Paper Citation Record · LEDGER

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

As of 7 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2506.12788.

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

pith.paper-citation-record.v1
2506.12788 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:48:24.186574Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:48:18.956553Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:48:27.873073Z

Reference resolution

43 of 43 outbound references displayed

verified exact8
verified fuzzy10
unresolved22
parse uncertain0
malformed identifier1
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 836546db-26ff-4877-b41a-467860991ab6 · outbound

This paper cites (3) Here, xi = 21xm i − 1 for i = 0, 1, 2, 3.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods (3) Here, xi = 21xm i − 1 for i = 0, 1, 2, 3

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T00:48:30.741066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27821b4d-f276-4e48-9fb8-46699644db54 · outbound

This paper cites The average, minimum, and maximum of the result on QTCC are all larger than those of the result on noiseless time propagation, respectively as shown in Table.I.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The average, minimum, and maximum of the result on QTCC are all larger than those of the result on noiseless time propagation, respectively as shown in Table.I

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:30.976856Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fdbf2ee-5a6b-43f4-b27d-856c6178f03d · outbound

This paper cites The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:27.969894Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 11a878e2-8ba4-4e3b-8b1f-5219b074921f · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:19.305367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44a4a557-b1b0-4bf9-b25b-a30399a41945 · outbound

This paper cites Ohzeki, Phys.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Ohzeki, Phys

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:30.535214Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0a2dd45-e473-4b34-b16b-94e4722e5837 · outbound

This paper cites Acharya, I.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Acharya, I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:30.315324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e4495f57-1880-4c66-a5bd-00b3b012cdfb · outbound

This paper cites Georgescu, Nature Reviews Physics 2, 519 (2020).

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Georgescu, Nature Reviews Physics 2, 519 (2020)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:30.084734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0d446337-7263-4d8a-b964-40cfe6a3926e · outbound

This paper cites Ponte, Z.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Ponte, Z

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:29.634757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6481bae1-dc56-4532-99e6-f0280ab9ec83 · outbound

This paper cites Generalized quantum subspace expansion.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Generalized quantum subspace expansion

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:27.743834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0934f18-023f-4380-8140-50eef799a2a4 · outbound

This paper cites Quantum chaos is also used for computing by various ways.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum chaos is also used for computing by various ways

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:31.181871Z

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Observation 4da6c368-2020-42b7-9197-e8c0267b386d · outbound

This paper cites Cai, Quantum 5, 548 (2021).

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Cai, Quantum 5, 548 (2021)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:29.843839Z

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Observation eb10a4f4-27dd-4209-94e0-d3418accd1e2 · outbound

This paper cites Integrable systems and complex geometry.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Integrable systems and complex geometry

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T00:48:27.505466Z

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Observation 9cce5e78-3d99-4d27-88e0-d6450fca9423 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:19.737482Z

Source-reported events for the cited work

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Observation 85d50386-b637-4ff6-be52-596d5e130034 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:48:29.381091Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 22be8232-a70f-460a-a325-42b079d686a2 · outbound

This paper cites Zhang and L.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Zhang and L

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:19.864079Z

Source-reported events for the cited work

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Observation 8ea7f627-9fb2-447b-8a12-c84c4ae2149e · outbound

This paper cites New Reservoir Computing Kernel Based on Chaotic Chua Circuit and Investigating Application to Post-Quantum Cryptography.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods New Reservoir Computing Kernel Based on Chaotic Chua Circuit and Investigating Application to Post-Quantum Cryptography

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:27.273860Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 233b07f5-ee95-46df-be1a-0667f1532c38 · outbound

This paper cites Zhong, Q.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Zhong, Q

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:29.152476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 56b773be-7bde-4c93-98b8-7c8b21c8a67a · outbound

This paper cites Feedback-driven quantum reservoir computing for time-series analysis.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Feedback-driven quantum reservoir computing for time-series analysis

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:20.031181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d0a9b49-6379-4fb2-977c-1b7c0ba70f81 · outbound

This paper cites Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:20.102280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc77a39d-2fb2-4446-9524-d33bbb4b7d89 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:48:28.885315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e97a0bb-d2ad-4ed5-9eb2-8cae84f2d514 · outbound

This paper cites Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:27.003291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a0b6ebb7-aae0-44cf-bbb4-eb8901cc3503 · outbound

This paper cites Quantum Time Crystals.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Time Crystals

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:20.396046Z

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Observation fdbb88d4-f808-4461-9dd4-09452ef3956a · outbound

This paper cites Discrete Time Crystals.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Discrete Time Crystals

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:26.720958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5327f549-946b-4a08-9f19-0d348452790f · outbound

This paper cites Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:26.518659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c5b6c1c0-402d-49e9-9a2f-f8d0d070fe48 · outbound

This paper cites Autti, P.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Autti, P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:28.686095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 682a3727-5f86-469d-b91e-66bdb2a3276c · outbound

This paper cites Wyld, David C.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Wyld, David C

Reference 26

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T00:48:26.247614Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 31c33f91-d190-4de7-ae5b-3258e5e8e7f1 · outbound

This paper cites Quantum Variational Autoencoder.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Variational Autoencoder

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:20.880378Z

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Unavailable: canonical work link unavailable.

Observation 14fb0c7e-3dc1-4f33-8409-b45e33d93ae4 · outbound

This paper cites Supervised learning with quantum enhanced feature spaces.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Supervised learning with quantum enhanced feature spaces

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.044755Z

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Observation 952d7e73-da9a-4498-8d66-197cb1d8134d · outbound

This paper cites Quantum support vector machine for big data classification.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum support vector machine for big data classification

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.147054Z

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Observation f7efea66-bf96-4b9f-94d4-c3a1cab65ddc · outbound

This paper cites Completely Quantum Neural Networks.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Completely Quantum Neural Networks

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.274789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93857312-5b5a-464f-85b1-068008a444e8 · outbound

This paper cites Quantum Distributed Deep Learning Architectures: Models, Discussions, and Applications.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Distributed Deep Learning Architectures: Models, Discussions, and Applications

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.426866Z

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Unavailable: canonical work link unavailable.

Observation ecc2ccb6-7046-4f49-b0e5-c79fc3aadeb0 · outbound

This paper cites Differentiable Learning of Quantum Circuit Born Machine.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Differentiable Learning of Quantum Circuit Born Machine

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.596386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bfd7082-6463-436e-9b42-a5b4080234f6 · outbound

This paper cites Kassal, J.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Kassal, J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:21.779014Z

Source-reported events for the cited work

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Observation 92b25065-89c9-402b-bcdf-5612736f35d3 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:48:28.448643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20d4aed2-d017-4fbf-8142-d67162bf7899 · outbound

This paper cites An adaptive variational algorithm for exact molecular simulations on a quantum computer.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods An adaptive variational algorithm for exact molecular simulations on a quantum computer

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:22.187417Z

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Unavailable: canonical work link unavailable.

Observation 536a4f95-c811-4f14-ab93-cc57d85f516c · outbound

This paper cites Hybrid Quantum/Classical Derivative Theory: Analytical Gradients and Excited-State Dynamics for the Multistate Contracted Variational Quantum Eigensolver.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Hybrid Quantum/Classical Derivative Theory: Analytical Gradients and Excited-State Dynamics for the Multistate Contracted Variational Quantum Eigensolver

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:22.390656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 613a761c-768e-46ef-8d85-9bc55e45cfe3 · outbound

This paper cites Tangent Vector Variational Quantum Eigensolver: A Robust Variational Quantum Eigensolver against the inaccuracy of derivative.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Tangent Vector Variational Quantum Eigensolver: A Robust Variational Quantum Eigensolver against the inaccuracy of derivative

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:25.703538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 00ccfaf2-36be-4f52-8481-e089fde5dba2 · outbound

This paper cites Genetic-Multi-initial Generalized VQE: Advanced VQE method using Genetic Algorithms then Local Search.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Genetic-Multi-initial Generalized VQE: Advanced VQE method using Genetic Algorithms then Local Search

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:48:24.945565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e3443994-778c-4b12-8ae5-c21ccf31012b · outbound

This paper cites Wakaura, A.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Wakaura, A

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:22.941833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d4a1c06-84a7-484f-a8b3-eb90d0c60a60 · outbound

This paper cites Adaptive Variational Quantum Kolmogorov-Arnold Network.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Adaptive Variational Quantum Kolmogorov-Arnold Network

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:23.028135Z

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Unavailable: canonical work link unavailable.

Observation f91460aa-6b0b-455d-b78f-c6dff4af985d · outbound

This paper cites Enhanced Variational Quantum Kolmogorov-Arnold Network.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Enhanced Variational Quantum Kolmogorov-Arnold Network

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:23.184161Z

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Observation 5481f8ce-735d-42da-b514-82eecf32ca54 · outbound

This paper cites The CMA Evolution Strategy: A Tutorial.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The CMA Evolution Strategy: A Tutorial

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:23.378493Z

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Unavailable: canonical work link unavailable.

Observation 92a21e4f-f328-4311-a076-4e03f002899f · outbound

This paper cites Toida, K.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Toida, K

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:48:28.212324Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 7fdbf2ee-5a6b-43f4-b27d-856c6178f03d · inbound