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Paper Citation Record · LEDGER

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model

As of 20 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2607.14875.

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

pith.paper-citation-record.v1
2607.14875 v1

Coverage vector

measured 69 of 69 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T00:52:00.577054Z

measured 69 of 69 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

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Reference resolution

69 of 69 outbound references displayed

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  • verified fuzzy0
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Outbound references

Observation ad469b90-ec5d-469f-b8a8-a619965709b5 · outbound

This paper cites This NNB serves as the first stage of our training protocol.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model This NNB serves as the first stage of our training protocol

Reference 1

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Observation 59465df6-a2cb-494d-ae82-c9c907bba6dd · outbound

This paper cites The purpose of this stage is to transfer the coarse physical structure learned by the lightweight NNB to the more expressive Transformer representation.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model The purpose of this stage is to transfer the coarse physical structure learned by the lightweight NNB to the more expressive Transformer representation

Reference 2

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Observation 81866a00-bae3-4dfb-a5ac-ee3ac9db299e · outbound

This paper cites LetNp be the number of real variational parameters, and letθ∈R Np denote the flattened parameter vector.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model LetNp be the number of real variational parameters, and letθ∈R Np denote the flattened parameter vector

Reference 3

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Observation cfd988f2-5668-4a51-ab5f-a31b74407a38 · outbound

This paper cites As shown in Fig.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model As shown in Fig

Reference 4

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Observation e65e9bfc-8519-4007-bff2-6bcc54966dc4 · outbound

This paper cites an unresolved cited work.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 5

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Observation 071f91f6-13e1-4a18-84d2-d4787511b1c3 · outbound

This paper cites This changes the boundary geometry while leaving the optimiza- tion protocol unchanged.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model This changes the boundary geometry while leaving the optimiza- tion protocol unchanged

Reference 6

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Observation d4a8f9c7-0533-4667-b63e-1d0b0332bb44 · outbound

This paper cites This test probes whether the approach can be used beyond the 4×4 benchmark systems.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model This test probes whether the approach can be used beyond the 4×4 benchmark systems

Reference 7

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Observation 6b595374-fa60-4f0e-ac95-59273e3f1231 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 8

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Observation 017c8188-6664-4cb9-a54a-a729fed9b24e · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation d4b8101b-ae0c-48d1-b84e-0f6a9d352740 · outbound

This paper cites Imada, A.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Imada, A

Reference 10

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Observation 38d90173-0df7-4bd5-beb9-567b29ba9c0b · outbound

This paper cites Kohno, Mott transition in the two-dimensional hubbard model, Phys.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Kohno, Mott transition in the two-dimensional hubbard model, Phys

Reference 11

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Observation 3f289393-bfab-431c-9cc6-27c8b810f089 · outbound

This paper cites Fratino, P.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Fratino, P

Reference 12

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Observation 2d64ba6f-74e8-4fe3-9004-ca910e13fb7d · outbound

This paper cites Georges, G.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Georges, G

Reference 13

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Observation 93d116f0-63b7-4627-b633-1e0066fde0c0 · outbound

This paper cites Wietek, R.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Wietek, R

Reference 14

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Observation 2e190ea4-062c-4a1c-8990-bf2c2eeea113 · outbound

This paper cites Mazurenko, C.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Mazurenko, C

Reference 15

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Observation ca97ecb7-430f-4c70-84e9-cdce673400a6 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 16

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Observation 164d2d18-a03c-4bc6-b7f2-38e7c4ee60b4 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 17

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Observation ed999b15-bf12-4c47-aa39-9c33d4293001 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation a122f950-a699-413f-ada1-ae89ee0372d2 · outbound

This paper cites ˇSimkovic, J.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model ˇSimkovic, J

Reference 19

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Observation 6c02e025-2902-4c77-bcbc-242901fd7090 · outbound

This paper cites Borejsza and N.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Borejsza and N

Reference 20

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Observation cc547433-e7d6-43bc-b0b3-7af8887d6603 · outbound

This paper cites Zheng, C.-M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Zheng, C.-M

Reference 21

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Observation 5416a016-534e-4401-ba8d-324fe9a7986b · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation 167de4a5-6b65-4b27-8a15-22b6e82bb684 · outbound

This paper cites Xiao, Y .-Y.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Xiao, Y .-Y

Reference 23

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Observation 43032e51-ebe1-49ba-8899-bd2e8f8108b7 · outbound

This paper cites Chang and S.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Chang and S

Reference 24

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Observation ce979030-4a4d-4877-9b84-da737ff88e53 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation ae53a675-e29e-4af1-a5a8-1239c640fe7f · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation 6d19144a-da8e-49f5-b4a8-3124bb40957f · outbound

This paper cites Jiang and T.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Jiang and T

Reference 27

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Observation 4cfbfcc1-3e0c-438e-b2a0-6b8c6e096417 · outbound

This paper cites Qin, C.-M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Qin, C.-M

Reference 28

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Observation ee026a76-82ce-436e-bbcb-8e07392f7634 · outbound

This paper cites Jiang, T.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Jiang, T

Reference 29

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Observation 9b4d8042-d454-45d1-8d8c-b800ffa4531b · outbound

This paper cites Numerical Studies of the 2D Hubbard Model.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Numerical Studies of the 2D Hubbard Model

Reference 30

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Observation 7fcc717d-a7d9-48c3-8940-5ec2e92a0de2 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation 4b2ea7cb-0b41-43a5-b7e0-4907383e2c9a · outbound

This paper cites Macridin, M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Macridin, M

Reference 32

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Observation 545c9af8-598b-4d86-89bc-978b3a700d66 · outbound

This paper cites Maier, M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Maier, M

Reference 33

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Observation e285428f-6a16-4e0d-a76d-893e3d4e5040 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation 9f72a25e-58d8-406e-903a-4650d11dfdd0 · outbound

This paper cites Zhang, J.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Zhang, J

Reference 35

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Observation c7ecbb24-0e95-4692-b1fa-bfd4878bab97 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation dd115498-6f37-4754-bff6-96ddae9f8895 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation bf8064e1-41fc-4049-9224-26be19b9a6f5 · outbound

This paper cites Qin, Self-consistent optimization of the trial wave func- tion within the constrained path auxiliary field quantum monte carlo method using mixed estimators, Phys.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Qin, Self-consistent optimization of the trial wave func- tion within the constrained path auxiliary field quantum monte carlo method using mixed estimators, Phys

Reference 38

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Observation b9d066c7-674e-47a8-bf71-aebb8e24de21 · outbound

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Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

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Observation a4732e15-5b78-4271-8067-c55c0e482e4f · outbound

This paper cites Hager, G.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Hager, G

Reference 40

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source=pdf_text observed=2026-08-02T00:52:00.458959Z digest=sha256:4707270d7de465aa0ac7957a546198280b78a556f544e97830b682f9990c3015

Observation 21d526a7-1433-4be4-b75c-8bb5470eeec5 · outbound

This paper cites Ehlers, S.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Ehlers, S

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source=pdf_text observed=2026-08-02T00:52:00.462965Z digest=sha256:c481b676ba1131b183acf0e2c401fba25c1561df64535cdbee30a301adb709e6

Observation e490f828-8f6f-4b21-aa94-c0ef418cc76e · outbound

This paper cites Corboz, Improved energy extrapolation with infinite pro- jected entangled-pair states applied to the two-dimensional hub- bard model, Phys.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Corboz, Improved energy extrapolation with infinite pro- jected entangled-pair states applied to the two-dimensional hub- bard model, Phys

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source=pdf_text observed=2026-08-02T00:52:00.466792Z digest=sha256:84f2fec35a7a4f4353eba22b192894ac0110e6fa5c25ad24cbe4938ffb1e6a21

Observation 919cd94c-ce04-4991-bd9a-3ef20e541aa6 · outbound

This paper cites Scheb and R.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Scheb and R

Reference 43

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source=pdf_text observed=2026-08-02T00:52:00.470596Z digest=sha256:2aa367646a316642b01492910e5a78f2a6db22ee656f743d35be726eab0181fe

Observation 79bcd06b-bd9a-4acd-897c-a00a356c0e1c · outbound

This paper cites Ponsioen, S.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Ponsioen, S

Reference 44

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source=pdf_text observed=2026-08-02T00:52:00.474748Z digest=sha256:9f7cbb2af558a258cd4b188670c8184b04f7aa9633774f9884b04e7fe6d10784

Observation 58007041-8e1e-4228-8838-f408b50e1e75 · outbound

This paper cites Zhang, J.-W.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Zhang, J.-W

Reference 45

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source=pdf_text observed=2026-08-02T00:52:00.478843Z digest=sha256:f81b914db11e30cad5165fb959d656df05555ebbe64779dd707647217cba1ae9

Observation 25510f47-6fed-4b22-9259-c19872ea4a76 · outbound

This paper cites Knizia and G.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Knizia and G

Reference 46

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source=pdf_text observed=2026-08-02T00:52:00.482501Z digest=sha256:691327b5d347c0478d1c7c9656754530aa5d18829b5474c3a3e2fdbdaaba8add

Observation 4910d8a1-7774-478e-b8f3-eee5157b0aa8 · outbound

This paper cites Zheng and G.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Zheng and G

Reference 47

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unresolved
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source=pdf_text observed=2026-08-02T00:52:00.486524Z digest=sha256:f7cacab70c23678ae3fe067ef92bef1814f21001aa864890a637ca9931f1d565

Observation 42119bde-660e-4522-9e46-a18d2f46606f · outbound

This paper cites Wu, Z.-H.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Wu, Z.-H

Reference 48

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source=pdf_text observed=2026-08-02T00:52:00.490514Z digest=sha256:a1993318f6019bd10cbd4cdbf9f0f98c54729b1542e5d22ff30e0dbc6add0c02

Observation 3d23ab7a-14cf-4e60-a7cb-7abb80fb5e8f · outbound

This paper cites Carleo and M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Carleo and M

Reference 49

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source=pdf_text observed=2026-08-02T00:52:00.494500Z digest=sha256:d22fd67fe23185990ad236d324318d527eb7b57a2dcf494d276ab9c1a7835de1

Observation ba97b5af-963a-498f-a1c3-0fba26886a6d · outbound

This paper cites Nomura, A.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Nomura, A

Reference 50

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source=pdf_text observed=2026-08-02T00:52:00.498302Z digest=sha256:15bc2e504cad2a069589dd1a03d00f1fe7af14b924efb0775a0e4d4e2eb4894e

Observation 063d4a5e-b620-47a3-bbcd-0075764136fa · outbound

This paper cites Glasser, N.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Glasser, N

Reference 51

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source=pdf_text observed=2026-08-02T00:52:00.502359Z digest=sha256:aabcfac15cc16b11183ed050198ad70a0323aa8f1bc6656968fdfc149f3a13bf

Observation 9e6ea67b-78f9-4aa0-8c01-52b0800093a9 · outbound

This paper cites Wang, H.-Q.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Wang, H.-Q

Reference 52

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source=pdf_text observed=2026-08-02T00:52:00.506959Z digest=sha256:8803f226312f404aca08a0803e70b5fee3ae5747496334cb7043b419b1635715

Observation 2b02e3ff-989b-4948-bd0c-e1f837aeedb6 · outbound

This paper cites Wang, R.-Q.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Wang, R.-Q

Reference 53

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source=pdf_text observed=2026-08-02T00:52:00.511231Z digest=sha256:436151bb6fd3ba4801b075e2bb51125dd402ba9e7ad886717c3ea7b525475394

Observation f840f6db-4680-4b62-b9bc-662e17f2c0d2 · outbound

This paper cites an unresolved cited work.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 54

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doi, observed 2026-08-02T00:53:27.622279Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-02T00:52:00.515145Z digest=sha256:0e1b0036dd8dfd4bcf254052388a59781a7b60dcb42a4f79b7104ec5ce810bb9

Observation c302e2d3-d30a-4050-b9d6-f3db54ef21fd · outbound

This paper cites Ibarra-Garc ´ıa-Padilla, H.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Ibarra-Garc ´ıa-Padilla, H

Reference 55

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source=pdf_text observed=2026-08-02T00:52:00.519557Z digest=sha256:953a2a39316b5dc9ea7566a868b0eaa45d1c226513252d865a38c01e23c31f7e

Observation 06b6895f-b345-42ec-9e0b-674158b78b77 · outbound

This paper cites Chen and M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Chen and M

Reference 56

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source=pdf_text observed=2026-08-02T00:52:00.523780Z digest=sha256:345bd59b1609b795f751b5c327f7d8e64abd3af675110117ca76bec1ade1ea22

Observation 89694b5c-d463-4cd0-8283-24d4fa3f83bf · outbound

This paper cites Rende, L.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Rende, L

Reference 57

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source=pdf_text observed=2026-08-02T00:52:00.527910Z digest=sha256:19277d3f02d06a17dd138a55b001ef16f9645846ca38a46fc09b093782d904a8

Observation 0dffe7ee-bc9d-4b5a-ad35-aca649d3fb58 · outbound

This paper cites Robledo Moreno, G.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Robledo Moreno, G

Reference 58

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source=pdf_text observed=2026-08-02T00:52:00.531866Z digest=sha256:94ea6a7672ee4fa7735187f79c0eee97f124d9835d1199ccf76a5cb3f8970250

Observation 863909b7-6ead-4c63-9fcd-59ce4c2b1b61 · outbound

This paper cites Luo and B.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Luo and B

Reference 59

Resolution
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source=pdf_text observed=2026-08-02T00:52:00.535901Z digest=sha256:b8dc9498e6a6a68caa5e2c8f3b81dbe165ef837033c163cf67472dfead9ba804

Observation 65fc1c5f-ea06-472b-8e42-7feba7cf1850 · outbound

This paper cites Neural Network-Augmented Pfaffian Wave-functions for Scalable Simulations of Interacting Fermions.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Neural Network-Augmented Pfaffian Wave-functions for Scalable Simulations of Interacting Fermions

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source=pdf_text observed=2026-08-02T00:52:00.540449Z digest=sha256:f146ae3f6455ac3d0e7fbbd11ee680030eefdf981faa2860dfe8d7639496899c

Observation fa5d86d6-06b0-49cc-a537-71881b97e05c · outbound

This paper cites Pareto Frontier of Neural Quantum States: Scalable, Affordable, and Accurate Convolutional Backflow for Strongly Correlated Lattice Fermions.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Pareto Frontier of Neural Quantum States: Scalable, Affordable, and Accurate Convolutional Backflow for Strongly Correlated Lattice Fermions

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source=pdf_text observed=2026-08-02T00:52:00.544982Z digest=sha256:5adb6639408bc6e5f1841aa12244b28eefa24bbfe337c6ec79e062293e1a2f70

Observation 095f6213-7277-44db-86e6-d601206147d6 · outbound

This paper cites Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model

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source=pdf_text observed=2026-08-02T00:52:00.549076Z digest=sha256:cd6e52d66cae6919ca054172cf8f4daf1239af40b4eefcce57d6eda6b816da32

Observation 715b6905-9ac3-43a1-8d81-752d7b627e90 · outbound

This paper cites Elfwing, E.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Elfwing, E

Reference 63

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source=pdf_text observed=2026-08-02T00:52:00.553239Z digest=sha256:d1e7338ca01c9d81053348dd56d466c3bce0f7bd8fba2bf6ff845c4cf4adae5e

Observation 09e1110b-3094-4d12-93e5-0b04c0613d05 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Adam: A Method for Stochastic Optimization

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source=pdf_text observed=2026-08-02T00:52:00.557070Z digest=sha256:dcdfce2ba3438270e60c6f96df8d8ccb7817d137ae2c1a0e4b20b121f5b18994

Observation aef80feb-77f9-4fcd-b8ec-40b31b25760f · outbound

This paper cites Sorella, M.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Sorella, M

Reference 65

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source=pdf_text observed=2026-08-02T00:52:00.561231Z digest=sha256:f8f191ba5456017f21119c1c7f61b3c11cd997a0ba834e5e5c9b3ac3aa7cddc6

Observation 9ff2cee4-ed1f-478e-adbd-e4a5b4ff1f76 · outbound

This paper cites an unresolved cited work.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 66

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source=pdf_text observed=2026-08-02T00:52:00.564958Z digest=sha256:513d267c6b8ba17d246ce7999722219a23470176655864f91eacf0cd350fdfc2

Observation f9c626fc-a194-4437-b49d-14845b44273b · outbound

This paper cites Sorella, Generalized lanczos algorithm for variational quan- tum monte carlo, Phys.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Sorella, Generalized lanczos algorithm for variational quan- tum monte carlo, Phys

Reference 67

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source=pdf_text observed=2026-08-02T00:52:00.568766Z digest=sha256:e8e810af72c96c39f1fe26b528350d0f959de4be15da67d4ee9f9b5e99536c83

Observation 8a08da8f-4cb8-4d3d-b9e3-229cd79fdff8 · outbound

This paper cites an unresolved cited work.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-02T00:52:00.573441Z digest=sha256:8ea0242a14c2c6197dfa0e4588d5e63b811a482c9884ad72fdbb062c433ff36a

Observation 2a85625a-aacb-4474-ab8e-0cac7ea7b34c · outbound

This paper cites an unresolved cited work.

Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-02T00:52:00.577054Z digest=sha256:767530581131ff4042d177ddbe31e4f18ad7ae2b5428dec50727922ab692d780

Pith citing papers

No inbound Pith citation observations are available.