Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:42:17.014738Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2608.13376.
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 2026-08-14T12:42:17.014738Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 24889261-db53-485d-b85c-bbfbc983db5d · outbound
Universal magic state concentration The Heisenberg Representation of Quantum Computers
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73737380-bcdb-4640-af0b-01a6f94c8d5b · outbound
Universal magic state concentration Bravyi and A
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd27eb29-ae8c-40d9-8fde-c9ac59b58999 · outbound
Universal magic state concentration An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4699e139-0a70-4314-8387-2237d0396bf9 · outbound
Universal magic state concentration Bravyi and J
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a5861f2-db3a-48a1-8c3f-e6201523ba1a · outbound
Universal magic state concentration Litinski, Magic state distillation: Not as costly as you think, Quantum3, 205 (2019)
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82c3173b-08e2-4018-9af8-e3897885c426 · outbound
Universal magic state concentration Unresolved cited work
Reference 8
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 98f94b9a-1d5c-4d18-a9da-817ea0a4bb7e · outbound
Universal magic state concentration Quantum universality by state distillation
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22b39d17-bec3-48ae-ab55-42955b56c882 · outbound
Universal magic state concentration Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5bee219-5921-4d97-a3d9-a194c54bc0ee · outbound
Universal magic state concentration Fang and Z.-W
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77576bda-1c38-4dc7-afc8-ac35ded71aea · outbound
Universal magic state concentration Magic-state distillation with the four-qubit code
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3dfd57a-df82-4e57-9d73-8c8cdef384c5 · outbound
Universal magic state concentration Jones, Multilevel distillation of magic states for quantum computing, Physical Review A87, 10.1103/physreva.87.042305 (2013)
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ad30034-dc5d-4a64-93a9-8657a6aeb4e8 · outbound
Universal magic state concentration Krishna and J.-P
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8048ceb2-4539-4919-8a28-d2a12e3c31fa · outbound
Universal magic state concentration Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c03711b7-ad57-4863-9ab6-2f65bc68b15f · outbound
Universal magic state concentration Constant-Overhead Magic State Distillation
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 321de639-d756-4f87-9966-eb31d053ca53 · outbound
Universal magic state concentration Eastin, Distilling one-qubit magic states into toffoli states, Physical Review A87, 10.1103/physreva.87.032321 (2013)
Reference 19
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 670cb4ef-5a8c-4393-9374-24af2691c876 · outbound
Universal magic state concentration Jones, Low-overhead constructions for the fault-tolerant tof- foli gate, Physical Review A87, 10.1103/physreva.87.022328 (2013)
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 164f761d-c7e7-4f72-bf2b-9e0930948fc6 · outbound
Universal magic state concentration Unresolved cited work
Reference 21
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 2597f450-257f-46c3-87ad-7fee630bfcd2 · outbound
Universal magic state concentration Haah and M
Reference 22
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 fd4965f6-a840-47d1-9e66-6796b2164662 · outbound
Universal magic state concentration Unresolved cited work
Reference 23
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 5acb8318-a48c-48f8-a0c2-8b119b4d1b65 · outbound
Universal magic state concentration Gidney and A
Reference 24
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 201cc5a5-288b-426a-b170-f2b9c840cf41 · outbound
Universal magic state concentration Itogawa, Y
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 091f85f8-e5a6-4ce8-883b-ccf7b2a99350 · outbound
Universal magic state concentration Magic state cultivation: growing T states as cheap as CNOT gates
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14a773cf-8956-4cbf-a120-d96e6de4c40f · outbound
Universal magic state concentration Chitambar and G
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4700466c-3b0d-4c20-a703-b2ebff5bb713 · outbound
Universal magic state concentration Howard and E
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57db68a9-175f-4bec-8350-ea7d086197ad · outbound
Universal magic state concentration Veitch, S
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03a866d2-bf1c-4d8a-9c02-c258e7099ae5 · outbound
Universal magic state concentration Universal distortion-free entanglement concentration
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fb094ef-1c6f-459d-95d0-1e04b8d38049 · outbound
Universal magic state concentration Universal quantum resource distillation via composite generalised quantum Stein's lemma
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 748f3507-513a-4106-bc97-6464c3a9f4fa · outbound
Universal magic state concentration Leone, S
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e761e80-29e7-45c6-b665-0975d42e1889 · outbound
Universal magic state concentration Leone and L
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32782a74-be59-41ed-a774-eaa2b9d2e188 · outbound
Universal magic state concentration Bittel and L
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b458481c-5c2e-4104-9bc6-77277d88afb8 · outbound
Universal magic state concentration Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81edf6e9-9086-4721-a20e-404d9866a693 · outbound
Universal magic state concentration Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b8c7247-a3c3-4aa0-921c-dedfbffe25c8 · outbound
Universal magic state concentration Lami and M
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 809c5536-eca2-44df-b56d-a4517c511c5f · outbound
Universal magic state concentration Unresolved cited work
Reference 38
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 069bb954-5bb2-4657-9097-fa1b4dfdc3f4 · outbound
Universal magic state concentration Turkeshi, A
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation efd6c6f8-a6f5-4618-aace-605bf1d28864 · outbound
Universal magic state concentration Evaluating many-body stabilizer R\'enyi entropy by sampling reduced Pauli strings: singularities, volume law, and nonlocal magic
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b6204d6-8a5e-4ed3-bbcd-665f94d56e64 · outbound
Universal magic state concentration Both Toffoli and Controlled-NOT need little help to do universal quantum computation
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9078ad12-7ffd-40ef-9c85-e72fd572f4f9 · outbound
Universal magic state concentration Beverland, E
Reference 42
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 8a84269a-b9f9-4cb9-8d48-a5f432d67b40 · outbound
Universal magic state concentration Gross, S
Reference 43
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 6adc75b7-4d73-42eb-9fe7-3f52deb058b2 · outbound
Universal magic state concentration Rubboli, R
Reference 44
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 39246dbd-ee95-4824-86b1-3dd1d75ec3f5 · outbound
Universal magic state concentration Horodecki and J
Reference 45
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 2e7f05e5-ba19-4a3e-abc7-125db601bd40 · outbound
Universal magic state concentration Unresolved cited work
Reference 46
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 991be700-aa51-44ca-89e7-3e49757be78d · outbound
Universal magic state concentration Unresolved cited work
Reference 47
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 d6519501-70de-4ad5-a652-eea394a615c1 · outbound
Universal magic state concentration Zhu, Multiqubit clifford groups are unitary 3-designs, Physi- cal Review A96, 10.1103/physreva.96.062336 (2017)
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9004599-b632-4352-8f60-595dde9cdc84 · outbound
Universal magic state concentration Unresolved cited work
Reference 49
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 f614dfc1-d463-434f-be31-d44f700334d8 · outbound
Universal magic state concentration Unresolved cited work
Reference 50
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 0393d6b9-43ef-4360-86ba-8a29b5de54c8 · outbound
Universal magic state concentration Six- and eight-copy achievability 11
Reference 51
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 33b67d8c-d04e-4d83-928a-ffdd74576b9f · outbound
Universal magic state concentration Unresolved cited work
Reference 52
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 5cf1769e-9e29-491a-9d01-a9c750fed760 · outbound
Universal magic state concentration Six- and eight-copy upper bounds 17
Reference 53
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 94e509dd-ba52-4e5e-a3f1-e65ab17edab1 · outbound
Universal magic state concentration Unresolved cited work
Reference 54
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 98956afc-ab11-402f-99b6-c408c94135c1 · outbound
Universal magic state concentration Asymptotic upper bound 23 Appendix A: Preliminaries
Reference 55
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 e3f87dcf-1eeb-40aa-998c-edcb64413a43 · outbound
Universal magic state concentration A more detailed overview can be found in Ref
Reference 56
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 42006a22-7298-4844-92c4-e426dc3eed8b · outbound
Universal magic state concentration H,CNOT and S := diag(1, i)generate the n-qubit Clifford group
Reference 57
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 852dbc40-9aa8-4156-8e74-59c4d241311e · outbound
Universal magic state concentration Our definitions follow the respective versions in entanglement theory [29]
Reference 58
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 c4671cd6-da8c-45a7-aa02-e2db98759dea · outbound
Universal magic state concentration Unresolved cited work
Reference 59
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 005b1409-f95d-4cfe-909e-68014b4a8906 · outbound
Universal magic state concentration Unresolved cited work
Reference 60
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 978afb2a-2319-4795-b7da-a336adb396b2 · outbound
Universal magic state concentration We first prove the following
Reference 61
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 51934257-cdaf-4a0c-b4d4-bd5fa65e6b0d · outbound
Universal magic state concentration We first prove a few preliminary lemmas
Reference 62
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 b01a01cc-0b65-4169-aac6-f921c4690bce · outbound
Universal magic state concentration Hence the magnitudes are 1×1,135×1/3 and the rest zero
Reference 63
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 41558d62-0f38-4d59-afd3-f844c7f508e2 · outbound
Universal magic state concentration Unresolved cited work
Reference 64
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 e2058b69-b7ad-45ba-b7f1-b4091d0dbcfb · outbound
Universal magic state concentration Furthermore, it cannot be fundamentally improved for any target non-stabilizer state, thus not necessarily only forCCZ
Reference 65
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 d75253e2-dc2e-4f0f-83c1-e1a6c9ea6862 · outbound
Universal magic state concentration Then q M lin 3 (ψ) ≤ 1−s 1−s 4 = 1 (1 +s)(1 +s 2) (D17) ≤ 1 (1 + 1/ √ 3)(1 + 1/3) = 3(3− √ 3) 8 .(D18) Thus, setting for simplicityγ := 3(3− √ 3) 8 , we haveq≤γM lin 3 (ψ)
Reference 66
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.
No inbound Pith citation observations are available.