Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:26:14.643375Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2507.02811.
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 2026-08-06T20:26:14.643375Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:38:03.168453Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T12:38:03.298836Z
64 of 64 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ff4db308-c661-4c88-9e15-391fdbaebf97 · outbound
Bayesian frequency estimation at the fundamental quantum limit Then,g(k) =δ(k)and the MBMSE in Eq
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a2c9962b-e069-42cf-854a-54e0f185afa9 · outbound
Bayesian frequency estimation at the fundamental quantum limit Suppose that G(θ) =δ(θ)/δ(0)such that the states are all orthogo- nal, e.g
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation de08c9b3-31e5-4929-878d-92b525bc2219 · outbound
Bayesian frequency estimation at the fundamental quantum limit Each term here corresponds to one additional particle: the first term to zero particles, the second to one particle, the third to two particles etc
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ca92b42c-685a-41c4-bfb2-a0e99f7ec1ff · outbound
Bayesian frequency estimation at the fundamental quantum limit the minimum average posterior variance, and the prior variance for a sequence of wider and wider priors
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 449dd37e-b529-44ca-86f8-38dacb572c85 · outbound
Bayesian frequency estimation at the fundamental quantum limit quantum Fourier transform
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d4765ea9-7010-4818-be7d-00748df80517 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9c28a3fe-11e9-4124-89a5-efdb845e90f1 · outbound
Bayesian frequency estimation at the fundamental quantum limit derivative
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d03476ee-15a2-4296-868e-9a541dcd88eb · outbound
Bayesian frequency estimation at the fundamental quantum limit The periodic symmetry of a circu- lant family of states{|ψθ⟩}θ∈(−π,π] means that we should switch from using the MSE in Eq
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b19410b3-f258-438f-9c04-5714665d4fe4 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a0f294f4-9ee8-47a8-b972-dcff3ac1bbdc · outbound
Bayesian frequency estimation at the fundamental quantum limit An estimation problem that satisfies these conditions is covariant
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d9a979fe-6be8-4800-a29f-bacbb41b8568 · outbound
Bayesian frequency estimation at the fundamental quantum limit 34 holds for the MBMSE given the uninformative, uniform prior
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 97f72afe-a960-4f9b-aec6-57a60803a620 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cd9a4623-dba5-45cd-9c66-39c5a80555ae · outbound
Bayesian frequency estimation at the fundamental quantum limit 7 becomes [13] ∆2µ=σ 2 −σ 4I ˆϱ Q(µ)(D1) whereI ˆϱ Q(µ)is the QFI with respect toµof the displaced mixedstateˆϱ=e iµˆxˆ¯ρe−iµˆx
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 49b88fb0-a693-4d99-b679-f9edae2fdc02 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4c9b1e80-a245-4261-81d1-f6004c8bed04 · outbound
Bayesian frequency estimation at the fundamental quantum limit This means that the optimal estimator˜µn = 0 contains no additional information about the displace- mentµand thus the BMSE equals the prior variance σ2
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 20eaa284-2725-4f8b-bbc7-52f8b2dadb0c · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 82760081-5f51-4455-8145-34068cbe9cb1 · outbound
Bayesian frequency estimation at the fundamental quantum limit This limit represents the uninformative, uniform prior onR that is nevertheless normalised, i.e.∂ µπ(µ) = 0andR ∞ −∞dµ π(µ) = 1
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 96310516-ef15-46a1-8b4b-aedef7f30cf3 · outbound
Bayesian frequency estimation at the fundamental quantum limit We use the annihilation operator ˆbθ from Eq
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f310c321-a7c7-449d-b0e0-89d6909b94eb · outbound
Bayesian frequency estimation at the fundamental quantum limit Let the anni- hilation operator of thejth time bin be ˆcj = 1√ δt Z (j+1)δt jδt dtˆa(t)(E5) where[ˆcj,ˆa†(t)] = 1√ δt χ(jδt,(j+1)δt) (t)and[ˆc j,ˆc† k] =δ jk forj, k∈Z
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bbe40c7c-f2ae-4ddd-a49d-ed7e319117da · outbound
Bayesian frequency estimation at the fundamental quantum limit Let us show this now for Gaussian and double-exponential window functions
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bbb741c4-bb03-40c0-a97c-b9cbbcff5471 · outbound
Bayesian frequency estimation at the fundamental quantum limit Payne et al
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b958a62f-bc11-4d26-8dc8-551bb8ec8b98 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2f1118f9-887d-466d-ba95-dec4b9e567c9 · outbound
Bayesian frequency estimation at the fundamental quantum limit Sarin and P
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 89629e7f-a188-483e-ad0f-0743e30eb2ed · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5f88c8d3-8df4-4872-ab84-7cda9a81bff1 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 53dafcbe-8153-453e-b805-93120bfab900 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 70395d1b-56ee-44c4-9686-e6d874621eb1 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3fca9cb7-f080-4eac-b0ec-792d969d00cf · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b465ca6a-5e99-4146-8ba1-11ced5b66517 · outbound
Bayesian frequency estimation at the fundamental quantum limit US Cosmic Visions: New Ideas in Dark Matter 2017: Community Report
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9252a01a-4277-414f-b100-793afcb4b8a2 · outbound
Bayesian frequency estimation at the fundamental quantum limit Kubo, The fluctuation-dissipation theorem, Rep
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b3aeecb-8740-41f1-8c07-602bd2d9b841 · outbound
Bayesian frequency estimation at the fundamental quantum limit Buonanno and Y
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c294b800-2f50-4d3e-8960-1071a77dbc31 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ac658208-861c-480c-9f9b-31e56ff7ee5f · outbound
Bayesian frequency estimation at the fundamental quantum limit Macieszczak, M
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation af9b523e-3f4b-4d49-9870-1de12a199d15 · outbound
Bayesian frequency estimation at the fundamental quantum limit Jarzyna and R
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation df79ce8e-d533-49f1-bec4-04df8028b38d · outbound
Bayesian frequency estimation at the fundamental quantum limit Rubio and J
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e38a4d4-f904-456f-8703-6a1838f7dcd2 · outbound
Bayesian frequency estimation at the fundamental quantum limit Kaubruegger, D
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3ae18c0f-b3d6-4832-be4d-7d66f93fcc48 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca7e5334-5465-42ae-8ac2-9ae48b6dd4a1 · outbound
Bayesian frequency estimation at the fundamental quantum limit Direkci, R
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f94befe1-c01f-40b2-9c69-70fb60e9dd0a · outbound
Bayesian frequency estimation at the fundamental quantum limit Tsang, H
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e7087f09-99e1-4802-8acd-f02e66457d38 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3f9f9ddb-a9a8-4d21-8039-28de9803c51d · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f4a8167d-a8d7-49ab-b365-80ac20f9fb10 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7abc3c01-90eb-47ba-a656-25eeb49e8b40 · outbound
Bayesian frequency estimation at the fundamental quantum limit Optimal Multiparameter Metrology: The Quantum Compass Solution
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9640fd58-53cb-4107-8747-c524da94b8f8 · outbound
Bayesian frequency estimation at the fundamental quantum limit Phase space formalism for quantum estimation of Gaussian states
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 530aff74-8be8-46e1-8d7c-a9b7e620162f · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation baa20b97-25ee-4b93-beb7-98b3cc71d476 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 68d9f41c-b83f-4bc2-8308-39d293a71eec · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2881a693-20f4-4f50-adb2-7b7cba2c1d81 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e97d3d5a-cfee-45dd-ba61-ee956b2fb200 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation de34975d-5ff4-429f-b09b-0976666b1904 · outbound
Bayesian frequency estimation at the fundamental quantum limit Rife and R
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b5c82ed5-92c7-4410-b73e-45500952afe6 · outbound
Bayesian frequency estimation at the fundamental quantum limit Steinhardt and C
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8ac8b436-c942-4900-8127-3a937f3a091c · outbound
Bayesian frequency estimation at the fundamental quantum limit James, B
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5e69d61b-69b0-447d-b371-e43ecc9031f2 · outbound
Bayesian frequency estimation at the fundamental quantum limit Knockaert, The Barankin bound and threshold behav- ior in frequency estimation, IEEE Trans
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a01c709b-5e49-4869-a990-9de9e72c68cf · outbound
Bayesian frequency estimation at the fundamental quantum limit Schmitt, T
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1c7c33d3-458b-41b5-b39c-1718e7ba34f3 · outbound
Bayesian frequency estimation at the fundamental quantum limit Schmitt, T
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 814a3a06-0417-4add-bace-008b0a8e5135 · outbound
Bayesian frequency estimation at the fundamental quantum limit Holevo, Estimation of shift parameters of a quantum state, Reports on Mathematical Physics13, 379 (1978)
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55516089-c9b8-45ce-a6a4-0148d4aaa644 · outbound
Bayesian frequency estimation at the fundamental quantum limit Chiribella, G
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation db760786-1c29-4331-be5f-eb1e314097f3 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 737010dd-ed9b-43df-8772-ea079079d26a · outbound
Bayesian frequency estimation at the fundamental quantum limit Direkci et al
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cef88f78-b76a-4211-b083-676b36f263e3 · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1340aec9-4c7b-441c-8903-354bc7d99bae · outbound
Bayesian frequency estimation at the fundamental quantum limit Demkowicz-Dobrzański, M
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1e8215c6-a228-451e-973b-858846535b5a · outbound
Bayesian frequency estimation at the fundamental quantum limit Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 663c67e8-1edd-4fed-9088-2c735e400cf2 · outbound
Bayesian frequency estimation at the fundamental quantum limit Jeffreys, An invariant form for the prior probability in estimation problems, Proceedings of the Royal Society of London
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8a5212f-41ed-4177-8b99-d8b860114486 · outbound
Bayesian frequency estimation at the fundamental quantum limit Böttcher and S
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1e3a1aed-52d1-4ff8-825f-b6fa1de92a6c · inbound
Extending the dynamic range in quantum frequency estimation with sequential weak measurements Bayesian frequency estimation at the fundamental quantum limit
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.