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Paper Citation Record · LEDGER

Fault-tolerant quantum simulation of generalized Hubbard models

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2501.10314.

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

pith.paper-citation-record.v1
2501.10314 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:21:05.237951Z

measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:37:22.809396Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T22:41:36.522595Z

Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation 7afa59ec-7062-43b3-83ec-4daf5df92528 · outbound

This paper cites (A12) Therefore, M S1 σ can be written as M S1 σ = b†b − c†c, (A13) where b and c are given by b = 1√ 2 (a1σ + a2σ), (A14) c = 1√ 2 (a1σ − a2σ).

Fault-tolerant quantum simulation of generalized Hubbard models (A12) Therefore, M S1 σ can be written as M S1 σ = b†b − c†c, (A13) where b and c are given by b = 1√ 2 (a1σ + a2σ), (A14) c = 1√ 2 (a1σ − a2σ)

Reference 1

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source=pdf_text observed=2026-08-10T19:21:05.098737Z digest=sha256:ba20199296f73fd1d59aec9e0ed6be5da2cd00e888d855cfca721b46fcc024c0

Observation 8ad963b5-83e8-4504-9376-847c57f4bb26 · outbound

This paper cites (A22) We can write M S2 σ as M S2 σ = √ 2b†b − √ 2c†c, (A23) where b and c are given by b = 1√ 2 a1σ + 1 2 (a2σ + a3σ), (A24) c = 1√ 2 a1σ − 1 2 (a2σ + a3σ).

Fault-tolerant quantum simulation of generalized Hubbard models (A22) We can write M S2 σ as M S2 σ = √ 2b†b − √ 2c†c, (A23) where b and c are given by b = 1√ 2 a1σ + 1 2 (a2σ + a3σ), (A24) c = 1√ 2 a1σ − 1 2 (a2σ + a3σ)

Reference 2

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source=pdf_text observed=2026-08-10T19:21:05.114760Z digest=sha256:109ce3be26839a87d7ef9fe3d6fd7761f49d61684e18f82e3fb608be5a41c97f

Observation a33c3924-dd17-4200-b1b2-5e9bdc043add · outbound

This paper cites [21], has hopping terms between four spin orbitals, ϕ1σ, ϕ2σ, ϕ3σ and ϕ4σ.

Fault-tolerant quantum simulation of generalized Hubbard models [21], has hopping terms between four spin orbitals, ϕ1σ, ϕ2σ, ϕ3σ and ϕ4σ

Reference 3

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source=pdf_text observed=2026-08-10T19:21:05.135319Z digest=sha256:5f14f457a9ff6dc2b45ae8d06fbee94623485aad668dc23b1a3c9ed5e73a285f

Observation 4354e353-963b-483d-bb62-f453cde72d4c · outbound

This paper cites an unresolved cited work.

Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-10T19:21:05.149207Z digest=sha256:40ba93b906a5265d51d7621e28d6f499b854dfe58587331e80e64f51604f7f32

Observation 2e5a80c3-e6d6-43a2-96e5-c98fdb21d041 · outbound

This paper cites The S3 tile has hopping terms between 4 spin orbitals, ϕ1σ, ϕ2σ, ϕ3σ and ϕ4σ, described by the adjacency matrix RS3 =   0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0  .

Fault-tolerant quantum simulation of generalized Hubbard models The S3 tile has hopping terms between 4 spin orbitals, ϕ1σ, ϕ2σ, ϕ3σ and ϕ4σ, described by the adjacency matrix RS3 =   0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0  

Reference 5

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source=pdf_text observed=2026-08-10T19:21:05.155175Z digest=sha256:0205f4b64fcd20cbdc37695a164f8c3241d27d2f4edb5f4bb4bf90fe8458dc61

Observation 295afda6-22ad-47f9-822a-9850684f280d · outbound

This paper cites an unresolved cited work.

Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-10T19:21:05.166984Z digest=sha256:1cb94269cdb4aa6b5756f84078e83fcd7aec4ffc0f3ddb95c640edc5465b1773

Observation 128f1163-24b0-4943-b737-914df982964e · outbound

This paper cites (A55) This operator can be implemented using the quantum cir- cuit shown in Fig.

Fault-tolerant quantum simulation of generalized Hubbard models (A55) This operator can be implemented using the quantum cir- cuit shown in Fig

Reference 11

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source=pdf_text observed=2026-08-10T19:21:05.161596Z digest=sha256:bb68d18b018de3c53ca0b835a4ac86695f3d3230a8a21434f2c2947bc0f180bc

Observation 05d93866-2627-4bec-9c13-b928cd6a745a · outbound

This paper cites These fragments have two distinct types of sites: center sites where a lattice site has three nearest neighbors and edge sites where a lattice site has two nearest neighbors.

Fault-tolerant quantum simulation of generalized Hubbard models These fragments have two distinct types of sites: center sites where a lattice site has three nearest neighbors and edge sites where a lattice site has two nearest neighbors

Reference 13

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source=pdf_text observed=2026-08-10T19:21:05.173776Z digest=sha256:1b993c2322d54bbec33451acb6ce0f1c138934228e6492bbe6f3f76f0f7ffbaa

Observation 70df5072-3faf-42b3-9da7-4b764f2b1464 · outbound

This paper cites 7 and 8, and de- scribed in Appendix D.

Fault-tolerant quantum simulation of generalized Hubbard models 7 and 8, and de- scribed in Appendix D

Reference 14

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source=pdf_text observed=2026-08-10T19:21:05.181957Z digest=sha256:e7ff358006265e8efe4ec0246e6a81c5e8edf0889dada40e669885aa8f87b333

Observation 7e15c473-23af-43fc-a484-450cb07fd28b · outbound

This paper cites an unresolved cited work.

Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-10T19:21:05.189720Z digest=sha256:31f6927333844404ce8cc3964579d555eb23954ff36b5ca532d8a68e8445804f

Observation ad2daf6c-c71c-4eab-b12c-2b8545baaa75 · outbound

This paper cites These lemmas take a nested commutator and partition it into a sum of operators acting on a reduced number of spin orbitals, or qubits.

Fault-tolerant quantum simulation of generalized Hubbard models These lemmas take a nested commutator and partition it into a sum of operators acting on a reduced number of spin orbitals, or qubits

Reference 16

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source=pdf_text observed=2026-08-10T19:21:05.196692Z digest=sha256:470430d933ce0993f3c412486a220b8b8078db6dd3f56a0aabbca8d4387c0832

Observation 982eefc0-4d2e-47c1-b4f2-c2001d29ea8d · outbound

This paper cites [21], given in Eq.

Fault-tolerant quantum simulation of generalized Hubbard models [21], given in Eq

Reference 17

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source=pdf_text observed=2026-08-10T19:21:05.203285Z digest=sha256:0144ee55620e808eadbb0bbbd5bf8123028dedf1becae360bee24a6126eeb8d8

Observation 357ac8c1-5401-42d1-a5eb-20da171331cd · outbound

This paper cites This allows us to write the full Coulomb term as a sum over lattice bonds, as HC = X ⟨ij⟩ U 4k (Zi↑Zi↓ + Zj↑Zj↓) + V 4 X σ,σ′ ZiσZjσ ′.

Fault-tolerant quantum simulation of generalized Hubbard models This allows us to write the full Coulomb term as a sum over lattice bonds, as HC = X ⟨ij⟩ U 4k (Zi↑Zi↓ + Zj↑Zj↓) + V 4 X σ,σ′ ZiσZjσ ′

Reference 18

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source=pdf_text observed=2026-08-10T19:21:05.210431Z digest=sha256:9fa8d94e8dcea224640c36457cb82ef837020a04940580d00e08ff9d104cac79

Observation 9789be5d-ffb0-4af4-adcd-d08bb88b8b23 · outbound

This paper cites partition.

Fault-tolerant quantum simulation of generalized Hubbard models partition

Reference 19

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source=pdf_text observed=2026-08-10T19:21:05.217809Z digest=sha256:b01cd2fad27fdf12c7e6305a964b8b6d77513ebbbce1499f89c137976ca4b06a

Observation 75554538-4878-448c-92fc-945f575f182c · outbound

This paper cites Here, it is straightforward to calculate the spectral norms exactly for a number of small lattice sizes, which can then be compared to bounds from the above lemmas.

Fault-tolerant quantum simulation of generalized Hubbard models Here, it is straightforward to calculate the spectral norms exactly for a number of small lattice sizes, which can then be compared to bounds from the above lemmas

Reference 20

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source=pdf_text observed=2026-08-10T19:21:05.224220Z digest=sha256:f5bea29c1bc859420c73af18376fe6d0b4955c183cfb0848493fa85431ecd874

Observation e75979ed-fbc5-432a-837c-333d7bc61d3b · outbound

This paper cites We index terms in the Hamiltonian using the flag registers |U ⟩ |px⟩ |py⟩ |pc⟩ |α⟩ |qx⟩ |qy⟩ |qc⟩.

Fault-tolerant quantum simulation of generalized Hubbard models We index terms in the Hamiltonian using the flag registers |U ⟩ |px⟩ |py⟩ |pc⟩ |α⟩ |qx⟩ |qy⟩ |qc⟩

Reference 21

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source=pdf_text observed=2026-08-10T19:21:05.230624Z digest=sha256:00e5de395c79d572a8dcaeeef192b98e46b2af49ba59fad487fa1315f6e7f7b2

Observation 46d829d4-854e-47bd-8b2b-e77900860364 · outbound

This paper cites ancilla qubits.

Fault-tolerant quantum simulation of generalized Hubbard models ancilla qubits

Reference 22

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source=pdf_text observed=2026-08-10T19:21:05.237951Z digest=sha256:2f0ebd7428f5f3ed76d559f1929bf01a86aa7a8c0d2b26f6dbd325b5d9e64ec0

Observation eff90bb7-c828-4951-920d-c9ab4fadbaa9 · outbound

This paper cites an unresolved cited work.

Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-10T19:21:05.121237Z digest=sha256:ee89345d9c937e30fb6a79f4bf04eff45587282ac1f87603561fa54f87a7aa4a

Observation 853e3f64-1aca-4712-a3e8-d4d85367cb57 · outbound

This paper cites Schubert and C.

Fault-tolerant quantum simulation of generalized Hubbard models Schubert and C

Reference 83

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source=pdf_text observed=2026-08-10T19:21:05.065844Z digest=sha256:253a60bc273e2affc6d70d3f73c33c49da26e21a6436f65315da2d81e8bc35bc

Observation e13f6490-862a-4776-bf8a-ed541544d1d1 · outbound

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Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 84

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source=pdf_text observed=2026-08-10T19:21:05.072273Z digest=sha256:f19834f79941b84b5a995efefadb475787eee26bffc5df1b5784d60dfdf4dd66

Observation 9c749e87-5bf5-4fec-8db7-14b837fc9465 · outbound

This paper cites an unresolved cited work.

Fault-tolerant quantum simulation of generalized Hubbard models Unresolved cited work

Reference 85

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source=pdf_text observed=2026-08-10T19:21:05.079887Z digest=sha256:711889f340e5cd7b5e78597bac1f9b407d1ba1de81bef81a4aedd811b1bf93ea

Observation f0856724-75e0-4ee8-a5f2-277c48137f38 · outbound

This paper cites arbitrary rotations.

Fault-tolerant quantum simulation of generalized Hubbard models arbitrary rotations

Reference 86

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source=pdf_text observed=2026-08-10T19:21:05.086476Z digest=sha256:41be7c3182d5925b7891d8dacbd8e165867c6d0302108edc50b00db939de97ed

Pith citing papers

Observation 6c76c640-6327-498b-a17f-514a62c48448 · inbound

How to Build a Quantum Supercomputer: Scaling from Hundreds to Millions of Qubits cites this paper.

How to Build a Quantum Supercomputer: Scaling from Hundreds to Millions of Qubits Fault-tolerant quantum simulation of generalized Hubbard models

Reference 28

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arxiv_id, observed 2026-05-18T22:41:36.525532Z

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source=pdf_text observed=2026-05-18T22:41:36.363536Z digest=sha256:4d0c223b7c65fe6b9c7f81b15abee97fcd4f687fe8afcfa2096aef7016e55338

Observation 07601019-398d-4d7c-8a20-b0645a5f4baa · inbound

Quantum Computing Technology Roadmaps and Capability Assessment for Scientific Computing -- An analysis of use cases from the NERSC workload cites this paper.

Quantum Computing Technology Roadmaps and Capability Assessment for Scientific Computing -- An analysis of use cases from the NERSC workload Fault-tolerant quantum simulation of generalized Hubbard models

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:37:22.809396Z digest=sha256:35648d99d62dfd9beb21b1df70a897f99b723a5cb764d115f4fbce75ccd77eca