Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:19:55.893100Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2601.22489.
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 2026-08-04T06:19:55.893100Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
41 of 41 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a638e66b-0813-4421-a999-5cb07e5ab782 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 1
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Observation 369bc112-3f2f-4bdc-a78c-2918731e1a5f · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 2
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Observation f326182f-4d58-4f6b-b042-b88ebdeb784d · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 3
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Unavailable: canonical work link unavailable.
Observation 60b6a472-5515-4489-9361-a9a519b11387 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 4
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Unavailable: canonical work link unavailable.
Observation a8799158-d1e9-4569-a6f7-4a0d4ec54ecf · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Then there exists a subcollectionT ⊆ Ssuch that: •each coordinatei∈[n]belongs to at most one sup- portS t witht∈ T; •|T | ≥ |S|/(M bn)
Reference 5
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Unavailable: canonical work link unavailable.
Observation d127a2fa-1a88-4e62-b05b-de192d472c2b · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits 1 2 3 4 x y z FIG
Reference 6
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Unavailable: canonical work link unavailable.
Observation 2f8cb179-941e-4798-9744-f381522bb90b · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 7
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Unavailable: canonical work link unavailable.
Observation 80a1e279-53e3-47c7-9438-17b3c50c4717 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 8
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Unavailable: canonical work link unavailable.
Observation a322e398-4129-4a1d-a87c-31839281a7a6 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 9
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Observation 289332d3-66b7-4cb4-b3e0-daf5910e1437 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits This suggests a new interface between quantum coding theory and the expanding toolbox of expander and Tanner- code techniques [14, 15]
Reference 10
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Unavailable: canonical work link unavailable.
Observation 0925c571-6581-401e-a7c1-bca91ad51dd3 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Weexpectthesamepatterntoapplyto more general multi-controlled-Zmagic-state facto- ries and to other families of product-based qLDPC codes
Reference 11
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Unavailable: canonical work link unavailable.
Observation 0e37c300-9a60-42c7-b5d8-5487e577b4f1 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 12
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Unavailable: canonical work link unavailable.
Observation a2e35b0b-4ecd-4a3f-aa49-be9bcf953853 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits We stop when no triple with support contained in the unused coordinates remains
Reference 13
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Unavailable: canonical work link unavailable.
Observation 3289bd18-1cfc-41a8-8a79-24dcbf6c444f · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Fault Tolerant Quantum Computation with Constant Error
Reference 14
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Unavailable: canonical work link unavailable.
Observation 19bcfa0f-216c-4090-9ac4-36110da8637f · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 15
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Unavailable: canonical work link unavailable.
Observation 17671c3a-1c3c-4e7d-963a-b84cce1d3444 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Knill, R
Reference 16
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Observation 9a7be662-305d-4b75-b4aa-cfa6ec8da9e0 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum accuracy threshold for concatenated distance-3 codes
Reference 17
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Unavailable: canonical work link unavailable.
Observation fa0598d6-4702-4587-9c82-bca4c0eb0f1c · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 18
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Unavailable: canonical work link unavailable.
Observation f1512b54-9de3-4113-bf02-dd9934fddaa7 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Topological Quantum Distillation
Reference 19
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Unavailable: canonical work link unavailable.
Observation de5face8-9d85-4a01-a806-583002d5c229 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Universal transversal gates with color codes - a simplified approach
Reference 20
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Unavailable: canonical work link unavailable.
Observation 5e10f8c7-b9fa-4017-9e58-ddfcba54544a · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Universal Quantum Computation with ideal Clifford gates and noisy ancillas
Reference 21
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Unavailable: canonical work link unavailable.
Observation 3abce2fb-798c-4ddc-8aed-8d44efe957c4 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Magic state distillation with low overhead
Reference 22
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Unavailable: canonical work link unavailable.
Observation d75f3ce1-7faa-4b4d-8711-14501ae75626 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits A unified framework for magic state distillation and multi-qubit gate-synthesis with reduced resource cost
Reference 23
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Unavailable: canonical work link unavailable.
Observation eb1693b3-bab9-4774-a8ea-7ffc44a57da9 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Efficient magic state factories with a catalyzed |CCZ> to 2|T> transformation
Reference 24
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Unavailable: canonical work link unavailable.
Observation af321f80-458e-4f72-805d-aa05502087ac · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization
Reference 25
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Unavailable: canonical work link unavailable.
Observation 4096c873-00f3-4996-b85e-43f6ad44e016 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum and Locally Testable Classical LDPC Codes
Reference 26
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Unavailable: canonical work link unavailable.
Observation 5d7257a4-f562-443f-96d8-b4091f1867c2 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum Tanner codes
Reference 27
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Observation 6c279eab-2503-4b26-9c39-010ba9aacf12 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum Low-Density Parity-Check Codes
Reference 28
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Unavailable: canonical work link unavailable.
Observation 25f0273a-cb94-4ac1-8ed0-1a4114a14b78 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Bravyi, A
Reference 29
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Observation 7215a365-fc45-4ecc-b89b-b384b251d0aa · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits High-rate quantum LDPC codes for long-range-connected neutral atom registers
Reference 30
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Observation d572f983-6f09-42bf-9edc-d972857ae567 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Fast and Parallelizable Logical Computation with Homological Product Codes
Reference 31
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Unavailable: canonical work link unavailable.
Observation c893da90-cee7-4911-82db-2ba9ca47fc3e · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Enumeration of three-quadrant walks via invariants: some diagonally symmetric models
Reference 32
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Unavailable: canonical work link unavailable.
Observation 766d6135-0522-46d7-b406-c2535fd53c22 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Constant-overhead quantum error correction with thin planar connectivity
Reference 33
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Unavailable: canonical work link unavailable.
Observation 4ecf5376-c122-49ea-8195-5f5047de141d · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates
Reference 34
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Observation bb406530-b701-4925-80d1-1e874e05f1fb · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes
Reference 35
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Observation 4ff72a66-6861-4e68-8725-4690bc7525b4 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Transversal non-Clifford gates for quantum LDPC codes on sheaves
Reference 36
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Observation 9459918a-68e8-4783-87ef-26899f84025c · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates
Reference 37
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Observation 4a1f18f5-26ac-43cf-8210-ee6372ce7ea0 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 38
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Observation 00fc468f-b13e-4aa0-9ab9-dae5655cfe37 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work
Reference 39
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Observation 248d790b-ea63-4f4c-be65-83335db3b38b · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Bravyi and R
Reference 40
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Observation 6e05e44b-1580-48f3-b853-4d887a7800b4 · outbound
Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Pastawski and B
Reference 41
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No inbound Pith citation observations are available.