Paper Citation Record · LEDGER

Depth optimization of quantum search algorithms beyond Grover's algorithm

As of 20 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:1908.04171.

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

pith.paper-citation-record.v1
1908.04171 v3

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:59:40.420925Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:59:23.284716Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:59:23.498345Z

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy19
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation 7b37bf1d-3a8a-4d2c-b67e-9064d7a0aa1b · outbound

This paper cites We also study the depth optimization in the multi-stage quantum search algorithm.

Depth optimization of quantum search algorithms beyond Grover's algorithm We also study the depth optimization in the multi-stage quantum search algorithm

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:41.004105Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 157f8429-ff45-40d6-9eeb-f432fdabe4b1 · outbound

This paper cites For convenience, we denote the oracleUf as Ut = 1 12n− 2|t⟩⟨t| (3) if the ancillary qubitH|1⟩ is prepared.

Depth optimization of quantum search algorithms beyond Grover's algorithm For convenience, we denote the oracleUf as Ut = 1 12n− 2|t⟩⟨t| (3) if the ancillary qubitH|1⟩ is prepared

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:41.034104Z

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Observation b61c60d7-2e69-4c1b-9e32-6ac32a422261 · outbound

This paper cites We can expand: γ = 3 √ 2θ2 +O ( θ2 2 ) , (41a) ⟨v±|sn⟩ = 1√ 2 +O (θ2) (41b) We substitute the above relations into Eq.

Depth optimization of quantum search algorithms beyond Grover's algorithm We can expand: γ = 3 √ 2θ2 +O ( θ2 2 ) , (41a) ⟨v±|sn⟩ = 1√ 2 +O (θ2) (41b) We substitute the above relations into Eq

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:41.018599Z

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Observation c51c898a-56de-4da1-bb24-c6cc3ee03bde · outbound

This paper cites The one-iteration Grover’s algo- rithm gives |0⟩ H Ut D6 |0⟩ H |0⟩ H |0⟩ H |0⟩ H |0⟩ H Measurements at the end are computational basis mea- surements.

Depth optimization of quantum search algorithms beyond Grover's algorithm The one-iteration Grover’s algo- rithm gives |0⟩ H Ut D6 |0⟩ H |0⟩ H |0⟩ H |0⟩ H |0⟩ H Measurements at the end are computational basis mea- surements

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.987820Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 99649efe-5386-4db6-befa-5ee02a9c3a5c · outbound

This paper cites We can also design a two-stage quantum search algorithm.

Depth optimization of quantum search algorithms beyond Grover's algorithm We can also design a two-stage quantum search algorithm

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.971657Z

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Observation 82316221-10a7-456e-9c0c-9fad9142abe6 · outbound

This paper cites We divide the target state into two parts: |t1⟩ and|t2⟩.

Depth optimization of quantum search algorithms beyond Grover's algorithm We divide the target state into two parts: |t1⟩ and|t2⟩

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.956257Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4cb1df28-8383-4187-9d52-ceb6e11a6039 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.938576Z

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Observation edffefd5-4fc8-4aaf-80cb-940359e9df6d · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.924105Z

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Observation eef21271-3168-4af8-8946-7ea0571618ac · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.270699Z

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Unavailable: canonical work link unavailable.

Observation a0492491-04f5-4231-9c40-59a6c3f020fd · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.900797Z

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Observation 0e12d560-5fac-4d71-a629-4c411cfdf1ba · outbound

This paper cites Barends, J.

Depth optimization of quantum search algorithms beyond Grover's algorithm Barends, J

Reference 11

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Observation afd20860-5c9a-476a-9a45-c8cae1f828ad · outbound

This paper cites Ballance, T.

Depth optimization of quantum search algorithms beyond Grover's algorithm Ballance, T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.876655Z

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Observation 39193eb7-161e-4dcb-9e76-59c6ca6c79c2 · outbound

This paper cites Figgatt, D.

Depth optimization of quantum search algorithms beyond Grover's algorithm Figgatt, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.861057Z

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Observation a622ffd9-3662-47a3-bfd2-98e8c4cf192e · outbound

This paper cites Arute, K.

Depth optimization of quantum search algorithms beyond Grover's algorithm Arute, K

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.296510Z

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Unavailable: canonical work link unavailable.

Observation 7096c2b6-02c4-4d02-827c-0845f335ba80 · outbound

This paper cites Preskill, Quantum 2, 79 (2018).

Depth optimization of quantum search algorithms beyond Grover's algorithm Preskill, Quantum 2, 79 (2018)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.301572Z

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Unavailable: canonical work link unavailable.

Observation cd06ab98-c308-4af8-8cfc-e92ebaf45b15 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.828410Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b4b718ee-6121-4a3b-8b76-f3f595ceccc4 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.814764Z

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Observation 1c654024-e18f-48e6-8dd3-f4559160477f · outbound

This paper cites Brassard, P.

Depth optimization of quantum search algorithms beyond Grover's algorithm Brassard, P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.800304Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f7f2d329-6c8c-45ce-9a3c-26cb96f77c18 · outbound

This paper cites Tulsi, Physical Review A 86, 042331 (2012).

Depth optimization of quantum search algorithms beyond Grover's algorithm Tulsi, Physical Review A 86, 042331 (2012)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.784579Z

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Observation e99601dd-36be-422f-ae42-878961e80140 · outbound

This paper cites Tulsi, Physical Review A 91, 052307 (2015).

Depth optimization of quantum search algorithms beyond Grover's algorithm Tulsi, Physical Review A 91, 052307 (2015)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.768889Z

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Observation 52a6b972-b125-4966-8b5f-46e04022dd29 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.753001Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d5190926-9094-4b1e-b25f-88481ece831a · outbound

This paper cites Implementing Grover oracles for quantum key search on AES and LowMC.

Depth optimization of quantum search algorithms beyond Grover's algorithm Implementing Grover oracles for quantum key search on AES and LowMC

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.335074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 770b3cb8-ccc6-4bc4-987f-b025506e2418 · outbound

This paper cites Boyer, G.

Depth optimization of quantum search algorithms beyond Grover's algorithm Boyer, G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.737861Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d977d636-a01c-48e9-b78b-3f9f5f069c62 · outbound

This paper cites Zalka, Physical Review A 60, 2746 (1999).

Depth optimization of quantum search algorithms beyond Grover's algorithm Zalka, Physical Review A 60, 2746 (1999)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.723575Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d64d9271-6e0a-484e-922d-c7ef792043b3 · outbound

This paper cites Kato, Physical Review A 72, 032319 (2005).

Depth optimization of quantum search algorithms beyond Grover's algorithm Kato, Physical Review A 72, 032319 (2005)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.709593Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2e5be2b8-3c55-4325-977b-dbb6c18f3374 · outbound

This paper cites Jiang, E.

Depth optimization of quantum search algorithms beyond Grover's algorithm Jiang, E

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.353769Z

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Unavailable: canonical work link unavailable.

Observation f29251c2-f73c-4ab5-a90f-36f6837502f5 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.686064Z

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Observation 04fc9f0d-a936-4115-bc2c-476bea4160d4 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.671719Z

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Observation bc04638e-0a45-4c44-86ee-fcd631a50ac2 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.657229Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c36f19f6-a112-4d7b-a407-92ede1d77b8d · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.643468Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ea85d42e-6755-47b8-904d-510a02721c90 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.628721Z

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Observation ea63291c-10d6-47c3-8090-1dbc4e7d6223 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.613719Z

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Observation 446f3be5-1ff1-4739-94b5-c5e6abb2030f · outbound

This paper cites Barenco, C.

Depth optimization of quantum search algorithms beyond Grover's algorithm Barenco, C

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.598385Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8e4dc72b-4a89-430b-9807-3880f5534db9 · outbound

This paper cites He, M.-X.

Depth optimization of quantum search algorithms beyond Grover's algorithm He, M.-X

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.583263Z

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Observation 1e7c1ed1-7415-4243-83bc-9c2affc57b47 · outbound

This paper cites Asymptotic Improvements to Quantum Circuits via Qutrits.

Depth optimization of quantum search algorithms beyond Grover's algorithm Asymptotic Improvements to Quantum Circuits via Qutrits

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:40.391503Z

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Unavailable: canonical work link unavailable.

Observation 58fdde1a-802f-4661-a31b-629753b4f5f8 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.568350Z

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Observation 489c2abc-4348-48a9-8673-1990b0b14cbc · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.552770Z

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Observation 72b1e4f2-a73f-436e-a85c-722ab4b07fa4 · outbound

This paper cites Choi and V.

Depth optimization of quantum search algorithms beyond Grover's algorithm Choi and V

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.538298Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 74c23c4b-2d64-43a5-bbb0-59c6bc68f034 · outbound

This paper cites Zhang and V.

Depth optimization of quantum search algorithms beyond Grover's algorithm Zhang and V

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.522699Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3db72f42-d8d7-44ab-88cd-dee7f3360d12 · outbound

This paper cites an unresolved cited work.

Depth optimization of quantum search algorithms beyond Grover's algorithm Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:59:40.506926Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e477d8e6-574f-44c1-93c9-6e6b45592a60 · outbound

This paper cites Diao, Physical Review A 82, 044301 (2010).

Depth optimization of quantum search algorithms beyond Grover's algorithm Diao, Physical Review A 82, 044301 (2010)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:59:40.491831Z

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Pith citing papers

Observation 80c0c3e6-b846-42f3-b66d-e29dbb3f12b4 · inbound

Quantum solvability of noisy linear problems by divide-and-conquer strategy cites this paper.

Quantum solvability of noisy linear problems by divide-and-conquer strategy Depth optimization of quantum search algorithms beyond Grover's algorithm

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:59:23.504773Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.