Paper Citation Record · LEDGER

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

As of 9 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

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 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

verified exact26
verified fuzzy10
unresolved20
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:38.366047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:40:51.762426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:51.542222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:51.361747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:51.148405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:40:50.953499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:38.951121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T20:40:50.769098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:39.180824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:40:50.537042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:39.347074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: malformed identifier; no resolver link, observed 2026-08-06T20:40:39.420353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.969532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.809043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.632706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:39.738818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.446168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.287532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:47.118485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:40.172153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:46.945826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:40.461703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:46.683564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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.

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:50.371601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:40:48.992906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:50.251715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:50.033834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:49.868771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:45.344078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:45.849166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified exact; doi, observed 2026-08-06T20:40:45.604138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:49.699201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:42.246290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 34

Resolution: verified exact; raw_fallback, observed 2026-08-06T20:40:48.812060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:41.645814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:41.719518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 37

Resolution: malformed identifier; no resolver link, observed 2026-08-06T20:40:42.609845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:49.458722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 39

Resolution: verified exact; 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 2026-08-09T06:31:02.800959+00:00.

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

Reference 40

Resolution: verified exact; 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 2026-08-09T06:31:02.800959+00:00.

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

This paper cites Construction of higher order symplectic integrators.Phys.

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

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:42.109160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 42

Resolution: verified exact; doi, observed 2026-08-06T20:40:43.862580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:42.337990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Zworski.Semiclassical Analysis.

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

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:42.436276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 45

Resolution: verified exact; 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 2026-08-09T06:31:02.800959+00:00.

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

Reference 46

Resolution: verified exact; doi, observed 2026-08-06T20:40:43.568263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:40:48.612610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

This paper cites On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials, 2025.

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

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:43.288280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 49

Resolution: verified exact; doi, observed 2026-08-06T20:40:44.111381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 50

Resolution: malformed identifier; no resolver link, observed 2026-08-06T20:40:42.839523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 52

Resolution: verified exact; 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 2026-08-09T06:31:02.800959+00:00.

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

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:43.037002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:40:49.269996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 57

Resolution: verified exact; doi, observed 2026-08-06T20:40:43.465937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:43.336328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T20:40:43.381514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Reference 2009

Resolution: verified exact; doi, observed 2026-08-06T20:40:46.159874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 2017

Resolution: verified exact; doi, observed 2026-08-06T20:40:46.462100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 2022

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

Reference 2023

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

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