Paper Citation Record · LEDGER

Quantum model reduction based on Oja's flow

As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.26669.

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

pith.paper-citation-record.v1
2607.26669 v1

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measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T11:16:11.530286Z

measured 46 of 46 standing notices

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Outbound references

Observation 06271a03-83ac-4eff-a289-0642845e6843 · outbound

This paper cites an unresolved cited work.

Quantum model reduction based on Oja's flow Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:05.054228Z

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Observation 8c9e5025-f3cf-4ef7-8cdc-4d7206350163 · outbound

This paper cites Scully and M.

Quantum model reduction based on Oja's flow Scully and M

Reference 2

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Observation 144e0e07-ec84-475e-8c25-a79afd133976 · outbound

This paper cites Cambridge University Press, 2021.

Quantum model reduction based on Oja's flow Cambridge University Press, 2021

Reference 3

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Observation e50e4e31-bb9d-4ecb-8a9e-b70a47afe642 · outbound

This paper cites Oxford University Press, Oxford, 1 edition, January 2007.

Quantum model reduction based on Oja's flow Oxford University Press, Oxford, 1 edition, January 2007

Reference 4

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Observation 019dc1eb-8a8f-422f-8db4-8f2418962028 · outbound

This paper cites Huelga.Open Quantum Systems: An Introduction.

Quantum model reduction based on Oja's flow Huelga.Open Quantum Systems: An Introduction

Reference 5

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Observation 2fd66285-692f-4f30-868f-43fdaf39d8a9 · outbound

This paper cites A practical introduction to tensor networks: Matrix product states and projected entangled pair states.

Quantum model reduction based on Oja's flow A practical introduction to tensor networks: Matrix product states and projected entangled pair states

Reference 6

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Observation 529b706d-084d-4838-9dea-e701da3c2bdd · outbound

This paper cites Ignacio Cirac.

Quantum model reduction based on Oja's flow Ignacio Cirac

Reference 7

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Observation f9a3edce-a77b-4002-a2f5-9eb4e0b598f4 · outbound

This paper cites Lecture Notes in Physics.

Quantum model reduction based on Oja's flow Lecture Notes in Physics

Reference 8

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Observation c259ba20-bbb3-471b-a47c-149c508935bc · outbound

This paper cites Model reduction for quantum systems: Discrete-time quantum walks and open markov dynamics.IEEE Transactions on Information Theory, 71(11), 2025.

Quantum model reduction based on Oja's flow Model reduction for quantum systems: Discrete-time quantum walks and open markov dynamics.IEEE Transactions on Information Theory, 71(11), 2025

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.383438Z

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Observation 89a99237-de5c-4c81-8c3b-47ec614d79a2 · outbound

This paper cites Exact model reduction for continuous-time open quantum dynamics.Quantum, 9:1814, 2025.

Quantum model reduction based on Oja's flow Exact model reduction for continuous-time open quantum dynamics.Quantum, 9:1814, 2025

Reference 10

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Observation 4fa6ced9-3790-4515-8b62-44790c84a452 · outbound

This paper cites an unresolved cited work.

Quantum model reduction based on Oja's flow Unresolved cited work

Reference 11

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Observation a0a3b3c8-ab9d-4ac4-8a8f-b8075b8f5194 · outbound

This paper cites Huelga, and Martin B.

Quantum model reduction based on Oja's flow Huelga, and Martin B

Reference 12

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Observation 11f7121c-5874-4ada-a055-0e303083e3a9 · outbound

This paper cites Time evolution of a quantum system in contact with a nearly Gaussian- Markoffian noise bath.Journal of the Physical Society of Japan, 58(10):101–114, 1989.

Quantum model reduction based on Oja's flow Time evolution of a quantum system in contact with a nearly Gaussian- Markoffian noise bath.Journal of the Physical Society of Japan, 58(10):101–114, 1989

Reference 13

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Observation 607b2181-99fe-4525-8c8b-cedcbace376b · outbound

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Quantum model reduction based on Oja's flow Unresolved cited work

Reference 14

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Observation 91f7336e-a20d-4703-b96b-78cd1125402a · outbound

This paper cites Towards generic adiabatic elimination for bipartite open quantum systems.Quantum Science and Technology, 2(4):044011, 2017.

Quantum model reduction based on Oja's flow Towards generic adiabatic elimination for bipartite open quantum systems.Quantum Science and Technology, 2(4):044011, 2017

Reference 15

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Observation eef73c9b-e32e-46c8-9223-aaf494c524a6 · outbound

This paper cites Adiabatic elimination and subspace evolution of open quantum systems.

Quantum model reduction based on Oja's flow Adiabatic elimination and subspace evolution of open quantum systems

Reference 16

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Observation 6f973a84-0ff3-469b-99b2-418c736d4783 · outbound

This paper cites Low-rank approximated Kalman-Bucy filters using Oja’s principal component flow for linear time-invariant systems.IEEE Control Systems Letters, 8:1583–1588, 2024.

Quantum model reduction based on Oja's flow Low-rank approximated Kalman-Bucy filters using Oja’s principal component flow for linear time-invariant systems.IEEE Control Systems Letters, 8:1583–1588, 2024

Reference 17

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Observation 59349376-0d56-470c-aa2c-a027411797d1 · outbound

This paper cites Quantum channels & operations: Guided tour, 2012.

Quantum model reduction based on Oja's flow Quantum channels & operations: Guided tour, 2012

Reference 18

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Observation 73b3e4af-7593-4a51-963e-23e70fdd0e62 · outbound

This paper cites Complete positivity violation of the reduced dynamics in higher-order quantum adiabatic elimination.

Quantum model reduction based on Oja's flow Complete positivity violation of the reduced dynamics in higher-order quantum adiabatic elimination

Reference 19

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Observation 27f64948-53d8-48b5-9289-f1827c8de0c9 · outbound

This paper cites Nielsen and Isaac L.

Quantum model reduction based on Oja's flow Nielsen and Isaac L

Reference 20

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Observation 367b2ffa-f0b0-406b-8dc4-7b4bad5b5b78 · outbound

This paper cites Number v.717 in Lecture Notes in Physics Ser.

Quantum model reduction based on Oja's flow Number v.717 in Lecture Notes in Physics Ser

Reference 21

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Observation 781fe532-0905-468b-b133-35af9d2b40f1 · outbound

This paper cites Clarendon Press, Oxford, 1998.

Quantum model reduction based on Oja's flow Clarendon Press, Oxford, 1998

Reference 22

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Observation f48414d7-82b1-4de5-9706-c3fe2e22e441 · outbound

This paper cites A Review of Multiple- Time-Scale Dynamics: Fundamental Phenomena and Mathematical Methods.

Quantum model reduction based on Oja's flow A Review of Multiple- Time-Scale Dynamics: Fundamental Phenomena and Mathematical Methods

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.437521Z

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Observation d17814f6-7e05-4d97-84ec-a1645bb54d0f · outbound

This paper cites Explicit formulas for adiabatic elimination with fast unitary dynamics.

Quantum model reduction based on Oja's flow Explicit formulas for adiabatic elimination with fast unitary dynamics

Reference 24

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Observation 47cd745a-b091-4599-bcc0-8e130e8da05c · outbound

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Quantum model reduction based on Oja's flow Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.445099Z

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Observation 98ce7159-5517-4eef-9273-9ebeff729202 · outbound

This paper cites Projection-based adiabatic elimination of bipartite open quantum systems.Physical Review A, 102(3):032212, 2020.

Quantum model reduction based on Oja's flow Projection-based adiabatic elimination of bipartite open quantum systems.Physical Review A, 102(3):032212, 2020

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.449378Z

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Observation acc9fa2d-b4d7-4ff9-bf10-10b2b473b1ab · outbound

This paper cites Lidar and Todd A.

Quantum model reduction based on Oja's flow Lidar and Todd A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.453194Z

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Observation a2919f75-9b4c-470c-a7eb-cb582697295f · outbound

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Quantum model reduction based on Oja's flow Unresolved cited work

Reference 28

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Observation 1bb9dbf6-988a-47ea-a054-41ff61b62c12 · outbound

This paper cites Quantum wall states for noise mitigation and eternal purity bounds.Quantum Science and Technology, 11(1):015002, March 2026.

Quantum model reduction based on Oja's flow Quantum wall states for noise mitigation and eternal purity bounds.Quantum Science and Technology, 11(1):015002, March 2026

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.461868Z

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Observation 511aa127-20b5-4d51-a801-995f9b2be7af · outbound

This paper cites Numerical method for finding decoherence-free subspaces and its applications.Physical Review A, 87(1):012338, January 2013.

Quantum model reduction based on Oja's flow Numerical method for finding decoherence-free subspaces and its applications.Physical Review A, 87(1):012338, January 2013

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.466024Z

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Observation 0b249f41-7f06-4c4e-b184-18e103abfd01 · outbound

This paper cites Simplified neuron model as a principal component analyzer.Journal of Mathematical Biology, 15:267–273, 1982.

Quantum model reduction based on Oja's flow Simplified neuron model as a principal component analyzer.Journal of Mathematical Biology, 15:267–273, 1982

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.470051Z

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Observation 9b54e590-b5f9-4517-8fba-4c83e5830a6a · outbound

This paper cites Helmke, and J.B.

Quantum model reduction based on Oja's flow Helmke, and J.B

Reference 32

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Observation 2e494e4f-1fd0-42b0-892a-67ae6590ab22 · outbound

This paper cites Global convergence of Oja’s component flow for general square matrices and its applications.Preprint arXiv:2510.00801v2, October 2025.

Quantum model reduction based on Oja's flow Global convergence of Oja’s component flow for general square matrices and its applications.Preprint arXiv:2510.00801v2, October 2025

Reference 33

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Observation 84f61ace-9010-4734-a929-c52a6b611111 · outbound

This paper cites Projection Robust Wasserstein Distance and Riemannian Optimization (supplementary material).

Quantum model reduction based on Oja's flow Projection Robust Wasserstein Distance and Riemannian Optimization (supplementary material)

Reference 34

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Observation 72016281-dd1a-446d-a76d-ab1426a1a67a · outbound

This paper cites Horn and Charles R.

Quantum model reduction based on Oja's flow Horn and Charles R

Reference 35

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Observation 15a54221-763c-4c9b-b500-329fb79ac23b · outbound

This paper cites Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems.SIAM Journal on Control and Optimization, 60(4):2514–2537, 2022.

Quantum model reduction based on Oja's flow Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems.SIAM Journal on Control and Optimization, 60(4):2514–2537, 2022

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.490724Z

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Observation 0b4b3383-55e5-4370-b721-09a9eeab7b70 · outbound

This paper cites On duality between quantum maps and quantum states.Open systems & information dynamics, 11(1):3–42, 2004.

Quantum model reduction based on Oja's flow On duality between quantum maps and quantum states.Open systems & information dynamics, 11(1):3–42, 2004

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.494433Z

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Observation a26340a6-2ec9-41e9-bd7a-f411c5f2820e · outbound

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Quantum model reduction based on Oja's flow Unresolved cited work

Reference 38

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Observation 79e203f0-ffef-41ef-bbf5-5f06c977e1b2 · outbound

This paper cites SpringerBriefs in Electrical and Computer Engineering.

Quantum model reduction based on Oja's flow SpringerBriefs in Electrical and Computer Engineering

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.502548Z

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Observation a6e2c1e7-e4d6-4cf1-84c0-d9082d3ba96f · outbound

This paper cites Analysis of quantum semigroups with GKS–Lindblad generators: II.

Quantum model reduction based on Oja's flow Analysis of quantum semigroups with GKS–Lindblad generators: II

Reference 40

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Observation a3467338-c613-4b8d-a4ac-a259d442a496 · outbound

This paper cites Adiabatic Markovian Dynamics.Physical Review Letters, 105(5):050503, 2010.

Quantum model reduction based on Oja's flow Adiabatic Markovian Dynamics.Physical Review Letters, 105(5):050503, 2010

Reference 41

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Observation b656a27e-90bd-4213-9e3c-a668e7e9a690 · outbound

This paper cites Finding quantum noiseless subsystems: A linear-algebraic approach.

Quantum model reduction based on Oja's flow Finding quantum noiseless subsystems: A linear-algebraic approach

Reference 42

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Observation 875de9c2-9d5c-455f-95ef-5a41b26459d8 · outbound

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Quantum model reduction based on Oja's flow Unresolved cited work

Reference 43

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Observation 36d2dc09-7dad-447c-9ea1-990e1d733c08 · outbound

This paper cites Theory of Quantum Error Correction for General Noise.

Quantum model reduction based on Oja's flow Theory of Quantum Error Correction for General Noise

Reference 44

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Observation 7e675887-dafa-4265-a6e3-ecf5c4c21119 · outbound

This paper cites On Low-Rank Approximation of Kalman- Bucy Filters for Linear Time-Varying Systems.Proceedings of SICE Festival with Annual Conference (to appear), 2026.

Quantum model reduction based on Oja's flow On Low-Rank Approximation of Kalman- Bucy Filters for Linear Time-Varying Systems.Proceedings of SICE Festival with Annual Conference (to appear), 2026

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.526209Z

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Observation db257136-0d02-40a3-9a85-271eec0f4d2b · outbound

This paper cites Convergence Analysis of Natural Power Method and Its Applications to Control.

Quantum model reduction based on Oja's flow Convergence Analysis of Natural Power Method and Its Applications to Control

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T11:16:11.530286Z

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