Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T10:29:18.166260Z
Paper Citation Record · LEDGER
Better product formulas for quantum phase estimation
As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2412.16811.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
Reference resolution
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a2a39336-c6e4-42eb-a77f-07775c47f147 · outbound
This paper cites This is because the lowest contribution comes from the first term above 1 s R s 0 dσE(σ), where we recall E(σ) = O(σp).
Better product formulas for quantum phase estimation This is because the lowest contribution comes from the first term above 1 s R s 0 dσE(σ), where we recall E(σ) = O(σp)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.370359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a3c441dc-eda7-48a4-b33b-2139ffbb8258 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.359944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b101349f-b3f4-4ed5-a9ee-a24330c6a9bd · outbound
This paper cites (4) up to (but not including) order s2p+1, only the term 1 s R s 0 dσ ⟨ψ|E(σ)|ψ⟩ contributes.
Better product formulas for quantum phase estimation (4) up to (but not including) order s2p+1, only the term 1 s R s 0 dσ ⟨ψ|E(σ)|ψ⟩ contributes
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.350855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 242a3b69-f1fa-4b06-84b4-28a8daffe9b3 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.340279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e12432b5-3c1a-4502-87da-6dba297348de · outbound
This paper cites Lloyd, Science 273, 1073 (1996).
Better product formulas for quantum phase estimation Lloyd, Science 273, 1073 (1996)
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.107288Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ed98c8c-f51c-45c4-9a47-34d2fa47e683 · outbound
This paper cites Suzuki, Journal of Mathematical Physics 32, 400 (1991).
Better product formulas for quantum phase estimation Suzuki, Journal of Mathematical Physics 32, 400 (1991)
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.111218Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 043d8316-fe81-4fc9-9f73-6345c3988973 · outbound
This paper cites Campbell, Physical review letters 123, 070503 (2019).
Better product formulas for quantum phase estimation Campbell, Physical review letters 123, 070503 (2019)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.319081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2b96d95d-1d67-47eb-803f-1d84338996e8 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.307675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 018d2f0b-4bd3-4da3-b0ed-4d480f5a06e4 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.297109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 31decccf-dbe6-421b-91f9-7ceced6cdb76 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.127852Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72e11734-c9fd-480c-934d-cbe1920b526e · outbound
This paper cites Well-conditioned multiproduct Hamiltonian simulation.
Better product formulas for quantum phase estimation Well-conditioned multiproduct Hamiltonian simulation
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.130994Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cc97eb5-834d-44f5-bcc5-84c3ea603db9 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.134540Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c7b28a1-e52c-4f73-82d0-f5c0402fee1b · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.137790Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f19532f2-09b5-4a2f-bd30-d8a0068fb290 · outbound
This paper cites Yi and E.
Better product formulas for quantum phase estimation Yi and E
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.269593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3c274a52-4988-4330-b12a-5604f29c4f37 · outbound
This paper cites S ¸ahino˘ glu and R.
Better product formulas for quantum phase estimation S ¸ahino˘ glu and R
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.259653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 93d86578-ed4b-4054-8a06-2a4cb9698b90 · outbound
This paper cites Better bounds for low-energy product formulas.
Better product formulas for quantum phase estimation Better bounds for low-energy product formulas
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.147840Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a66ac19e-bba9-40e1-98be-824d905d7451 · outbound
This paper cites Blanes, F.
Better product formulas for quantum phase estimation Blanes, F
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:29:18.151615Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5c5b386-cfc8-40fa-ad1a-63105b251e90 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.243875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5b467387-0f5f-4307-8e31-1085bcefbc23 · outbound
This paper cites Arnal, F.
Better product formulas for quantum phase estimation Arnal, F
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.233750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 16b73f47-addc-48f3-b34b-52cad2a660c2 · outbound
This paper cites an unresolved cited work.
Better product formulas for quantum phase estimation Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:29:18.222840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6dd7ce8a-7c15-43cc-a427-c1538cd0e9a6 · outbound
This paper cites Jansen, M.-B.
Better product formulas for quantum phase estimation Jansen, M.-B
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:29:18.212271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.