Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:49:09.246371Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 5 inbound Pith citation observations for arXiv:2506.15130.
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 2026-08-15T19:49:09.246371Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T06:26:15.484098Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T01:46:41.017533Z
47 of 47 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2ebb6de5-cf62-469d-85d4-43730fd19d2d · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Roadmap to fault tolerant quantum computation using topological qubit arrays
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7706689-a259-4fcb-ae9c-dfadad00ac17 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Geometrically Enhanced Topological Quantum Codes
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63a8c06b-3161-4509-bc53-d51dfbe90f55 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Quantum error correction below the surface code threshold
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d94031b4-bb3b-44e6-adb0-ffdde1ebe61c · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes On ther- mal stability of topological qubit in kitaev’s 4d model
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a197165b-03d3-45d1-b8b8-2d1cb3c9a109 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Experiments with the four-dimensional surface code on a quantum charge-coupled device quantum computer
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2a95b0fb-79c6-46c1-916a-16daac7cee30 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Surface code compilation via edge-disjoint paths
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d33ae783-0076-43d9-bfdb-a0bf83078782 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Evered, Alexandra A
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5c6da58-8c6c-4eb9-8c45-2c62b2f1c1f0 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Single-shot fault-tolerant quantum error correction.Physical Review X, 5(3):031043, 2015
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bbaeb229-917b-40b8-91a0-0f0f9f12e664 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Self-correcting quantum computers
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 90b3c00d-e8f3-4d23-8ae9-d48c15f4543a · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes High-threshold and low-overhead fault-tolerant quantum memory
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8fc4ef51-330f-41d0-a7e3-cf0da83fab60 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Homological product codes
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 57416d31-92f6-4b73-87d7-6fb45249c116 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Universal quantum computation with ideal clifford gates and noisy ancillas
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae709da9-fc75-49c1-a674-a4d371a5e699 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation de8b6c39-6a4a-423d-9a49-b05f05403777 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Fold-transversal clifford gates for quantum codes
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c95c9189-68ba-4be1-a99c-3c00106d3ddf · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes A theory of single-shot error correction for adversarial noise
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a7e5be51-70d0-425a-af9b-8537655dd05f · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Loops in 4+ 1d topological phases
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3ddb8221-f586-4dbd-a365-bc7454ef2098 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Higher cup products on hypercubic lattices: Application to lattice models of topological phases
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7acb2021-df5e-44bd-8206-cb890c589bb3 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Cross, David P
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6ae9f1ab-4e59-48ae-af99-86bec79e11c2 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Topological quantum memory
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 208e7e35-0f58-494b-8e94-86e27b3f6d78 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes High-threshold universal quantum computation on the surface code
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6c901754-ffb4-4dbb-86a8-a31e133d218d · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Building manifolds from quantum codes
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2fc482ac-5132-4af2-807b-60e6dd6f6ec3 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Topological quantum computation
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb1b4c03-a249-40f4-a034-4053739837a2 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Z2-systolic freedom and quan- tum codes
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6c65e5af-a68a-415d-9119-cfbf35f2ce72 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes How to factor 2048 bit RSA integers with less than a million noisy qubits
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0903567-cae1-4673-858f-f6cc77672a3f · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes High-performance fault-tolerant quantum computing with many- hypercube codes
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d64811cb-e9ed-41ff-8a84-b8ca81c4d9f5 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Multiscale architecture for fast optical addressing and control of large-scale qubit arrays
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f8e7ed9e-c0b8-4ecd-929a-230afd4a6eb0 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Hastings
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dcd2a8c5-660b-4a33-a499-003601f01604 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Fiber bundle codes: break- ing the n 1/2 polylog (n) barrier for quantum ldpc codes
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 86fde2de-1419-4f26-8908-2064a3eac78f · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Space-time optimized table lookup, 2022
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef83ecc4-8ca4-4dd1-a74a-fbd63ff82b36 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Quantum error correction with imperfect gates
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4fd847a1-0afb-4bff-9b6a-d2708200e2f2 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Fault-tolerant quantum computation by anyons
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e74ab31c-6bc8-4363-be59-e806479392b5 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Fault-Tolerant Postselected Quantum Computation: Schemes
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf837211-f484-4a24-b707-9795669accb5 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Realizing repeated quantum error correction in a distance-three surface code
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d887a627-883e-47ee-8970-5d566de32742 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 281dccba-4a79-4b9f-a897-fcb4292e7580 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4868fa36-9b03-40c8-8e26-e362a6bbea8c · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1194784-e88e-4f54-b4d8-79de597b93ff · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Magic State Distillation: Not as Costly as You Think
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b65e5781-bbf4-4340-b684-9134ce72d40a · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Computing efficiently in QLDPC codes
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2459e63a-c5a0-45cc-a945-f4d590b4b2ee · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Compare the Pair: Rotated vs. Unrotated Surface Codes at Equal Logical Error Rates
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34c8e9df-37f4-41ec-8403-9fc53419943a · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Degenerate quantum LDPC codes with good finite length performance
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3bb1ebd5-24bf-427c-899e-9a8c9d0d44b0 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes LDPC: Python tools for low density parity check codes, 2022
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 406dc1f9-940d-437e-934f-0a31d8e4e432 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes White, Simon Burton, and Earl Campbell
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 99bf0663-5bd0-4f3e-88a5-546491c47217 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes A flow-map model for analyzing pseudothresholds in fault-tolerant quantum computing
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c33f9f79-ba8b-4bb4-b1df-92a194fc09a9 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes A pair of generators for the unimodular group.Canadian Mathematical Bulletin, 5(3):245–252, 1962
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 17642658-501d-4f48-8303-9d3604186f18 · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Demonstration of low-overhead quantum error correction codes
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51a4e5b0-9673-4a6b-94aa-ce510cf1900c · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Quantum orders in an exact soluble model
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a913e2e7-0313-4e1f-b38b-b71e5e5323db · outbound
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Resource analysis of low- overhead transversal architectures for reconfigurable atom arrays
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61e644c0-567b-4fd6-9100-95323718c079 · inbound
Optimising Quantum Error Correction Using Morphing Circuits A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1d1fbf27-f97b-45e7-86ec-fdc5646fc11b · inbound
Novelty-Based Generation of Continuous Landscapes with Diverse Local Optima Networks A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c584424e-000c-49e9-9732-5700220497be · inbound
LightStim: A Framework for QEC Protocol Evaluation and Prototyping with Automated DEM Construction A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ca510e7-5976-4320-ada7-1f0f42d5dc2c · inbound
Plaquette: A hardware-aware design platform for fault-tolerant quantum computers A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6f246a26-2a89-43f3-a1e2-c184e81cad58 · inbound
Floquet Abelian Multicycle Codes A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.