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Paper Citation Record Β· LEDGER

Asymptotic magic state distillation with almost linear rate

As of 16 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2605.30108.

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

pith.paper-citation-record.v1
2605.30108 v1

Coverage vector

measured 56 of 56 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-29T06:34:52.171335Z

measured 56 of 56 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

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Reference resolution

56 of 56 outbound references displayed

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  • verified fuzzy0
  • unresolved30
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  • malformed identifier1
  • metadata mismatch0

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Outbound references

Observation 2d038f5a-b705-42e9-97f7-dbd58a84b3ee Β· outbound

This paper cites Conversely, if the linear asymptotic rate is nonzero, it must be the case that 𝛾=0 because any 𝛾 >0 results in the diverging overhead 𝑛 π‘Žπ‘› in the limit of πœ€π‘› βˆ’ βˆ’ βˆ’ βˆ’ β†’ π‘›β†’βˆž 0.

Asymptotic magic state distillation with almost linear rate Conversely, if the linear asymptotic rate is nonzero, it must be the case that 𝛾=0 because any 𝛾 >0 results in the diverging overhead 𝑛 π‘Žπ‘› in the limit of πœ€π‘› βˆ’ βˆ’ βˆ’ βˆ’ β†’ π‘›β†’βˆž 0

Reference 1

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Observation 89f07535-f00b-48f9-83f8-e10303375380 Β· outbound

This paper cites Bravyi and A.

Asymptotic magic state distillation with almost linear rate Bravyi and A

Reference 2

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Observation e4698de2-21ab-4ad5-87f6-c6477c7fd04d Β· outbound

This paper cites Goto,Step-by-step magic state encoding for efficient fault- tolerant quantum computation,Scientific Reports4, 7501 (2014).

Asymptotic magic state distillation with almost linear rate Goto,Step-by-step magic state encoding for efficient fault- tolerant quantum computation,Scientific Reports4, 7501 (2014)

Reference 3

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Observation 6f285c30-b030-4c02-9e67-18f61c98d73b Β· outbound

This paper cites Itogawa, Y.

Asymptotic magic state distillation with almost linear rate Itogawa, Y

Reference 4

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Observation f4171823-5dcd-448f-8586-e66e7237e4a6 Β· outbound

This paper cites Magic State Distillation at Intermediate Size.

Asymptotic magic state distillation with almost linear rate Magic State Distillation at Intermediate Size

Reference 5

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Observation b82a9da3-b092-4b5b-afe5-8272b59d0175 Β· outbound

This paper cites Haah and M.

Asymptotic magic state distillation with almost linear rate Haah and M

Reference 6

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Observation b2c21dc5-695f-4948-8948-c9e35d549764 Β· outbound

This paper cites Distillation with sublogarithmic overhead.

Asymptotic magic state distillation with almost linear rate Distillation with sublogarithmic overhead

Reference 7

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Observation c8b83e5d-abef-486b-a04d-643f052000b7 Β· outbound

This paper cites Constant-Overhead Magic State Distillation.

Asymptotic magic state distillation with almost linear rate Constant-Overhead Magic State Distillation

Reference 8

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Observation ec0a9f88-42b4-4359-905a-a5191acf297a Β· outbound

This paper cites arXiv preprint arXiv:2408.13130 (2024).

Asymptotic magic state distillation with almost linear rate arXiv preprint arXiv:2408.13130 (2024)

Reference 9

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:e1eec156ae60e0fdb803a5c5a41e4883f7d0e662a4fa448496001ce862d3530d

Observation 2dcd6d12-5e75-488d-b3f1-0c74d8d57085 Β· outbound

This paper cites Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates.

Asymptotic magic state distillation with almost linear rate Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates

Reference 10

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Observation 5393f629-d5d7-4169-9acc-53cdbc192622 Β· outbound

This paper cites Magic-state distillation with the four-qubit code.

Asymptotic magic state distillation with almost linear rate Magic-state distillation with the four-qubit code

Reference 11

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Observation 1a8e91ec-0d74-47e2-98bd-5b8cb9458684 Β· outbound

This paper cites Good binary quantum codes with transversal CCZ gate.

Asymptotic magic state distillation with almost linear rate Good binary quantum codes with transversal CCZ gate

Reference 12

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:b76dee82a30cc33b71bf4c0b0bc3a34c3f0a6676e317312ab5450ce4438700b3

Observation 406d8626-979f-4780-80da-0a23733cefc9 Β· outbound

This paper cites Towards low overhead magic state distillation.

Asymptotic magic state distillation with almost linear rate Towards low overhead magic state distillation

Reference 13

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Observation 9ef13ed3-7d56-45a0-868e-1d92ab05fe2e Β· outbound

This paper cites Magic state distillation with punctured polar codes.

Asymptotic magic state distillation with almost linear rate Magic state distillation with punctured polar codes

Reference 14

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Observation 82606fee-e9b8-4bb0-8b9c-26ae617103df Β· outbound

This paper cites Litinski,Magic State Distillation: Not as Costly as You Think, Quantum3, 205 (2019).

Asymptotic magic state distillation with almost linear rate Litinski,Magic State Distillation: Not as Costly as You Think, Quantum3, 205 (2019)

Reference 15

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Observation 87da2ba0-f4d2-4e9f-be59-016b1a79e4d9 Β· outbound

This paper cites Magic State Distillation with the Ternary Golay Code.

Asymptotic magic state distillation with almost linear rate Magic State Distillation with the Ternary Golay Code

Reference 16

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Observation 734654ce-66fb-46cb-864e-b26f2478a9a1 Β· outbound

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Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 17

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Observation 9f39e0a3-9ece-4463-93b2-16a27d0f7cf5 Β· outbound

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Asymptotic magic state distillation with almost linear rate Unresolved cited work

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Observation 38eb8534-5c89-4ae9-8be9-e972b6f0fe57 Β· outbound

This paper cites arXiv preprint arXiv:2501.10163 , year=.

Asymptotic magic state distillation with almost linear rate arXiv preprint arXiv:2501.10163 , year=

Reference 19

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:ef41e88b96ad18e12fb4888c0d1aef4f0e400aa2bd57780ed4bae8b7ef8ada2b

Observation add22f50-a44d-41cb-8250-aa0ce690256d Β· outbound

This paper cites Prakash and T.

Asymptotic magic state distillation with almost linear rate Prakash and T

Reference 20

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Observation d7d48c57-f398-40a4-8733-c81ed7b2990c Β· outbound

This paper cites Qutrit Magic State Distillation.

Asymptotic magic state distillation with almost linear rate Qutrit Magic State Distillation

Reference 21

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Observation 23126583-4127-409c-b989-b81c95ee8c54 Β· outbound

This paper cites Bravyi and J.

Asymptotic magic state distillation with almost linear rate Bravyi and J

Reference 22

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Observation 9b99ec45-6cfe-42e3-a89d-faa126152447 Β· outbound

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Asymptotic magic state distillation with almost linear rate Unresolved cited work

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Observation 6b8d0859-ae28-48b1-b389-30e4490e2c8d Β· outbound

This paper cites Horodecki, P.

Asymptotic magic state distillation with almost linear rate Horodecki, P

Reference 24

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Observation 4c0c047c-c012-4aab-828e-52e79973a0cb Β· outbound

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Asymptotic magic state distillation with almost linear rate Unresolved cited work

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Observation 0be888a0-5fe5-4eab-a0ca-ba09a669fe5d Β· outbound

This paper cites Bravyi and J.

Asymptotic magic state distillation with almost linear rate Bravyi and J

Reference 26

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Observation 7674a548-8e4a-4e3d-b906-caa345ef4928 Β· outbound

This paper cites Triorthogonal Codes and Self-dual Codes.

Asymptotic magic state distillation with almost linear rate Triorthogonal Codes and Self-dual Codes

Reference 27

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Observation e0a87283-8d89-47f9-b959-3fc7cfe42c2d Β· outbound

This paper cites arXiv preprint arXiv:2510.06798 , year=.

Asymptotic magic state distillation with almost linear rate arXiv preprint arXiv:2510.06798 , year=

Reference 28

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Observation 85c85353-7c33-46de-ada0-33a4d7cab4ad Β· outbound

This paper cites 1997.Stabilizer codes and quantum error correc- tion.

Asymptotic magic state distillation with almost linear rate 1997.Stabilizer codes and quantum error correc- tion

Reference 29

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:ebb77be178fb7c10cf46d49350c4ce40593a8c6a1fb8576019a650a21a209bf1

Observation 0a2b4832-83d8-4936-bd4c-789679b1d616 Β· outbound

This paper cites Magic state cultivation: growing T states as cheap as CNOT gates.

Asymptotic magic state distillation with almost linear rate Magic state cultivation: growing T states as cheap as CNOT gates

Reference 30

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:2faa65a70944b7ce3a1d3039e96e13e9867ff828660d4aeb1b00446ff02ac68d

Observation c1389dd3-98df-4621-8ec6-ec36972457c1 Β· outbound

This paper cites Efficient Magic State Cultivation on $\mathbb{RP}^2$.

Asymptotic magic state distillation with almost linear rate Efficient Magic State Cultivation on $\mathbb{RP}^2$

Reference 31

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:258659427e4acdaa714a3ffc98aca66ce9d0d2689d581d5445ba77d7cd6fa731

Observation e07b33b8-dc01-4a17-8974-bdd2e14f2262 Β· outbound

This paper cites Fold-transversal surface code cultivation.

Asymptotic magic state distillation with almost linear rate Fold-transversal surface code cultivation

Reference 32

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Observation 27cdb5ae-7baa-4cc5-8cfd-92b54eeabfc6 Β· outbound

This paper cites Efficient magic state cultivation on the surface code.

Asymptotic magic state distillation with almost linear rate Efficient magic state cultivation on the surface code

Reference 33

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Observation 15e3cc7e-d88a-4356-b6da-bd6ff373d578 Β· outbound

This paper cites Efficient magic state cultivation with lat- tice surgery.

Asymptotic magic state distillation with almost linear rate Efficient magic state cultivation with lat- tice surgery

Reference 34

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source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:c5022769b957b01d5c419913c57cf673dc1e0f65dd19f424b06b265246107039

Observation 4a741671-17fc-4fbb-946f-82511cb7f8bc Β· outbound

This paper cites Claes, Cultivating T states on the surface code with only two-qubit gates (2025), arXiv:2509.05232 [quant- ph].

Asymptotic magic state distillation with almost linear rate Claes, Cultivating T states on the surface code with only two-qubit gates (2025), arXiv:2509.05232 [quant- ph]

Reference 35

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Observation c06c94bc-7ec0-47f1-96b7-a857db07f614 Β· outbound

This paper cites Clifford gates with logical transversality for self-dual CSS codes.

Asymptotic magic state distillation with almost linear rate Clifford gates with logical transversality for self-dual CSS codes

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:ba6a70c6ad311783f3a6677ebd618127b7cc269f4f0e2af63dd32deba3981fa5

Observation a50144bf-31c8-43be-9522-08a4d195649b Β· outbound

This paper cites Quantum Error Detection II: Bounds.

Asymptotic magic state distillation with almost linear rate Quantum Error Detection II: Bounds

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-06-29T06:43:10.078629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:b49cfa7e418b99e9d9880104315d219d0f2492b53ec311b06e0f367a902235f9

Observation bd7c066d-4925-4087-8d7a-0c3285773fdf Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:128ee116136d95a0cfc2e08e63f0f1721c32d86c0fb6f917a876fae41982c40d

Observation f0ffa089-a368-477f-bbda-988e66dc5a8e Β· outbound

This paper cites Furedi, F.

Asymptotic magic state distillation with almost linear rate Furedi, F

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:5f40eafc30d1f4fdaf6788bc56daf409312a6353475ab99f051cf8a158e93fe1

Observation 0dc7b288-7296-466d-ad88-ffac5ce20b7a Β· outbound

This paper cites Lower bounds on the non-Clifford resources for quantum computations.

Asymptotic magic state distillation with almost linear rate Lower bounds on the non-Clifford resources for quantum computations

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:33:31.456415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:cf7edf3854c0c4c8df555ca0f5b428df1b41feb59d729dfe4d0e0953a7bf964d

Observation a3a4dc70-c756-41db-9ebf-412c1be868a1 Β· outbound

This paper cites Efficient magic state factories with a catalyzed |CCZ> to 2|T> transformation.

Asymptotic magic state distillation with almost linear rate Efficient magic state factories with a catalyzed |CCZ> to 2|T> transformation

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-06-29T14:33:31.464832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:3f7a87d907b4a88f9484c5ae7c8c66a2c8b6bcfe51fd76be77e908f7a300bbeb

Observation 176cd5a5-ad4e-4e59-b0a2-1e39e88ac2c9 Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 42

Resolution
parse uncertain
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:52c07fca657b35342276fc412098d3084fb99b9663c8e9db11fd5e0c6d80314d

Observation e01e7dbb-496d-4c21-a531-1459f3bfd246 Β· outbound

This paper cites Input-output count of Hadamard-test type magic state distillation 11.

Asymptotic magic state distillation with almost linear rate Input-output count of Hadamard-test type magic state distillation 11

Reference 43

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:7fff3405adf051eba095929eafdabddb84478b5019d18c11462db3e4d97c3123

Observation 267b6110-fbcc-44c9-ba8e-08fdb18f5119 Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:47ed22f9f0b88681830735138bc6300ce2e5b465f435f1c13de5cb94af0e30bd

Observation 21c05efd-d9e1-4ca6-b246-ee3e78899f9a Β· outbound

This paper cites Finite size distillation 15.

Asymptotic magic state distillation with almost linear rate Finite size distillation 15

Reference 45

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:7c51923324b5de021ac6c8598715be3bcefcb8cb62be216a55ca011357dc623b

Observation b4e0149f-bb38-4719-9f0d-f6dd59b9b716 Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:afafe5abe3aae57a8a3f004aeabc20f192990b6fb6b34bd5cf7cea4111f47f28

Observation 30f5d516-e22b-4c7a-93d0-8492107383da Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:e1d2d233882032e3189ccc495774d59e76f95cae246e2d4cbacaaba0177073ad

Observation c9485abf-b0eb-4167-8d16-cbd53e2a5612 Β· outbound

This paper cites GENERALIZED HADAMARD-TEST TYPE MAGIC STATE DISTILLATION.

Asymptotic magic state distillation with almost linear rate GENERALIZED HADAMARD-TEST TYPE MAGIC STATE DISTILLATION

Reference 48

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:50522e9169c413e6c82fffd26901a0640cfab034c64ff65e306c3cceb92858a5

Observation a22e6898-1ef4-46bf-b93a-f97a916b55c2 Β· outbound

This paper cites The definition and notation of this paper are as follows.

Asymptotic magic state distillation with almost linear rate The definition and notation of this paper are as follows

Reference 49

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:3aba9d2e567e9ac12ecb8eae6d67a960748978b0841987e829f3979256329a6c

Observation 9860f255-5226-418b-89f6-1a1e06ff2516 Β· outbound

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:d31853b6863240a799b6beadbb2cb32edd97fac954bf0a5aef199f6a1b05b289

Observation b1e309fb-ca7a-452c-b3fa-e4aed14ae1d5 Β· outbound

This paper cites Definition 3(Outer code).The outer code serves to detect errors that have escaped into the ancilla system.

Asymptotic magic state distillation with almost linear rate Definition 3(Outer code).The outer code serves to detect errors that have escaped into the ancilla system

Reference 51

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:1d6f4095d198cf2abcf4a5b26c6ec8be20e276ae761a5a0e752e705284c3fafb

Observation 2a213c01-60af-4e75-8bca-58d57a9a67db Β· outbound

This paper cites First, we compute the input count based on FIG.

Asymptotic magic state distillation with almost linear rate First, we compute the input count based on FIG

Reference 52

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:c66f99e45525592cf0c8134898739ffd4599fcc476098c58f45fb1a40dd0edf0

Observation 07f29805-185a-43c9-be8b-e6f3ba8fb896 Β· outbound

This paper cites Our protocol consists of two parts: the pre-distillation part based on the 15β†’1 protocol, and the part that achieves πœ€out β†’0 using a large inner code and outer code.

Asymptotic magic state distillation with almost linear rate Our protocol consists of two parts: the pre-distillation part based on the 15β†’1 protocol, and the part that achieves πœ€out β†’0 using a large inner code and outer code

Reference 53

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:da2d471149caab3ecf50f687242d0cce951e7d6a56ddce3e243c615b76cda224

Observation d4c276a8-0403-498a-9d37-ba0c16191f36 Β· outbound

This paper cites The Reed–Muller code is a [[15,1,3] ] code and admits a transversal 𝑇 gate 𝑇 βŠ—15 = ¯𝑇 here, ¯𝑇 means a logical 𝑇 gate.

Asymptotic magic state distillation with almost linear rate The Reed–Muller code is a [[15,1,3] ] code and admits a transversal 𝑇 gate 𝑇 βŠ—15 = ¯𝑇 here, ¯𝑇 means a logical 𝑇 gate

Reference 54

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:689f65d999a1728c6f38f91d306f765ef07b72402883a422f531ca56c27af224

Observation 31c9d548-63ca-45fa-a090-c110a8830d7b Β· outbound

This paper cites Their strategy does not use post-selection however rather corrects the error.

Asymptotic magic state distillation with almost linear rate Their strategy does not use post-selection however rather corrects the error

Reference 55

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:20bae629231c430826fe358bff5d2f829cba13d30a5d382319de1e6a8dcd00d9

Observation d0974fde-1086-4f0c-ab5b-31d406f3dcac Β· outbound

This paper cites Since our protocol has a sublinear rate, the distillation rate is monotonically decreasing with respect to 𝑛.

Asymptotic magic state distillation with almost linear rate Since our protocol has a sublinear rate, the distillation rate is monotonically decreasing with respect to 𝑛

Reference 56

Resolution
unresolved
no resolver link, observed 2026-06-29T06:34:52.171335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:34:52.171335Z digest=sha256:ee032d225e23a7989b8b67698a495447a8acc23e1c60791ece2b567f6c444721

Pith citing papers

No inbound Pith citation observations are available.