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A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schr\"odinger Equations with Bounded Coupling Terms

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Thomas Chambrion (IECL, INRIA Nancy - Grand Est / IECN / LMAM)

Optimization and Control · Submitted 1 Mar 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert space.

how it is stated · asserted 1.00 read the record →

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arXiv ID1303.0298 (version 2)
Pith IDXG2Q2VLU, Pith's permanent record of this paper and its review
CitationINRIA Nancy - Grand Est / IECN / LMAM), Thomas Chambrion (IECL. "A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schr\"odinger Equations with Bounded Coupling Terms." arXiv:1303.0298 (2013). https://pith.science/paper/XG2Q2VLU
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,870 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.18 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert space. The proof relies on classical geometric and averaging control techniques applied on finite dimensional approximation of the infinite dimensional system. The results are illustrated with the planar rotation of a linear molecule.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert space. contribution 0.93 0.92 0.88 asserted 1.00
s1 The proof relies on classical geometric and averaging control techniques applied on finite dimensional approximation of the infinite dimensional system. method 1.00 0.86 0.05 asserted 1.00
s2 The results are illustrated with the planar rotation of a linear molecule. contribution 0.43 0.82 0.05 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
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  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert space. The proof relies on classical geometric and averaging control techniques applied on finite dimensional approximation of the infinite dimensional system. The results are illustrated with the planar rotation of a linear molecule.

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