Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:10.577267Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2506.15905.
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 2026-08-06T23:56:10.577267Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:10.299570Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T23:56:11.025404Z
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 18989d02-bd6b-4192-8670-a1b3e78aa3d5 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes 1 applies, giving a net phase gate of P 2wi q
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 63aec17a-7254-48f8-bc76-5c1b4be75ae9 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6f95929a-0609-4bb1-975c-d30f937c1243 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 17c371c2-0f96-4a68-bf23-ac3f63865224 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ff903ec2-88f3-42bf-b293-9f1951365a5c · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9347e0cc-b12b-45f4-bbb0-ecb0e2d765c1 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes (We have these by Lemma 2.) At the end of step 3, every logical qubit of the ancilla block is in state |+⟩ except for qubit i, which is in the statePwi q |+⟩
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 38ba3455-e2b2-4677-9110-222b0e85a38c · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes 5 = = P P† P 2 Figure 2
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 13220b9b-c8ce-4665-b1b8-76c2cd786604 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Eastin and E
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23b8e4fc-d0ec-4a4d-b544-0f4258b9390a · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bfb98f60-5b90-4258-b398-5eeab4bda6f5 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 902fc66d-3031-49d1-9071-02729fb6690e · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes intra-block gates inter-block gates [[n,k,d ]] code block Figure 3
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9048ed13-e986-41c6-992a-f31e751bc697 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes local code
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation eeef8ae4-94ec-4f61-8cc1-56a4f37c51d9 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Classification of topologically protected gates for local stabilizer codes
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46e1e043-1132-4fdb-95a0-4f99f1e4a612 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4562a656-74b6-460c-96bf-738c8ba2b7d8 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Aliferis, D
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1eac2867-8aa0-460b-a698-a05190367517 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Subsystem fault tolerance with the Bacon-Shor code
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a6b195d3-1a63-4ba8-9d48-1614512b94f7 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a792c74e-b7f6-4a1a-a5a4-92455ff2b6cf · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Knill, Quantum computing with realistically noisy de- vices, Nature 434, 39 (2005)
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46311140-5b5e-410b-b8f5-768e66528cb6 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Dennis, A
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f75193c8-d936-4d64-a0e6-a3453a7f7574 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Local Decoders for the 2D and 4D Toric Code
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f044c018-ec32-4d7a-ac80-29357c29387e · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Gates for Highly Asymmetric qLDPC Codes
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 22b84a9a-9921-4ae8-88c5-456e09b802b2 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes The Solovay-Kitaev algorithm
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a780bf61-5992-40b0-9d83-7712ae1fa870 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cac1431b-5fa1-432d-a24f-570ac04ad3a6 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes A Framework for Approximating Qubit Unitaries
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4dbb1e5d-6405-4145-ac86-79288c326384 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1a1bb133-3838-46a0-80e7-73a4dad21bda · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes For the transpose Tanner codes of Section IV, assume that we have some initial code A0 which is an m×n matrix with row totals s and column totals c, meaning that ms = nc
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9a87d3ce-822a-4429-969a-30b54a35bcbb · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Tradeoffs for reliable quantum information storage in 2D systems
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e631e742-11a8-496a-b54b-0222243d605d · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Bluvstein, S
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation faa88061-f7f7-4870-a8b4-cd5480393db1 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91c1ffd2-5e96-4289-9089-3b2a7eeedbaa · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e0399cf0-ed60-4132-8112-fd972d45ca1f · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Asymptotically Good Quantum and Locally Testable Classical LDPC Codes
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e82fd74-f91a-4838-bbed-ef36f4b3c92a · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Quantum LDPC Codes with Almost Linear Minimum Distance
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b76f64b-81b3-4538-baa9-b477e985c311 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Good Quantum LDPC Codes with Linear Time Decoders
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f5214d9-2712-450c-91c4-a36b0f46ac13 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e35ee879-2755-4bee-a8fa-0d6211cec91d · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Bravyi, A
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4784fb2-1678-4ff3-bb07-33aaeb2df92e · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Fault-Tolerant Quantum Computation with Constant Overhead
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 895d43ec-b9e3-4e78-8eb4-6ab672914965 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98461286-8427-44c8-921c-f29827127e67 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Constant overhead quantum fault-tolerance with quantum expander codes
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4276cc29-a609-4f0d-a474-c7dad3bd466c · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Limitations on transversal gates for hypergraph product codes
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e2d6f7d-d077-4295-a697-066a0affcb20 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8f4580af-083b-4e93-9e68-1f557c9b0f11 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Krishna and D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6d9f1404-f3a3-4df1-b6c3-2ba38a7c1359 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Implementing Clifford Gates on Stabilizer Codes via Measurement
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b5528966-ec07-4d7b-b8da-7df87c09f91c · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Demystifying the Balanced Product Code: A Review
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ae3d880f-f4e3-41f2-88bf-38fa2961a44c · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Diagonal Logical Operators for Stabiliser Codes
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dc24fe83-a8a7-4dc4-acfb-2e09a36c46cd · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes The Smallest Code with Transversal T
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c3bef83-232e-41cc-b704-b9c8dbaabf5a · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8b001a0-3159-45f2-a274-dadee3494b87 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Raussendorf and H
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8660c5b4-a94c-4fb7-94d6-8eea03a7d595 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b64fbc10-ff17-46a5-91de-fb042fd89029 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Tanner, A recursive approach to low complexity codes, IEEE Transactions on Information Theory27, 533 (1981)
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fcd8106-34d5-4f76-b54a-10b16d6a9049 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes They could turn out just to be stabilizers and of no concern, but we will see this is not they case
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c8fd5acf-0f22-4467-bdb8-d507d650ffeb · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ce936209-373a-479a-b862-35c6169e8350 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Kay and H
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4ca96f73-94c6-4de9-a985-fc533c51d898 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes This can be quite restrictive
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b3006cb-e573-4644-abce-17c7beb48167 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Lubotzky, R
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 658e44c6-63ef-476d-a6fa-7f6f3d7450af · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 26f8e208-500b-47b9-8c79-b4631bda2981 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 66a8cf5c-61be-414b-bcc8-6896aef608f9 · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2de5371f-54a4-4ed7-9736-3619546d5c7f · outbound
Transversal Gates for Highly Asymmetric qLDPC Codes Yamasaki and M
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f044c018-ec32-4d7a-ac80-29357c29387e · inbound
Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Gates for Highly Asymmetric qLDPC Codes
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.