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Paper Citation Record · LEDGER

Implicit differentiation of tensor network algorithms

As of 10 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2607.15030.

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

pith.paper-citation-record.v1
2607.15030 v1

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:28:22.998056Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:10:29.252808Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

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Outbound references

Observation fbfbc318-fde7-4b14-9f3c-3207ce96fd68 · outbound

This paper cites A real-valued cost functioneof the complex parametersp is given by a mape:C n →R.

Implicit differentiation of tensor network algorithms A real-valued cost functioneof the complex parametersp is given by a mape:C n →R

Reference 1

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Observation 741b3ee2-7a89-40c7-b260-fe2fcf1e9f6a · outbound

This paper cites an unresolved cited work.

Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 2

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Observation cdfeb84a-cfb3-4c4b-8397-8dbb4be52c70 · outbound

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 3

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This paper cites 22 Points 1.

Implicit differentiation of tensor network algorithms 22 Points 1

Reference 4

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This paper cites Having introduced the notions of JVP, VJP and reverse-mode accumulation, we can take a step back and phrase things a bit more informally.

Implicit differentiation of tensor network algorithms Having introduced the notions of JVP, VJP and reverse-mode accumulation, we can take a step back and phrase things a bit more informally

Reference 5

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This paper cites symmetric.

Implicit differentiation of tensor network algorithms symmetric

Reference 6

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 7

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 8

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This paper cites Crucially, all of these forward schemes converge to the same fixed point, meaning they can use the same char- acteristic equation in the backwards pass.

Implicit differentiation of tensor network algorithms Crucially, all of these forward schemes converge to the same fixed point, meaning they can use the same char- acteristic equation in the backwards pass

Reference 9

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This paper cites Or´ us, Tensor networks for complex quantum systems, Nat.

Implicit differentiation of tensor network algorithms Or´ us, Tensor networks for complex quantum systems, Nat

Reference 10

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 11

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 12

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 13

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Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 14

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This paper cites Verstraete, D.

Implicit differentiation of tensor network algorithms Verstraete, D

Reference 15

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Observation 8ea23d8e-4665-419b-95e8-44c47eec2f9b · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann.

Implicit differentiation of tensor network algorithms Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann

Reference 16

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Implicit differentiation of tensor network algorithms ¨Ostlund and S

Reference 17

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Observation d767e5f3-009e-4985-92f4-69985d8db906 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Implicit differentiation of tensor network algorithms Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 18

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Implicit differentiation of tensor network algorithms Unresolved cited work

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Observation 33f722a5-3394-47bf-99c8-fd4712ea0260 · outbound

This paper cites Corboz, Variational optimization with infinite pro- jected entangled-pair states, Phys.

Implicit differentiation of tensor network algorithms Corboz, Variational optimization with infinite pro- jected entangled-pair states, Phys

Reference 21

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Implicit differentiation of tensor network algorithms Vanderstraeten, J

Reference 22

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Observation fe20840d-fafc-40cd-8259-f0746739c219 · outbound

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Implicit differentiation of tensor network algorithms Nishino and K

Reference 23

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Implicit differentiation of tensor network algorithms Or´ us and G

Reference 24

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Implicit differentiation of tensor network algorithms Jordan, R

Reference 25

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Implicit differentiation of tensor network algorithms Haegeman and F

Reference 26

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Implicit differentiation of tensor network algorithms Zauner-Stauber, L

Reference 27

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Implicit differentiation of tensor network algorithms Liao, J.-G

Reference 28

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Implicit differentiation of tensor network algorithms Hasik, D

Reference 29

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Implicit differentiation of tensor network algorithms Ponsioen, F

Reference 30

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Implicit differentiation of tensor network algorithms Unresolved cited work

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Implicit differentiation of tensor network algorithms Zhang, S

Reference 32

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Implicit differentiation of tensor network algorithms Unresolved cited work

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Implicit differentiation of tensor network algorithms Unresolved cited work

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Implicit differentiation of tensor network algorithms Simulating fermionic fractional Chern insulators with infinite projected entangled-pair states

Reference 35

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Implicit differentiation of tensor network algorithms Christianson, Reverse accumulation and attractive fixed points, Optim

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Implicit differentiation of tensor network algorithms Naumann, E

Reference 37

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Implicit differentiation of tensor network algorithms Francuz, N

Reference 38

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Implicit differentiation of tensor network algorithms Unresolved cited work

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Implicit differentiation of tensor network algorithms Efficient and Modular Implicit Differentiation

Reference 40

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Implicit differentiation of tensor network algorithms Nocedal and S

Reference 41

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Observation f4d5154b-6fa0-46f2-a9e1-822fff7e92d2 · outbound

This paper cites Vanderstraeten, L.

Implicit differentiation of tensor network algorithms Vanderstraeten, L

Reference 44

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Observation 1790a64e-a9a0-4388-ab7f-c9b4f5924fae · outbound

This paper cites Nietner, B.

Implicit differentiation of tensor network algorithms Nietner, B

Reference 45

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Observation 58d43cdf-5697-4890-a2c9-5e4a52da366a · outbound

This paper cites Hauru, M.

Implicit differentiation of tensor network algorithms Hauru, M

Reference 46

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Observation 7f6c777d-8f8e-4626-97ab-72cf3ce20db0 · outbound

This paper cites Accelerating two-dimensional tensor network contractions using QR decompositions.

Implicit differentiation of tensor network algorithms Accelerating two-dimensional tensor network contractions using QR decompositions

Reference 47

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Observation 89dec32e-fe55-4064-906f-21d054a1a585 · outbound

This paper cites Hodgkiss, L.

Implicit differentiation of tensor network algorithms Hodgkiss, L

Reference 48

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source=pdf_text observed=2026-08-02T00:28:21.044393Z digest=sha256:9529356da5c06afd2b13a15864ee8051161f64b1f384b44d5a4ac050a478f54a

Observation 57753f52-8e0b-4193-89e5-0fd9a22ae2d4 · outbound

This paper cites Vanhecke, M.

Implicit differentiation of tensor network algorithms Vanhecke, M

Reference 49

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source=pdf_text observed=2026-08-02T00:28:21.279073Z digest=sha256:7fdf2fa5fbc28c14117b310dfe0d19b5dfd5ed54371d594f1ed07b5f925fb1ce

Observation db309eed-6766-4332-8570-31929adb812c · outbound

This paper cites Vanderstraeten, J.

Implicit differentiation of tensor network algorithms Vanderstraeten, J

Reference 50

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source=pdf_text observed=2026-08-02T00:28:21.393834Z digest=sha256:00edeb5803628c1e79c0e9646a6d8f1123c38cb2c1f79c945673d961fd400dcd

Observation 2c7530ca-57a5-474e-a94c-51334f115272 · outbound

This paper cites Corboz, J.

Implicit differentiation of tensor network algorithms Corboz, J

Reference 51

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source=pdf_text observed=2026-08-02T00:28:21.484575Z digest=sha256:493fc0b6d591b9b3398d6308e9f1a03c7233bca9a53f5e562f6f438df0aa7a29

Observation ab787c33-c80b-46f1-9045-b23905e40e9a · outbound

This paper cites PEPSKit.jl: A Julia package for projected entangled-pair state simulations.

Implicit differentiation of tensor network algorithms PEPSKit.jl: A Julia package for projected entangled-pair state simulations

Reference 52

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source=pdf_text observed=2026-08-02T00:28:21.676129Z digest=sha256:72a669dd1da5e5a0c7bf6ec8caf3a9dd816bfbb8fdc2114c60566065ee519f07

Observation cc33e0e3-2f64-4d8e-aca7-cbb62d9f83cd · outbound

This paper cites Devos, M.

Implicit differentiation of tensor network algorithms Devos, M

Reference 53

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source=pdf_text observed=2026-08-02T00:28:21.746634Z digest=sha256:232b1df196ff614840d6e7babd097906c1c6082a0a06d564e5e33789c8293a8e

Observation 1cf3cef1-386c-47ad-a46d-e2f53ab6991d · outbound

This paper cites TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory.

Implicit differentiation of tensor network algorithms TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory

Reference 54

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source=pdf_text observed=2026-08-02T00:28:21.929211Z digest=sha256:4286e54ecf6f3462726bfa225941f8342a8f52dc1e73edf07070540a1fd34c05

Observation 366d42ec-97ac-463b-93cc-52d1935fa555 · outbound

This paper cites Burgelman and P.

Implicit differentiation of tensor network algorithms Burgelman and P

Reference 55

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source=pdf_text observed=2026-08-02T00:28:22.066353Z digest=sha256:852af707253450ecb257b4efc374ac9ce3822fd75c18fc160397143bcad2d620

Observation 029b21a9-aeb3-4137-886e-2c6b56ac3e46 · outbound

This paper cites an unresolved cited work.

Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 56

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source=pdf_text observed=2026-08-02T00:28:22.131284Z digest=sha256:c06de279758866bf2982832816bf4cfd1ebd372b31463d74ebaf59cbc7176b65

Observation bd76739d-7977-4e6e-9ea0-edd4faced88b · outbound

This paper cites Vanderstraeten, J.

Implicit differentiation of tensor network algorithms Vanderstraeten, J

Reference 57

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source=pdf_text observed=2026-08-02T00:28:22.272642Z digest=sha256:8836b3e3f52b006ce6f5113f9371c73fcbe19d5f66a753555ba4947dbaad5f02

Observation 9a79f332-7b37-45da-8065-7c9a5e67680b · outbound

This paper cites NCON: A tensor network contractor for MATLAB.

Implicit differentiation of tensor network algorithms NCON: A tensor network contractor for MATLAB

Reference 58

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source=pdf_text observed=2026-08-02T00:28:22.399303Z digest=sha256:9be309f6f638c0ecccf61e25418c76b84602ce16bd4313c4899def6bf60af7fd

Observation a8a1f7ae-399b-4b32-8d4d-eaf18d6b1a37 · outbound

This paper cites This approach is entirely equivalent, and can even be implemented by only tracking the ad- joint variables as defined above.

Implicit differentiation of tensor network algorithms This approach is entirely equivalent, and can even be implemented by only tracking the ad- joint variables as defined above

Reference 59

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source=pdf_text observed=2026-08-02T00:28:22.563752Z digest=sha256:e989ba9f43c143e1b3d2ba0b749599720312f380a6e826d9197c277857469382

Observation 9f55991c-9098-46bc-b33c-4e0f946a1861 · outbound

This paper cites an unresolved cited work.

Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 60

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source=pdf_text observed=2026-08-02T00:28:22.682238Z digest=sha256:ed5cb0077e51fd717edfe3a4670e9cd9fdf1b41e3bf142476761e99bbf7e2ad2

Observation 8fa8e724-92be-4c5e-b218-6573eea51027 · outbound

This paper cites Xie, J.-G.

Implicit differentiation of tensor network algorithms Xie, J.-G

Reference 61

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Observation 9487c5d8-f54e-4aee-8358-240beb6b8eb9 · outbound

This paper cites Corboz, S.

Implicit differentiation of tensor network algorithms Corboz, S

Reference 62

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source=pdf_text observed=2026-08-02T00:28:22.862481Z digest=sha256:9f2160cd23e3393a0a5f860a480158a336e06947ed1e444d762685209e7b23ed

Observation 502c34b2-9b9a-42f0-809a-d3c4af5b4c92 · outbound

This paper cites an unresolved cited work.

Implicit differentiation of tensor network algorithms Unresolved cited work

Reference 63

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source=pdf_text observed=2026-08-02T00:28:22.998056Z digest=sha256:763e59efd331b9c520ce59cac82fa32ec5a645d7fd0ee3babf23e584bd98b13f

Pith citing papers

Observation 0b9fcb2e-9246-4dcc-8b56-54e691a51139 · inbound

On the origin of finite entanglement scaling cites this paper.

On the origin of finite entanglement scaling Implicit differentiation of tensor network algorithms

Reference 23

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source=pdf_text observed=2026-08-02T00:10:29.252808Z digest=sha256:31f9f4574ff6f8ca5591e3f11905cbcb92fd153cdc12bdc6962c9d2fc3bae957