Paper Citation Record · LEDGER

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 3 inbound Pith citation observations for arXiv:2512.16674.

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

pith.paper-citation-record.v1
2512.16674 v5

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:33:26.511342Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:39:54.451737Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

19 of 19 outbound references displayed

verified exact1
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c127d0f0-31e9-47f1-8830-bddc38b3755d · outbound

This paper cites Mitarai, M.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Mitarai, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.139976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebf0c498-c473-44da-8170-84ce247840ae · outbound

This paper cites Deng, The mnist database of handwritten digit images for machine learning research, IEEE Signal Processing Magazine29, 141 (2012).

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Deng, The mnist database of handwritten digit images for machine learning research, IEEE Signal Processing Magazine29, 141 (2012)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.203280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95c4a61d-e08b-4df8-a6a4-3efadc46d058 · outbound

This paper cites Recio-Armengol, S.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Recio-Armengol, S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.294442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe864608-5102-40e3-bbb2-04bc1b76a8bb · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.355733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a4a984c-d03c-43cd-a01c-54fa9983d6db · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.432744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d2e333a-ca5d-4670-a784-74b951cbfe57 · outbound

This paper cites Angrisani, A.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Angrisani, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.492152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c978c5a-e36d-433b-be87-8e78d8889740 · outbound

This paper cites Bowles, D.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Bowles, D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.574492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afd0bd60-f757-4947-9e45-309e8eca6183 · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-03T15:33:25.641770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 056219f8-ff21-44df-b114-ced8e331c433 · outbound

This paper cites Selke, The annni model—theoretical analysis and ex- perimental application, Physics Reports170, 213 (1988).

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Selke, The annni model—theoretical analysis and ex- perimental application, Physics Reports170, 213 (1988)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.692991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19303faf-ef34-48fd-b033-5feacf03cf80 · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits The Heisenberg Representation of Quantum Computers

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.757314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acc6ff89-1f8b-4b4e-b875-1669605509c3 · outbound

This paper cites Bravyi and A.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Bravyi and A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.820068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb5aba34-581e-4721-bfe4-9219c21c42bd · outbound

This paper cites Li and S.-X.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Li and S.-X

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.889542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a8f9c8-01f6-4a81-a5f4-2ad877303a42 · outbound

This paper cites Tilly, H.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Tilly, H

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:25.948073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3505b4c5-71cb-4344-bc0d-02ca4cfd5fec · outbound

This paper cites Monaco, O.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Monaco, O

Reference 14

Resolution: verified exact; doi, observed 2026-08-03T15:38:35.845447Z

Source-reported events for the cited work

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

Observation d2f14316-9e8a-4364-b371-f4817502c70d · outbound

This paper cites Kottmann, F.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Kottmann, F

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-03T15:33:26.084713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c3195fd-5017-4e6a-9712-6f44e30ffc88 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Adam: A Method for Stochastic Optimization

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:26.152699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb1be63d-21b7-46f0-a149-de6fb3b9a309 · outbound

This paper cites Monaco, J.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Monaco, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:26.238070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3df9dcf8-4607-4210-900b-a734345d606c · outbound

This paper cites PennyLane: Automatic differentiation of hybrid quantum-classical computations.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits PennyLane: Automatic differentiation of hybrid quantum-classical computations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:26.354819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f13e664-7b70-421f-b23f-b33e417a50cf · outbound

This paper cites For any gate set admitting a valid parameter-shift rule.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits For any gate set admitting a valid parameter-shift rule

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T15:33:26.511342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0ea60aba-3f7a-4cfb-9c21-f238ae07d3d7 · inbound

Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm cites this paper.

Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

Reference 101

Resolution: verified exact; local_arxiv, observed 2026-06-29T03:53:04.672801Z

Source-reported events for the cited work

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

Observation 9c7bd7a2-b7e9-45e9-a14f-1b180e68f5c7 · inbound

Backpropagating Pauli Propagation cites this paper.

Backpropagating Pauli Propagation Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T23:57:34.619142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d341122-f434-4359-99d2-cccf50960bd9 · inbound

Stochastic Pauli-path simulator for large-scale quantum optimization cites this paper.

Stochastic Pauli-path simulator for large-scale quantum optimization Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T15:39:54.451737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.