Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:56:48.489248Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2505.03889.
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 2026-08-15T23:56:48.489248Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
76 of 76 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6d931e9b-c294-433b-9cc9-247b3c337062 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 1
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.
Observation 463c3184-9c9a-44f4-a4d9-1e830852b460 · outbound
Qudit Noisy Stabilizer Formalism If this noise channel acts on a graph state, then it can be rewritten again in terms of onlyZ-type operators, using Eq
Reference 2
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.
Observation 7675189a-4207-4d6d-9e0a-b8f74bb970db · outbound
Qudit Noisy Stabilizer Formalism Bravyi and A
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2cc41d5-9b35-4793-93f5-9e303552a359 · outbound
Qudit Noisy Stabilizer Formalism All these operations map graph states to graph states
Reference 4
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.
Observation ab0f00a4-d0cc-4240-a63a-c14755e0dd33 · outbound
Qudit Noisy Stabilizer Formalism III the measurement operations are all equivalent up to Clifford operations
Reference 5
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.
Observation 0af52e66-f100-48db-bfe7-20cc86eb2c09 · outbound
Qudit Noisy Stabilizer Formalism For each channel, for each noise term, each Pauli Z contribution is updated using the above update rules for O1
Reference 6
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.
Observation c86a634b-d373-4177-92a4-7af1999fe797 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d51f1d5b-5da7-40cf-a553-eb0d46da1289 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 8
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.
Observation b87acf47-3dc3-4a9e-bd90-c4f4d7658dd6 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 9
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.
Observation cd2be142-539f-4517-8a0b-84f0aab635ce · outbound
Qudit Noisy Stabilizer Formalism Bombin and M
Reference 10
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.
Observation 6b639433-09fd-4964-9921-82d0b307540b · outbound
Qudit Noisy Stabilizer Formalism Bourennane, A
Reference 11
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.
Observation 225ea32e-af84-4c06-821b-632c4d19cbf3 · outbound
Qudit Noisy Stabilizer Formalism Miller, T
Reference 12
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.
Observation dd3b1da0-824f-4b05-afff-c64b555bd562 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 13
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.
Observation 5af145e6-750c-4e09-aa96-c942b1f5e489 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 14
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.
Observation 1655b50f-e19b-45d2-8085-888fb34ba985 · outbound
Qudit Noisy Stabilizer Formalism Srivastav, N
Reference 15
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.
Observation 1f9356f9-a3d4-458e-8858-3fdeb2ca6ef0 · outbound
Qudit Noisy Stabilizer Formalism Miguel-Ramiro and W
Reference 16
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.
Observation ad2de454-f803-4740-82ac-e5d4307f526a · outbound
Qudit Noisy Stabilizer Formalism Neeley, M
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85673af6-c77e-41e8-b63f-db42806d37cd · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 18
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.
Observation 36bc4ed3-ea9a-426d-964a-3eeac7f65754 · outbound
Qudit Noisy Stabilizer Formalism Chizzini, F
Reference 19
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.
Observation 04737ca3-6c3d-40bc-aea3-aa57d134323c · outbound
Qudit Noisy Stabilizer Formalism Ringbauer, M
Reference 20
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.
Observation 686fb7d3-4762-4833-a943-bbd53a0650e1 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 21
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.
Observation e2796cfb-2827-4cd2-8491-ab04a2fbc1ac · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 22
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.
Observation d2119da7-92aa-4025-bfcc-830f0b02a193 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb3cff05-20d2-4e33-8340-202108e62024 · outbound
Qudit Noisy Stabilizer Formalism Gottesman,The Heisenberg Representation of Quan- tum Computers, Tech
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac713cd0-a96e-43e5-a974-e490cd6a5d5d · outbound
Qudit Noisy Stabilizer Formalism Omanakuttan, A
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b08ac8c2-f1ea-431d-b201-65231e4460a0 · outbound
Qudit Noisy Stabilizer Formalism Lindon, A
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2265824b-4b81-4505-95de-869db205fc3a · outbound
Qudit Noisy Stabilizer Formalism Brecht, D
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc2bd883-0781-4556-9690-0a4cfdb79515 · outbound
Qudit Noisy Stabilizer Formalism Zhong, H
Reference 28
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.
Observation 0ea2eee3-196a-4c1d-b585-d5ec8a93cdba · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c0d4548-9c63-4e0d-a635-dce647918372 · outbound
Qudit Noisy Stabilizer Formalism De Beaudrap, Quantum Info
Reference 30
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.
Observation bf82f678-507f-43ec-938b-164b17b4f9b7 · outbound
Qudit Noisy Stabilizer Formalism Mansour and Z
Reference 31
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.
Observation ae5ec504-fc4f-42ed-921f-ec23f0077682 · outbound
Qudit Noisy Stabilizer Formalism Aaronson and D
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5ea3c49-49c9-4b6e-abbe-f679178c94bc · outbound
Qudit Noisy Stabilizer Formalism Van Den Nes, Quantum Info
Reference 33
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.
Observation 13b8f707-cb03-4feb-9e7c-7fd2bbc770f2 · outbound
Qudit Noisy Stabilizer Formalism Grassl, A
Reference 34
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.
Observation fa58cef1-d797-4d80-b239-f080c0b4fe33 · outbound
Qudit Noisy Stabilizer Formalism Schlingemann, Quantum Info
Reference 35
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.
Observation e2848049-0f50-4f59-ac8e-395760fe3502 · outbound
Qudit Noisy Stabilizer Formalism Englbrecht, T
Reference 36
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.
Observation 5f35ecfc-9422-41be-aea9-27df65267d97 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 37
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.
Observation 1634855d-ab3a-41fa-836e-64da27da2a83 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 38
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.
Observation 170db7dc-6ba4-44e2-9066-a9bffdf2374a · outbound
Qudit Noisy Stabilizer Formalism Gauthier, Recurrence Based Purification of Qudit Graph States, Master’s thesis, Delft University of Tech- nology (2021)
Reference 39
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.
Observation 8f18ba37-718f-43f2-850d-8fe78b0b7188 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 40
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.
Observation f32d2300-3647-44d8-9d22-52df6303a542 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 41
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.
Observation 6eba9d0e-255d-4b16-92a1-f58b572b677b · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 42
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.
Observation ac14350d-ba1e-420c-b7db-4ea71d20cf23 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 43
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.
Observation 7a6655ce-afa6-45f8-91d2-c42a357483c5 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c6d0172-497f-4d8b-a78b-01ad321c4eeb · outbound
Qudit Noisy Stabilizer Formalism Heinrich,On stabiliser techniques and their applica- tion to simulation and certification of quantum devices, Ph.D
Reference 45
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.
Observation 09bc599c-eaf2-4020-8d84-0126fa4bc32a · outbound
Qudit Noisy Stabilizer Formalism Huang and P
Reference 46
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.
Observation ce80a463-5b6a-445e-99d7-fac4d9a511e9 · outbound
Qudit Noisy Stabilizer Formalism Brandl, Efficient and Noise-aware Stabilizer Tableau Simulation of Qudit Clifford Circuits, Master’s thesis, Jo- hannes Kepler University Linz (2024)
Reference 47
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.
Observation 2c786f8f-c16b-4c74-8a83-78e976b99399 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d23f417-4489-4d48-98dd-0bb9cf36069d · outbound
Qudit Noisy Stabilizer Formalism The Choi-Jamiołkowski isomorphism relates channels (completely positive trace-preserving maps) with states, the so-called Choi-Jamiołkowski states
Reference 49
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.
Observation 521fca34-d7d4-4d9c-88c1-29b7bd71674f · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0e5c93b-d696-467e-a714-daaad01b567f · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4686a03-2795-4852-8c52-40c40e94403b · outbound
Qudit Noisy Stabilizer Formalism Merging-Based Quantum Repeater
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b73adaa-57a9-4ac8-b7b9-7e96589ffb91 · outbound
Qudit Noisy Stabilizer Formalism Gross, J
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84bb9111-6068-4769-9aed-ef39bee97849 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 54
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.
Observation a768621e-f230-4762-a6c9-8b72625371b7 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 55
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.
Observation 001004c5-991b-4c8f-bae8-0ab0a1cb29b3 · outbound
Qudit Noisy Stabilizer Formalism Gilchrist, N
Reference 56
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.
Observation 47fa9a66-5fcd-4da8-9051-c11787a4e478 · outbound
Qudit Noisy Stabilizer Formalism Jamiołkowski, Rep
Reference 57
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.
Observation 609f5023-7569-4688-af47-e766ea3d43a5 · outbound
Qudit Noisy Stabilizer Formalism Gheorghiu, Phys
Reference 58
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.
Observation 0f0d64ed-d09a-4642-a98f-5f5468f0f389 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c305749-2594-407b-b9e5-3187161141b3 · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 60
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.
Observation 5bc64161-47db-4dd9-ab00-24377b8fe1e7 · outbound
Qudit Noisy Stabilizer Formalism Zhang, G
Reference 61
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.
Observation 4fbe0086-4230-45c5-8577-b64b8de76d71 · outbound
Qudit Noisy Stabilizer Formalism Continuous variable noisy stabilizer for- malism,
Reference 62
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.
Observation 273c592b-1719-4f6b-975c-a6ad7173e59c · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 63
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.
Observation 0771667e-2586-47d9-83e4-c262a5c54cb0 · outbound
Qudit Noisy Stabilizer Formalism (2) for the odd case,K⊂ F2n d with liftα defines Kα :={(v, 2α(v))|v∈K}, which in turn sets the Abelian subgroupW (Kα) :={ωtr(α(v))W (v)|v∈K}
Reference 64
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.
Observation 494687fb-f2a6-4080-b791-e9e50ff67e75 · outbound
Qudit Noisy Stabilizer Formalism Moreover, if the power of our prime-power dimensionm is odd, then theH operator is defined asHeven =eiπ/4Hodd
Reference 65
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.
Observation 3a370862-21c2-47a4-a5a2-59e665f3d95c · outbound
Qudit Noisy Stabilizer Formalism Unresolved cited work
Reference 66
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.
Observation 471a472a-ea8b-4684-a951-c5db2031a184 · outbound
Qudit Noisy Stabilizer Formalism We first show the local Clifford equivalence claimed in Eq
Reference 67
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.
Observation c0f94685-dbf7-454c-a65c-93ec3f5d7125 · outbound
Qudit Noisy Stabilizer Formalism The proof of the local Clifford equivalence of theX projector and theW (1, 1) projector presented in Eq
Reference 68
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.
Observation e7effcd5-1034-4106-9628-5b30567e82ce · outbound
Qudit Noisy Stabilizer Formalism We begin with showing the Clifford equivalence given in Eq
Reference 69
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.
Observation 4cb12498-c520-4f97-bd83-c475a61160ff · outbound
Qudit Noisy Stabilizer Formalism First, we show the Clifford equivalence from Eq
Reference 70
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.
Observation a57e8577-09e7-43fa-b18b-7231d049c7f9 · outbound
Qudit Noisy Stabilizer Formalism We first show the Clifford equivalence claimed in Eq
Reference 71
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.
Observation cde07aca-0f7c-4323-b922-2a6a7c53be74 · outbound
Qudit Noisy Stabilizer Formalism Local multiplication The update rule forM(m91), given in Eq
Reference 72
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.
Observation 0d946f05-0f8d-486b-a7a2-ea6e7de7964b · outbound
Qudit Noisy Stabilizer Formalism So we can write the projection of an Weyl operatorO on a graph state|G⟩ always asP (Ov,b )|G⟩ =U†P (Zv,b )U|G⟩, where U is said Clifford
Reference 73
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.
Observation a5eb1610-94c8-403c-a9d9-25ccc53b194e · outbound
Qudit Noisy Stabilizer Formalism The procedure to obtain the generalized Bell pair from the linear cluster state is to measure qudits 2 toN9 1 in theW (1, 1) basis
Reference 74
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.
Observation 49f6927a-3251-40c8-b07b-87c6df1e8b60 · outbound
Qudit Noisy Stabilizer Formalism (27) and Eq
Reference 75
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.
Observation 4475e730-c052-4052-ae4f-07e64c2eee7d · outbound
Qudit Noisy Stabilizer Formalism Given a general noise term from the depolarizing channel, Eq
Reference 76
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.
No inbound Pith citation observations are available.