339dc8-f5e2-42e6-851a-193087aa277a · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c4cccff-ffae-434c-9acf-9f4364528baa · outbound
Quantum oracles for the finite element method Rieffel and W
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82963115-5fa2-440e-916f-5001b576d395 · outbound
Quantum oracles for the finite element method Thapliyal, T
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 11419387-55de-4650-9afe-c5d7816dadba · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a7fc0ae0-c659-4f5d-a209-5d5beb30ac5c · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 90c318f6-03db-415c-8a9c-2c0e758cb093 · outbound
Quantum oracles for the finite element method Flynn, On Division by Functional Iteration, Comput- ers, IEEE Transactions onC-19, 702 (1970)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1b30b80d-bd0a-4ab7-abfc-3730c86f5b2b · outbound
Quantum oracles for the finite element method Bampi and A
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 45bd0675-9cc9-4dad-83e6-efbf38b351e0 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7d7783c-60f5-47cf-ae5f-43bfd0474ff3 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da948c4a-b1cf-49db-8367-3c4543747f00 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be95dc2b-b3ce-443f-91c4-d8b82928e1d0 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f593cf5-63a7-4f6f-bef4-5c587b28bee3 · outbound
Quantum oracles for the finite element method Huang and L
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fc125eb0-fc91-4cb0-9db1-50a1bd0054fc · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a921d6d-e5ef-45bc-8118-7fee6f24c605 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0e2ee6d5-5bae-4173-afc9-ecace304fe4c · outbound
Quantum oracles for the finite element method Felippa, Introduction to Finite Element Methods (Uni- versity of Colorado, Boulder, 2004)
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a8ba40ae-f258-43e6-9325-e4f6377c1cd6 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92cb1b11-f25d-4e75-a68e-8c8c8597e75c · outbound
Quantum oracles for the finite element method Beauregard, Circuit for Shor’s algorithm using 2n+3 qubits, Quantum Info
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d5345ed-4a9f-4390-a023-6c000e9c4c8e · outbound
Quantum oracles for the finite element method Pavlidis and D
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 069aff7f-795b-4d0a-93c8-268bf59d6540 · outbound
Quantum oracles for the finite element method Parker and J
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 173218a3-fe82-4dbb-a0ac-187eeca3e4b1 · outbound
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e88a69ca-0c17-4d4a-aced-5e106aae3504 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation abfd08b5-cbcd-4195-b6ce-f789f1660171 · outbound
Quantum oracles for the finite element method Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1b9efee1-1a26-4c5d-a015-a5ff7edfb19e · outbound
Quantum oracles for the finite element method (B3) In this section, we describe the two in-place operations inSQ and inMUL, occurring in the exponentiator in Sec- tion IIB
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4b0ab148-3fa8-414f-ba20-ebbcc80c8762 · outbound
Quantum oracles for the finite element method For two registers of r qubits each (focusing on positive numbers,a,b> 0), we apply a series ofr CNOT gates between qubit pairs of equal significance (see Fig
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 90d2bb15-d4af-45df-9363-08582b3ce5b9 · outbound
Quantum oracles for the finite element method (60) requires the combination of multiple compar- isons
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.