Paper Citation Record · LEDGER

Provably Efficient Self-Calibrating Quantum Fault Tolerance

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.05686.

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

pith.paper-citation-record.v1
2608.05686 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T01:06:15.179769Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy18
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 327297be-da07-456a-af2e-1d313b00514c · outbound

This paper cites Recall from Eq.

Provably Efficient Self-Calibrating Quantum Fault Tolerance Recall from Eq

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.439954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8a71d8bc-52f6-45f7-85ce-4b3f32214139 · outbound

This paper cites Again, we need to choose a perturbation radiusλ >0and define the shrunk feasible set Qλ :={ ⃗θ∈Q: ⃗θ+λu∈Qand ⃗θ−λu∈Qfor allu∈ {±1} d}.

Provably Efficient Self-Calibrating Quantum Fault Tolerance Again, we need to choose a perturbation radiusλ >0and define the shrunk feasible set Qλ :={ ⃗θ∈Q: ⃗θ+λu∈Qand ⃗θ−λu∈Qfor allu∈ {±1} d}

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.429627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7717f7e4-24d6-4281-ac40-4e8579b9fd37 · outbound

This paper cites This is sufficient for proving convergence, but it does not use the potential local structure of detector data in a QEC circuit.

Provably Efficient Self-Calibrating Quantum Fault Tolerance This is sufficient for proving convergence, but it does not use the potential local structure of detector data in a QEC circuit

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.450177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 83e3d841-4430-4dc8-ac15-4d124ced2c19 · outbound

This paper cites an unresolved cited work.

Provably Efficient Self-Calibrating Quantum Fault Tolerance Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-08T01:06:15.418416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a68603db-6b9c-4b5f-a6ed-86d13e25300a · outbound

This paper cites The setting is the same as for Theorem 9.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The setting is the same as for Theorem 9

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.407530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e6caaaa0-88b3-48ae-b39d-56428cc24190 · outbound

This paper cites However, now we do not assume that we remain inside the convex ball of Appendix A.

Provably Efficient Self-Calibrating Quantum Fault Tolerance However, now we do not assume that we remain inside the convex ball of Appendix A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.396217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30cd7a2c-f382-4576-adba-65751b7b6277 · outbound

This paper cites C(δ ⃗θ+νu)−C(δ ⃗θ) ν uj # . Stacking the coordinates proves the claim. Lemma 20(Hessian identity of Gaussian smoothing).For everyδ ⃗θ∈P, we have ∇2Cν(δ⃗θ) =E u.

Provably Efficient Self-Calibrating Quantum Fault Tolerance C(δ ⃗θ+νu)−C(δ ⃗θ) ν uj # . Stacking the coordinates proves the claim. Lemma 20(Hessian identity of Gaussian smoothing).For everyδ ⃗θ∈P, we have ∇2Cν(δ⃗θ) =E u

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.378763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 79ce06ca-ba0e-46b8-8043-eeeaed6d95ff · outbound

This paper cites This is the same mechanism as Corollary 3 and Corollary 4 applied to the Gaussian-smoothed gradient and Hessian estimators used for finding anε-SOSP.

Provably Efficient Self-Calibrating Quantum Fault Tolerance This is the same mechanism as Corollary 3 and Corollary 4 applied to the Gaussian-smoothed gradient and Hessian estimators used for finding anε-SOSP

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.364044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f1c5edc4-63cd-492d-9e35-0be7acac3834 · outbound

This paper cites follow the regularized leader.

Provably Efficient Self-Calibrating Quantum Fault Tolerance follow the regularized leader

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.349380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c4d52fb5-ec1f-480e-9fbc-6697798b1a29 · outbound

This paper cites These two states can be coupled by the laser, and single qubit gates can be implemented with high fidelity by tuning the Rabi frequency and the detuning of the laser.

Provably Efficient Self-Calibrating Quantum Fault Tolerance These two states can be coupled by the laser, and single qubit gates can be implemented with high fidelity by tuning the Rabi frequency and the detuning of the laser

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.337336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fca25a25-1715-4393-a0a0-f4b59a00f64b · outbound

This paper cites The CZ condition requiresξ 11 − ξ01 −ξ 10 =π.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The CZ condition requiresξ 11 − ξ01 −ξ 10 =π

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.325417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b0b683ca-4b48-4fec-9513-1c446e70132f · outbound

This paper cites As shown before, there are two pulse control parameters: the laser phaseφ(t)and the laser amplitude|Ω|.

Provably Efficient Self-Calibrating Quantum Fault Tolerance As shown before, there are two pulse control parameters: the laser phaseφ(t)and the laser amplitude|Ω|

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.312754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30d335d4-7c05-4885-a401-efd0aa2cdcb4 · outbound

This paper cites The code is the[ [4,1,2] ]quantum detection code with four physical qubits and three ancillary qubits.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The code is the[ [4,1,2] ]quantum detection code with four physical qubits and three ancillary qubits

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.300374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe7a4e58-1b99-4e91-855b-2b6711a1a291 · outbound

This paper cites The correctionQ= CZ·P·CZ † (which is also a Pauli up to phase since CZ is Clifford) is applied after.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The correctionQ= CZ·P·CZ † (which is also a Pauli up to phase since CZ is Clifford) is applied after

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.288038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 26f45665-d317-4db7-9e62-a6335437e9c6 · outbound

This paper cites The circuit consists of three phases: 1.MeasureS 1:Hadamard on data qubitsq 0–q3 (basis changeX→Z), Hadamard ona 0, four CZ gates(q i, a0), Hadamard ona 0, Hadamard on data qubits.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The circuit consists of three phases: 1.MeasureS 1:Hadamard on data qubitsq 0–q3 (basis changeX→Z), Hadamard ona 0, four CZ gates(q i, a0), Hadamard ona 0, Hadamard on data qubits

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.275218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d3ed87a-c1d8-4d6c-8404-20cd3bb3dbd6 · outbound

This paper cites The key computational tool is thequantum instrumentformalism using Kraus operators.

Provably Efficient Self-Calibrating Quantum Fault Tolerance The key computational tool is thequantum instrumentformalism using Kraus operators

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.264166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8e680519-2439-49ae-b53a-12bd6e3f6558 · outbound

This paper cites an unresolved cited work.

Provably Efficient Self-Calibrating Quantum Fault Tolerance Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-08T01:06:15.252921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8148590b-1e71-4174-8aef-b26e14ff1a5b · outbound

This paper cites , ngate}carriesPlocal control parameters (we useP= 5throughout), collected inp i ∈R P , and the corresponding hardware setpoint drifts top drift i.

Provably Efficient Self-Calibrating Quantum Fault Tolerance , ngate}carriesPlocal control parameters (we useP= 5throughout), collected inp i ∈R P , and the corresponding hardware setpoint drifts top drift i

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.241011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d4dab79-2a08-4846-8c7e-b8dd5dda4d2e · outbound

This paper cites Its objective is the mean detection rate DR(p) = 1 ND NDX k=1 DRk(p), DR k(p) = Pr[detectorkfires],(F4) estimated frommMonte Carlo shots of the compiled detector sampler.

Provably Efficient Self-Calibrating Quantum Fault Tolerance Its objective is the mean detection rate DR(p) = 1 ND NDX k=1 DRk(p), DR k(p) = Pr[detectorkfires],(F4) estimated frommMonte Carlo shots of the compiled detector sampler

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.215310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7fe961f9-05fd-41b2-9750-466f9ae0260c · outbound

This paper cites calibration event.

Provably Efficient Self-Calibrating Quantum Fault Tolerance calibration event

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T01:06:15.228966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.