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Paper Citation Record · LEDGER

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof

As of 7 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 3 inbound Pith citation observations for arXiv:2507.02783.

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

pith.paper-citation-record.v1
2507.02783 v2

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:43.381514Z

measured 63 of 63 standing notices

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:38.366047Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:30:52.554029Z

Reference resolution

60 of 60 outbound references displayed

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Outbound references

Observation 11691ae9-30bf-423d-bd49-66a2195b5a27 · outbound

This paper cites Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof

Reference 1

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Observation ba665828-b28d-4a5d-9b16-d6151d29641d · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 2

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Observation c90fb842-0636-4c9b-adce-98dfd6924bdd · outbound

This paper cites The central result of this section is the following theorem, which provides a uniform-in-hupper bound on the local error for the semiclassical Schr¨ odinger operators.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof The central result of this section is the following theorem, which provides a uniform-in-hupper bound on the local error for the semiclassical Schr¨ odinger operators

Reference 3

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Observation 23ce467f-6dc1-4c5c-9ee6-1b296fa58b82 · outbound

This paper cites For completeness, we begin by introducing the underlying Lie algebra in a spatially continuous setting and reviewing its key properties.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof For completeness, we begin by introducing the underlying Lie algebra in a spatially continuous setting and reviewing its key properties

Reference 4

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Observation e94c022d-dbd2-4a8f-94d5-33f054b65502 · outbound

This paper cites The primary purpose of this section is to illustrate the behavior of higher-order Trotter-Suzuki formulas together with spatial discretization.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof The primary purpose of this section is to illustrate the behavior of higher-order Trotter-Suzuki formulas together with spatial discretization

Reference 5

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Observation 243adb95-e80b-415a-a8c7-ec35b6022c81 · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 6

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Observation 46328a32-e0f9-469c-b5a7-328e8fbcc6d8 · outbound

This paper cites Simulating physics with computers.International Journal of Theoretical Physics, 21(6):467–488, 1982.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Simulating physics with computers.International Journal of Theoretical Physics, 21(6):467–488, 1982

Reference 7

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Observation 8b089713-9117-4c89-a451-cdd670684594 · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 8

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Observation 6e655555-ba6b-4b76-9291-2a87216bee9a · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-06T20:40:39.180824Z digest=sha256:4dff719db0d8bf9e32f9faf544aea8e815f3a40a0cc559becf924ca1be01a832

Observation c0f96586-a83e-4aac-9176-b4f80f438be1 · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 10

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Observation bb455507-b9d0-496b-bee0-0b2808890236 · outbound

This paper cites Computing quantum dynamics in the semiclassical regime.Acta Numer., 29:229–401, 2020.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Computing quantum dynamics in the semiclassical regime.Acta Numer., 29:229–401, 2020

Reference 11

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Observation 1dc67352-4c20-4d63-ab4c-60e235f22d26 · outbound

This paper cites Zurich Lectures in Advanced Mathematics.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Zurich Lectures in Advanced Mathematics

Reference 12

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Observation a3240066-ea08-430d-bb32-2ebcf5bee9d1 · outbound

This paper cites Hagedorn and Alain Joye.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Hagedorn and Alain Joye

Reference 13

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Observation 58fb2439-8258-4ce5-9b66-1583833a3144 · outbound

This paper cites Quantum algorithms for escaping from saddle points.Quantum, 5:529, Aug 2021.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum algorithms for escaping from saddle points.Quantum, 5:529, Aug 2021

Reference 14

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Observation c77cbfb2-d6f4-46ea-95dc-62252931efca · outbound

This paper cites Su, and Tongyang Li.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Su, and Tongyang Li

Reference 15

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Observation f7c5dc75-9e87-472b-b8d9-e88d7b8a63bf · outbound

This paper cites Quantum Hamiltonian Descent.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum Hamiltonian Descent

Reference 16

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source=pdf_text observed=2026-08-06T20:40:39.738818Z digest=sha256:2b14f61dfe88057e3400221aa22d92845db733d1eb9ecd149c386cc6cc52d4d3

Observation a10ec5b1-ae2c-4146-9a00-7a2db98fa085 · outbound

This paper cites Mathematical and computational methods for semiclassical Schr¨ odinger equations.Acta Numer., 20:121–209, 2011.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Mathematical and computational methods for semiclassical Schr¨ odinger equations.Acta Numer., 20:121–209, 2011

Reference 17

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Observation 2211639b-25df-4cf6-94f3-219e2d7bb1d7 · outbound

This paper cites Uniform observable error bounds of Trotter formulae for the semiclassical Schr¨ odinger equation.Multiscale Modeling & Simulation, 23(1):255–277, 2025.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform observable error bounds of Trotter formulae for the semiclassical Schr¨ odinger equation.Multiscale Modeling & Simulation, 23(1):255–277, 2025

Reference 18

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Observation 6e2aec96-5bab-4e4e-bc96-d1846a71986f · outbound

This paper cites Quantum simulation in the semi-classical regime.Quantum, 6:739, June 2022.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum simulation in the semi-classical regime.Quantum, 6:739, June 2022

Reference 19

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Observation d70fc20d-8bc0-4c1f-a691-4700aca3bbf3 · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

Reference 20

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Observation 0cf0446e-fc14-4fc7-acb2-b761fd4b2120 · outbound

This paper cites Markowich.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Markowich

Reference 21

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source=pdf_text observed=2026-08-06T20:40:40.334222Z digest=sha256:be397753d5364f200671f05940840e652ed0af678d2a40a68084645b37748f43

Observation b7b2bea1-cce9-40ae-9b15-9b73faa420b4 · outbound

This paper cites Markowich.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Markowich

Reference 22

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source=pdf_text observed=2026-08-06T20:40:40.461703Z digest=sha256:6e6ab1d6bd7c865f10e7f18598fb18b65997d607f95d598145e120aa690f89d9

Observation b7d110e7-ea89-4cc3-8df1-ace3f341820e · outbound

This paper cites On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semiclassical limit.SIAM J.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semiclassical limit.SIAM J

Reference 23

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Observation e9e0f534-4617-4853-bdb0-194989147205 · outbound

This paper cites On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semi-classical limit II.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semi-classical limit II

Reference 24

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source=pdf_text observed=2026-08-06T20:40:40.657248Z digest=sha256:314ffd74048213d1e437bd7a18c17a9135be8b2c9ea60054c55688b8f359cee1

Observation cc5db4de-8eb6-4584-bb5a-685ab3b53610 · outbound

This paper cites On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm

Reference 25

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source=pdf_text observed=2026-08-06T20:40:41.438260Z digest=sha256:77912edf66050900c5f42f4f05792c4149e71bb1ccac2e8bf6065c61bdcd9b28

Observation 4b97d4ed-0c08-456b-936c-612ff6d21cee · outbound

This paper cites A poisson integrator for Gaussian wavepacket dynamics.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof A poisson integrator for Gaussian wavepacket dynamics

Reference 26

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source=pdf_text observed=2026-08-06T20:40:40.860150Z digest=sha256:1798392b7508fb6ac12557daad326ba34cfa96d8790dfc38d580856211263449

Observation fb141912-f423-4c3a-b50d-7d80bdff5a8e · outbound

This paper cites Gaussian beam methods for the Schrodinger equation in the semi- classical regime: Lagrangian and Eulerian formulations.Commun.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Gaussian beam methods for the Schrodinger equation in the semi- classical regime: Lagrangian and Eulerian formulations.Commun

Reference 27

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source=pdf_text observed=2026-08-06T20:40:40.942065Z digest=sha256:5a168e3d80d7b6df0347c218ba91058d5b362dfe5604f3061bbbe789e597bc93

Observation 6914fd2d-92f5-49c4-9b6d-6b07bdbdb756 · outbound

This paper cites Computing semiclassical quantum dy- namics with Hagedorn wavepackets.SIAM Journal on Scientific Computing, 31(4):3027–3041,.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Computing semiclassical quantum dy- namics with Hagedorn wavepackets.SIAM Journal on Scientific Computing, 31(4):3027–3041,

Reference 28

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source=pdf_text observed=2026-08-06T20:40:41.032590Z digest=sha256:6a42f89b83b1f7464260ac79199110d09e849fc64e13a4b522c85a850f8f534b

Observation 9b161cda-4498-46eb-8ba6-5ec72b10b13a · outbound

This paper cites On the convergence of time splitting methods for quantum dynamics in the semiclassical regime.Found.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the convergence of time splitting methods for quantum dynamics in the semiclassical regime.Found

Reference 29

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source=pdf_text observed=2026-08-06T20:40:41.796400Z digest=sha256:74c3db421e9aee5937d20ff980111a89259bd6f5b81f9b294a527bfebfe7817a

Observation 43d85d2b-3b06-4c05-a57e-d9b190704615 · outbound

This paper cites Effective approx- imation for the semiclassical Schr¨ odinger equation.Foundations of Computational Mathe- matics, 14(4):689–720, 2014.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Effective approx- imation for the semiclassical Schr¨ odinger equation.Foundations of Computational Mathe- matics, 14(4):689–720, 2014

Reference 30

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

source=pdf_text observed=2026-08-06T20:40:41.203726Z digest=sha256:563dde7d172cc4ff33e87ce79ca2f497abeee4921600076e7fef9b804f086b23

Observation cbdfadce-7389-435a-b8bc-1c267612eb17 · outbound

This paper cites An efficient time-splitting method for the Ehrenfest dynamics.Multiscale Modeling & Simulation, 16(2):900–921, 2018.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof An efficient time-splitting method for the Ehrenfest dynamics.Multiscale Modeling & Simulation, 16(2):900–921, 2018

Reference 31

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source=pdf_text observed=2026-08-06T20:40:41.282554Z digest=sha256:66d1480c25a0d8949f665a9bbe7b3d00a7f31a30b30fb088b843db33086b440c

Observation 228ec9ab-df60-43ea-82cb-0b15c3a816f2 · outbound

This paper cites Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits, 2022.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits, 2022

Reference 32

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

source=pdf_text observed=2026-08-06T20:40:41.365989Z digest=sha256:e40451500e8a7f41af2d56a1c0c5ffb3790ac1a50064db3a551886a3ae804e61

Observation e6b0ff33-4046-4101-8aa2-d524bda9884a · outbound

This paper cites CRC press, 2025.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof CRC press, 2025

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:42.246290Z digest=sha256:c8f822bbb89f64499d5920782ec3f89bc10e132583b31c72743d453782411608

Observation 6fd3ef4a-eba7-4306-993a-71566461ef7d · outbound

This paper cites On the approximation of the von Neumann equation in the semi-classical limit.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the approximation of the von Neumann equation in the semi-classical limit

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source=pdf_text observed=2026-08-06T20:40:41.551601Z digest=sha256:4e17b506cf401fec5a172493385eb6fd5825b7899669266a16cf8c44eb89ec5d

Observation 81c7b8e7-e00f-4241-b369-a125c25a92a5 · outbound

This paper cites Mathematical theory and numerical methods for Bose-Einstein condensation.Kinetic & Related Models, 6(1):1–135, 2013.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Mathematical theory and numerical methods for Bose-Einstein condensation.Kinetic & Related Models, 6(1):1–135, 2013

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source=pdf_text observed=2026-08-06T20:40:41.645814Z digest=sha256:06eade086bb180b74e7580df15c65a6f92e8e873035eefc8a9af3854d0be2ba3

Observation 443cb2ac-407e-430a-8784-da2f31e6e5aa · outbound

This paper cites Quantitative observability for the Schr¨ odinger and Heisenberg equations: An optimal transport approach.Mathematical Models and Methods in Applied Sciences, 32(05):941–963, 2022.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantitative observability for the Schr¨ odinger and Heisenberg equations: An optimal transport approach.Mathematical Models and Methods in Applied Sciences, 32(05):941–963, 2022

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source=pdf_text observed=2026-08-06T20:40:41.719518Z digest=sha256:85096478cbbde7b03146edf3432570cfa14ecee04e3faacd31fa54719ef47565

Observation 443c13fd-1b6a-4581-be74-0769e9cfd87d · outbound

This paper cites Childs, Yuan Su, Minh C.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Childs, Yuan Su, Minh C

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Resolution
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source=pdf_text observed=2026-08-06T20:40:42.609845Z digest=sha256:c9d1dd40bd63966024cbdb64590598e1b4d5f457d1ae3c4156ea26262a10fb7a

Observation bb81dc5a-fd00-49f9-88bd-f59a1f12cc88 · outbound

This paper cites Observable error bounds of the time-splitting scheme for quantum-classical molecular dynamics.SIAM Journal on Numerical Analysis, 61(1):26–44,.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Observable error bounds of the time-splitting scheme for quantum-classical molecular dynamics.SIAM Journal on Numerical Analysis, 61(1):26–44,

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raw_fallback, observed 2026-08-06T20:40:49.458722Z

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

source=pdf_text observed=2026-08-06T20:40:41.894213Z digest=sha256:1e4b88bfb27847b568187b0910de55caf51036a3ab8958f9db653b79952c03e2

Observation 9daab898-73e1-44e5-b84b-aee61ef0241c · outbound

This paper cites Efficient methods for linear Schr¨ odinger equation in the semiclassical regime with time-dependent potential.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Efficient methods for linear Schr¨ odinger equation in the semiclassical regime with time-dependent potential

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Resolution
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raw_fallback, observed 2026-08-06T20:40:48.387881Z

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.

source=pdf_text observed=2026-08-06T20:40:42.714060Z digest=sha256:17eaa9164dad980e48727e7f49f795509eaf794b19589e4757f2c827be4b4d05

Observation 460450e0-e23d-45d3-8114-6cf98447b0e6 · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

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Resolution
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doi, observed 2026-08-06T20:40:44.717580Z

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.

source=pdf_text observed=2026-08-06T20:40:42.028456Z digest=sha256:a803ff7ac190ebb6ae97e457530f10b2567ca704fc40c82fb1afe5e3f5201634

Observation 95df5eae-61b3-4582-ab67-203f4c9c931b · outbound

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Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Construction of higher order symplectic integrators.Phys

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:42.109160Z digest=sha256:2057fa6359c70a1ada32bb261825dcf6cb993d2bead9309d73fb2ad04a553d34

Observation f9c27bd2-8709-4c59-9b80-49975d930458 · outbound

This paper cites Huyghebaert and H.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Huyghebaert and H

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doi, observed 2026-08-06T20:40:43.862580Z

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

source=pdf_text observed=2026-08-06T20:40:42.914962Z digest=sha256:4d0a0b19774cf7226ee2e12f4138fa6f258c5e4200bbf7eff35e7371591a0f7d

Observation e4f9261e-9d2a-4371-a5b4-7e286c1281af · outbound

This paper cites Splitting and composition methods in the numerical integration of differential equations.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Splitting and composition methods in the numerical integration of differential equations

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source=pdf_text observed=2026-08-06T20:40:42.337990Z digest=sha256:fd615a32a35c069e37b55c37a56f7816b464b56fc59227f6c7b16f005b9c692f

Observation af85ace2-f1a8-43bc-ad4e-ea4fcc9b5906 · outbound

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Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Zworski.Semiclassical Analysis

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source=pdf_text observed=2026-08-06T20:40:42.436276Z digest=sha256:4b21ec532ab4d9d7fc1391f8a5881c7917f7b6e42a6019f97dc5d6f80df97b97

Observation d6dcb46a-708e-48dc-a73e-52ff54e026cf · outbound

This paper cites an unresolved cited work.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work

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Resolution
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doi, observed 2026-08-06T20:40:44.389830Z

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.

source=pdf_text observed=2026-08-06T20:40:42.534524Z digest=sha256:4957f6d75fa136983d6d384be38b05cef244b87153041f4ead2361fb8f50b83d

Observation 2d04f977-3510-4819-bf1e-c399917fd6e5 · outbound

This paper cites Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence.Communications in Mathematical Physics, 406 (6), May 2025.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence.Communications in Mathematical Physics, 406 (6), May 2025

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

source=pdf_text observed=2026-08-06T20:40:43.167074Z digest=sha256:c6cabcbd33b7361ada6bcc1608eb2609916fd7966ae267cc25653a95e8a1aec5

Observation e67d0dbf-9ed3-4d5e-9c0a-d08b9aa6a5c6 · outbound

This paper cites Algebraic theory for higher-order methods in computational quantum mechanics.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Algebraic theory for higher-order methods in computational quantum mechanics

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local_arxiv, observed 2026-08-06T20:40:48.612610Z

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

source=pdf_text observed=2026-08-06T20:40:42.661607Z digest=sha256:adb09fdcb4c26a95996876116e2c9cb4dfa88d14766efeb280c84bcd55b9c1d3

Observation 834239b8-020f-4c62-bfc9-98d8f70958da · outbound

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Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials, 2025

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source=pdf_text observed=2026-08-06T20:40:43.288280Z digest=sha256:805eed8b84dc3810a9c74f982b13d3f7925bce575557ccc4f7680890fca5e603

Observation 15618883-0b87-4643-9b36-9835e1f7c65b · outbound

This paper cites Magnus–Lanczos methods with sim- plified commutators for the Schr¨ odinger equation with a time-dependent potential.SIAM Journal on Numerical Analysis, 56(3):1547–1569, 2018.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Magnus–Lanczos methods with sim- plified commutators for the Schr¨ odinger equation with a time-dependent potential.SIAM Journal on Numerical Analysis, 56(3):1547–1569, 2018

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

source=pdf_text observed=2026-08-06T20:40:42.767077Z digest=sha256:a1707710ddf225ce81ff9e54343a8ef762bfdddcd368458a81bcb908e7b4f48c

Observation dcba85a4-e474-4946-b07e-fe41ff584d1b · outbound

This paper cites Compact schemes for laser–matter in- teraction in Schr¨ odinger equation based on effective splittings of magnus expansion.Computer Physics Communications, 234:195–201, 2019.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Compact schemes for laser–matter in- teraction in Schr¨ odinger equation based on effective splittings of magnus expansion.Computer Physics Communications, 234:195–201, 2019

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:42.839523Z digest=sha256:df92f6979c29281036c9c2a552d68af8d3f271c25dc83fed5a6f9383cbe96b7f

Observation 7e0bf190-5b08-48f1-94a4-7e18e9e6c7f9 · outbound

This paper cites Time-dependent unbounded Hamiltonian simulation with vector norm scaling.Quantum, 5:459, may 2021.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-dependent unbounded Hamiltonian simulation with vector norm scaling.Quantum, 5:459, may 2021

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Resolution
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doi, observed 2026-08-06T20:40:43.788775Z

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.

source=pdf_text observed=2026-08-06T20:40:42.971446Z digest=sha256:f5328e8cae4bfafa2819cca16d6b8e25a98f0a0a2a9177a3950032b119099fde

Observation 1e90c2f0-3578-4e6a-93b9-c75066c14e47 · outbound

This paper cites Ikeda, and Keisuke Fujii.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Ikeda, and Keisuke Fujii

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:43.037002Z digest=sha256:fd34dcf4748140f03758eb0eae39547ff15d403a065740f66cd57717c63614a9

Observation bab35c86-42dd-4b4d-b7e5-ac51b93b8ede · outbound

This paper cites Time-dependent Hamiltonian Simulation of Highly Os- cillatory Dynamics and Superconvergence for Schr¨ odinger Equation.Quantum, 6:690, April.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-dependent Hamiltonian Simulation of Highly Os- cillatory Dynamics and Superconvergence for Schr¨ odinger Equation.Quantum, 6:690, April

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Resolution
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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.

source=pdf_text observed=2026-08-06T20:40:43.082877Z digest=sha256:fcc9cba054da6eb1c84f7995337b6e287ee08241001a10b750e988ecdfdba2dd

Observation 56592ea4-9e95-4c75-ba09-7bf76ce27fde · outbound

This paper cites Discrete superconvergence analysis for quantum magnus algorithms of unbounded hamiltonian simulation.Communications in Mathematical Physics, 407(2), January 2026.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Discrete superconvergence analysis for quantum magnus algorithms of unbounded hamiltonian simulation.Communications in Mathematical Physics, 407(2), January 2026

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

source=pdf_text observed=2026-08-06T20:40:43.239850Z digest=sha256:4cf1f939eb9e66eff92c099f918f847ed7670e2e4dd5af7487831c096e12f2cf

Observation cc207aec-2c4a-48c6-8d57-8e4e5acd15e6 · outbound

This paper cites Strong error bounds for Trotter and strang-splittings and their implications for quantum chem- istry.Physical Review Research, 6(4), November 2024.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Strong error bounds for Trotter and strang-splittings and their implications for quantum chem- istry.Physical Review Research, 6(4), November 2024

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:43.336328Z digest=sha256:bb0c1380eda82ac6b92e65dcd9eb90821f6c056d1188ef47010e98c29b045b02

Observation a9f352dd-b9ad-40b9-8bb0-b2f62ee33918 · outbound

This paper cites Convergence Rates for the Trotter Splitting for Unbounded Operators.Foundations of Computational Mathematics, September 2025.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Convergence Rates for the Trotter Splitting for Unbounded Operators.Foundations of Computational Mathematics, September 2025

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:43.381514Z digest=sha256:827379f5d5c9465a8bdb459a19219b948070eec0c84da2621f8aa2d8026ff765

Observation 6499a185-7e2b-414b-a1fa-7a7a1514e9e5 · outbound

This paper cites URL https://doi.org/10.1137/080729724.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof URL https://doi.org/10.1137/080729724

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

source=pdf_text observed=2026-08-06T20:40:41.133287Z digest=sha256:e9f5c885284d874ba05d3a9a52e895b6f4a35b16e5d992ad9fb4b2ad2830afe5

Observation d745a671-e98e-4e3b-8716-821565a62c18 · outbound

This paper cites doi: 10.1007/s00211-016-0841-y.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof doi: 10.1007/s00211-016-0841-y

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

source=pdf_text observed=2026-08-06T20:40:40.783229Z digest=sha256:ac53456722775c9d941d72cba363a30af9764d25f1e5fd7ca063aa398f02c9e3

Observation ad07701b-7401-4767-b640-3537682e44c7 · outbound

This paper cites doi: 10.22331/q-2022-04-15-690.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof doi: 10.22331/q-2022-04-15-690

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Resolution
verified exact
doi, observed 2026-08-06T20:40:43.689241Z

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

source=pdf_text observed=2026-08-06T20:40:43.117949Z digest=sha256:26b472bdd9465f2e355aae7e95c55e6cf68e74c6a09acfd8513032b1bba48260

Observation d561ffad-d41f-44a1-bfb9-31677a68ae47 · outbound

This paper cites URL https://doi.org/10.1137/21M1462349.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof URL https://doi.org/10.1137/21M1462349

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Resolution
verified exact
doi, observed 2026-08-06T20:40:45.019247Z

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

source=pdf_text observed=2026-08-06T20:40:41.956006Z digest=sha256:e83c2b987a212a2133f06df876bd32005609b3841ae71e6c517839127d47111a

Pith citing papers

Observation 11691ae9-30bf-423d-bd49-66a2195b5a27 · inbound

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof cites this paper.

Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:40:38.366047Z digest=sha256:1905adb9aa589bf40d898dc7767c482731d97940604480159ec8ce6c80a32154

Observation f9be7d2a-abbc-4b55-87e9-5dc1a09e019c · inbound

High-order Magnus Expansion for Hamiltonian Simulation cites this paper.

High-order Magnus Expansion for Hamiltonian Simulation Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T04:46:45.495708Z digest=sha256:a141c1db0982c60bc5d74bdee51a7beb26846fea3ddaef4f42f33ce15b3be6ec

Observation e2f427d1-8df4-4977-94d6-65e112386c72 · inbound

Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements cites this paper.

Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof

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arxiv_id, observed 2026-06-23T04:14:06.994800Z

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

source=pdf_text observed=2026-05-10T18:29:35.042812Z digest=sha256:3bc93f495cbcd62345efbb218e377e9e1c8fe52427633324ffd25b7a5222ba4c