Asymptotic magic state distillation with almost linear rate | Paper Citation Record

Observation 2d038f5a-b705-42e9-97f7-dbd58a84b3ee · 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 𝑎𝑛 in the limit of 𝜀𝑛 − − − − → 𝑛→∞ 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 𝑎𝑛 in the limit of 𝜀𝑛 − − − − → 𝑛→∞ 0

Reference 1

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

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

This paper cites Bravyi and A.

Asymptotic magic state distillation with almost linear rate Bravyi and A

Reference 2

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

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

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

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

This paper cites Itogawa, Y.

Asymptotic magic state distillation with almost linear rate Itogawa, Y

Reference 4

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

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

Resolution: verified exact; local_arxiv, observed 2026-06-29T06:43:10.099380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites Haah and M.

Asymptotic magic state distillation with almost linear rate Haah and M

Reference 6

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

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

This paper cites Distillation with sublogarithmic overhead.

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

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-06-29T14:33:31.459194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites Constant-Overhead Magic State Distillation.

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

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.072609Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.056972Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.075747Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-06-29T06:43:10.104698Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.092064Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:33:31.450992Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-06-29T06:43:10.097094Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

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

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:33:31.471708Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 17

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

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

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 18

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

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.094707Z

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

This paper cites Prakash and T.

Asymptotic magic state distillation with almost linear rate Prakash and T

Reference 20

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

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

This paper cites Qutrit Magic State Distillation.

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

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-06-29T14:33:31.461919Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites Bravyi and J.

Asymptotic magic state distillation with almost linear rate Bravyi and J

Reference 22

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

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

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 23

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

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

This paper cites Horodecki, P.

Asymptotic magic state distillation with almost linear rate Horodecki, P

Reference 24

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

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

This paper cites an unresolved cited work.

Asymptotic magic state distillation with almost linear rate Unresolved cited work

Reference 25

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

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

This paper cites Bravyi and J.

Asymptotic magic state distillation with almost linear rate Bravyi and J

Reference 26

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

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.084071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.087193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: malformed identifier; doi_truncated, observed 2026-06-29T06:43:10.089281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-06-29T06:43:10.080983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:33:31.468978Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites Fold-transversal surface code cultivation.

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

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.102092Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.054234Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.059683Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.067855Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:43:10.064708Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a50144bf-31c8-43be-9522-08a4d195649b · 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 2026-08-15T06:32:42.880941+00:00.

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

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

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3a4dc70-c756-41db-9ebf-412c1be868a1 · 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 2026-08-15T06:32:42.880941+00:00.

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

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

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

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

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

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

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

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

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

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

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

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

This paper cites Our protocol consists of two parts: the pre-distillation part based on the 15→1 protocol, and the part that achieves 𝜀out →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 15→1 protocol, and the part that achieves 𝜀out →0 using a large inner code and outer code

Reference 53

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

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

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

Reference 54

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

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

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

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