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Paper Citation Record · LEDGER

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors

As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.16450.

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

pith.paper-citation-record.v1
2412.16450 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:45:20.342100Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

37 of 37 outbound references displayed

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  • verified fuzzy9
  • unresolved22
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

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Outbound references

Observation 5c96a4a4-5e62-402b-a8f3-494ccc171b1e · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 1

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Observation 34191d9a-b5a3-4ab8-a4c8-9bbd315ac349 · outbound

This paper cites stabilizer,.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors stabilizer,

Reference 2

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Observation 17697e75-e411-4f05-90f6-5716c3109dcb · outbound

This paper cites Mathematically: ( ˆI ⊗ ⟨0|) ˆCY(θ)(|ψ⟩ ⊗ |0⟩) = (|0⟩ ⟨0| + cos θ 2 |1⟩ ⟨1|) |ψ⟩ , (11) ˆX( ˆI ⊗ ⟨1|) ˆCY(θ)(|ψ⟩ ⊗ |0⟩) = (sin θ 2 ˆY |0⟩ ⟨1|) |ψ⟩.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Mathematically: ( ˆI ⊗ ⟨0|) ˆCY(θ)(|ψ⟩ ⊗ |0⟩) = (|0⟩ ⟨0| + cos θ 2 |1⟩ ⟨1|) |ψ⟩ , (11) ˆX( ˆI ⊗ ⟨1|) ˆCY(θ)(|ψ⟩ ⊗ |0⟩) = (sin θ 2 ˆY |0⟩ ⟨1|) |ψ⟩

Reference 3

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Observation cfead57c-28d7-4d4c-b43f-e6c5ff1e417c · outbound

This paper cites Hard decoding algorithm for optimizing thresholds under general markovian noise.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Hard decoding algorithm for optimizing thresholds under general markovian noise

Reference 4

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Observation f5b29a33-0d11-4078-a7df-67716c8d7160 · outbound

This paper cites Correcting coherent errors with surface codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Correcting coherent errors with surface codes

Reference 5

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source=pdf_text observed=2026-08-11T10:45:20.222402Z digest=sha256:33e9ee193004b5be6e3ab8288821a0bb0cf4a36784e774d51eecdcd05208faa7

Observation d0ea0706-7b10-4987-8bdc-2ff1060e5e9d · outbound

This paper cites Debroy, Muyuan Li, Michael Newman, and Kenneth R.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Debroy, Muyuan Li, Michael Newman, and Kenneth R

Reference 6

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correction dated 2018-12-18. Source: crossref record 10.1103/physrevlett.121.250502->10.1103/physrevlett.121.250502:correction, observed 2026-07-11T02:55:59.358451+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-11T10:45:20.226598Z digest=sha256:6bdc33ceb87b3959c5cea808f31978384c07409ed90bf491a161a6455c5bb890

Observation 7b239c6b-1ed5-4b0d-bc56-223e3d21c63a · outbound

This paper cites Asb´ oth.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Asb´ oth

Reference 7

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source=pdf_text observed=2026-08-11T10:45:20.230837Z digest=sha256:8a26a5d09005d96fd413cfadca972fee5fa81d23d24ee4999d7dd49cf9d7f97d

Observation 232f32f4-8f35-44af-9e47-ff4f3ce627c2 · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-11T10:45:20.234851Z digest=sha256:f4ea0ffda78794801d543ad3c931b13f1a67d2ea2015e492512e0dc3ac0d0478

Observation 2b8c1c14-b35e-494b-8d26-16e9fae70d43 · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 9

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Observation f05bf19f-4a26-49d6-9176-41c0be5391d3 · outbound

This paper cites Quantum error-correcting codes for qudit amplitude damping.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Quantum error-correcting codes for qudit amplitude damping

Reference 10

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source=pdf_text observed=2026-08-11T10:45:20.243371Z digest=sha256:09c0f741c2cb8c118e7a0acd21d591e9d5bcc185ea03a97c28988fe114d206e8

Observation 3a416191-bea2-46f4-b929-11da9c116257 · outbound

This paper cites Quantum information processing with bosonic qubits in circuit qed.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Quantum information processing with bosonic qubits in circuit qed

Reference 11

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source=pdf_text observed=2026-08-11T10:45:20.246909Z digest=sha256:cc4883da85c09f66b59bfa3f27037afc5d61ffabf0d418982685c334039c383f

Observation 83246b56-1ce8-4241-820f-754de24272b5 · outbound

This paper cites Bennett and Gilles Brassard.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Bennett and Gilles Brassard

Reference 12

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Observation 81996953-8b9f-4ed2-9eee-674a0d21462d · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-11T10:45:20.268860Z digest=sha256:3ceae5db365a864a19b00d1102ff7ed55e3410550f2789dfdbaf92be152e08e2

Observation dee01c65-75f7-4d39-bee8-7dfb8116a562 · outbound

This paper cites Abrams, Jonathan P.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Abrams, Jonathan P

Reference 14

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source=pdf_text observed=2026-08-11T10:45:20.257960Z digest=sha256:d8b06c973204b8d47bd2b8b44cc1c0c22bb222a0ff9b084db0e27f954ee678c2

Observation 1126b26c-2f24-420b-89e1-f3e468e42f8b · outbound

This paper cites Assessing the performance of quantum repeaters for all phase- insensitive gaussian bosonic channels.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Assessing the performance of quantum repeaters for all phase- insensitive gaussian bosonic channels

Reference 15

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verified exact
doi, observed 2026-08-11T10:45:20.429954Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b323f14d-32c2-4858-b790-97ab7943ea7d · outbound

This paper cites Quantum repeaters based on concate- nated bosonic and discrete-variable quantum codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Quantum repeaters based on concate- nated bosonic and discrete-variable quantum codes

Reference 16

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source=pdf_text observed=2026-08-11T10:45:20.265261Z digest=sha256:1af44e58c68c0c13417b1ddaf67c986d4bacfe2e3a978dad0b745b2507467da0

Observation 8c183544-4e0d-477b-9173-45ab15fe3c4b · outbound

This paper cites Avoiding coherent errors with ro- tated concatenated stabilizer codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Avoiding coherent errors with ro- tated concatenated stabilizer codes

Reference 17

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source=pdf_text observed=2026-08-11T10:45:20.283927Z digest=sha256:21d209f989eb2fde6acf43cb1c73406debd553b826a4237a53fa459ae606adb0

Observation 4691d014-d0d1-45e1-850b-211909ff5eae · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e7367675-5f99-4886-b7be-c79939031fbd · outbound

This paper cites Theory of quantum error-correcting codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Theory of quantum error-correcting codes

Reference 19

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Observation 89e070b5-7a95-462a-97a0-78f10f2b9200 · outbound

This paper cites Knill, R.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Knill, R

Reference 20

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source=pdf_text observed=2026-08-11T10:45:20.280128Z digest=sha256:6268ea3fb124f940dfff0f353fd4105373e7258db1ab02e6d164ec109aad030a

Observation 073f510b-7879-4c4a-956f-81776631835d · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-11T10:45:20.297681Z digest=sha256:6b0a6ee88d2c3b8e1b4d65162da3bc9cf413fa134d968a1f9861bdbee2ada31a

Observation d9733a0a-943b-4b0a-b40c-3f3053a2d3be · outbound

This paper cites Mitigating coherent noise by balancing weight-2 z-stabilizers.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Mitigating coherent noise by balancing weight-2 z-stabilizers

Reference 22

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source=pdf_text observed=2026-08-11T10:45:20.287239Z digest=sha256:c2c61d132cfc6833c680fd59c50327ea873dbe2250e02c549db747b3e7e54c4a

Observation 13c581cf-fba6-4f1f-8795-bb247c6334b5 · outbound

This paper cites Multi-error-correcting amplitude damping codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Multi-error-correcting amplitude damping codes

Reference 23

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Observation 9da9eefa-785e-4678-a7f6-468060fb11cf · outbound

This paper cites Quantum dual extended hamming code immune to collective coherent errors, 2025.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Quantum dual extended hamming code immune to collective coherent errors, 2025

Reference 24

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source=pdf_text observed=2026-08-11T10:45:20.294219Z digest=sha256:73e3f25577b494ac87c3619cb8b44c560cd792bec015cd0945089c3715392ab7

Observation 374b5f31-23b6-4d27-8ae7-5fa6e524f82b · outbound

This paper cites High-rate extended binomial codes for multi-qubit encoding, 2025.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors High-rate extended binomial codes for multi-qubit encoding, 2025

Reference 25

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Observation a1955280-48d5-44eb-910e-85f965d35d09 · outbound

This paper cites Gottesman.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Gottesman

Reference 26

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.301173Z digest=sha256:72ee7a8e6ab0a4b65685594c96656b6020ac2791f3e542106ac2a0e6a355d059

Observation 45f8b67f-ce9f-4ee2-bfff-563adf098321 · outbound

This paper cites Fletcher, Peter W.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Fletcher, Peter W

Reference 27

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source=pdf_text observed=2026-08-11T10:45:20.305053Z digest=sha256:62388daa8b4bc0e2a7f5e3a93eca356109a226afcf885b666fe0b67621b5bce2

Observation b38659dd-7381-429b-82fb-d44cba3e0e9a · outbound

This paper cites Reichardt.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Reichardt

Reference 28

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source=pdf_text observed=2026-08-11T10:45:20.309058Z digest=sha256:d726805cd86a9827459bdc5e4e48eccf1296a8d7e9b7dcd025f3fca836db3c34

Observation 27d1a69c-08df-4ff8-b60f-832ab8a6a76d · outbound

This paper cites Leung, M.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Leung, M

Reference 29

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source=pdf_text observed=2026-08-11T10:45:20.327408Z digest=sha256:0bb5324f5c5ac3c7481e6350a80e276a10d981177c711a66a70a4446c1e71187

Observation aaa8840d-b13b-4baa-aaf6-5787260a2901 · outbound

This paper cites Operator quantum error-correcting subsystems for self-correcting quantum memo- ries.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Operator quantum error-correcting subsystems for self-correcting quantum memo- ries

Reference 30

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source=pdf_text observed=2026-08-11T10:45:20.316345Z digest=sha256:bce4605c78ba3d204a56c0bbda12062a2184e8f6653f9f11000a4d3ccc557e49

Observation 4e8aa3f4-f483-4bf6-bc8b-bd6fd4bab96d · outbound

This paper cites Subsystem codes with spatially local gen- erators.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Subsystem codes with spatially local gen- erators

Reference 31

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.319902Z digest=sha256:280a805b3180ea04513a2e082a9227040d3422616a83a02a5e367bca64b5d143

Observation 1cac75d8-1a91-450b-afd2-94a8b82028e3 · outbound

This paper cites Linear program- ming bounds for approximate quantum error correction over arbitrary quantum channels.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Linear program- ming bounds for approximate quantum error correction over arbitrary quantum channels

Reference 32

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metadata mismatch
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.323700Z digest=sha256:8205922e036dfc00c37d2528cb2f70ea99850a254a63483d14c547ec81b51594

Observation ae6fa83d-03ec-41b4-90b9-5c502c46934f · outbound

This paper cites an unresolved cited work.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Unresolved cited work

Reference 33

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unresolved
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.342100Z digest=sha256:0d091aa691d1a01c7a466bbf1266ee3b2dafea6e0e04203c905f3b5487d4fee6

Observation 94a929e1-2a96-42dc-8f28-b31409850e92 · outbound

This paper cites Bounds on the minimum distance of linear codes and quantum codes.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Bounds on the minimum distance of linear codes and quantum codes

Reference 34

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.330922Z digest=sha256:7468abd1d4d2affdb87e5f811a9a08ee4f831c30cd4eed7ae6b6df5d44f5e61f

Observation 857a0646-bec7-422b-8e8d-0dca6f739a6c · outbound

This paper cites Searching for linear codes with large min- imum distance.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors Searching for linear codes with large min- imum distance

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-11T10:45:20.875530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.334720Z digest=sha256:e7c764f94dfbbe92c85b99db7701beb3ae2f8ab5272ccb2e402049fe5b646bb4

Observation 7ae65b13-8b73-4bf6-be31-652c32015d88 · outbound

This paper cites The Magma Algebra System I: The User Language.Jour- nal of Symbolic Computation, 24(3-4):235–265, October 1997.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors The Magma Algebra System I: The User Language.Jour- nal of Symbolic Computation, 24(3-4):235–265, October 1997

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:45:20.865110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T10:45:20.338643Z digest=sha256:ac2cc747cd1ad9a203159b5e2bf23e2e6f863614e33a96d903b79332df3f64d1

Observation b3babcae-0d05-434a-95fc-8b99b058b166 · outbound

This paper cites URL https://www.sciencedirect.com/science/ article/pii/S0304397514004241.

High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors URL https://www.sciencedirect.com/science/ article/pii/S0304397514004241

Reference 3975

Resolution
unresolved
no resolver link, observed 2026-08-11T10:45:20.254141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.