The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator
Abstract
A new iteration method is presented for achieving quantum optimal control over the expectation value of a positive definite operator. Theoretical analysis shows that this new algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this new algorithm, within a few steps, the optimized objective functional comes close to its converged limit.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications
Peirce, A. P., Dahleh, M. A., & Rabitz, H. (1988) · Physical Review A · doi:10.1103/physreva.37.4950 · Cited by 888
Self-citationRapidly convergent iteration methods for quantum optimal control of population
Zhu, W., Botina, J., & Rabitz, H. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475576 · Cited by 436
Self-citationQuantum mechanical optimal control of physical observables in microsystems
Shi, S., & Rabitz, H. (1990) · The Journal of Chemical Physics · doi:10.1063/1.458438 · Cited by 323
Self-citationTime-Dependent Quantum Molecular Dynamics
(1992) · Nato ASI Series · doi:10.1007/978-1-4899-2326-4 · Cited by 307
Controlled dissociation of I2 via optical transitions between the X and B electronic states
Somlói, J., Kazakov, V. A., & Tannor, D. J. (1993) · Chemical Physics · doi:10.1016/0301-0104(93)80108-l · Cited by 188
Cited by
Quantum control theory and applications: a survey
Dong, D., & Petersen, I. R. (2010) · IET Control Theory & Applications · doi:10.1049/iet-cta.2009.0508 · Cited by 601
Algorithmic Primitives for Quantum-Assisted Quantum Control
Policharla, G.-V., & Vinjanampathy, S. (2020) · arXiv · doi:10.48550/arxiv.2011.13777 · Cited by 6
Metadata
- Authors
- Zhu, W., & Rabitz, H.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1998-07-08
- Volume
- 109
- Issue
- 2
- Pages
- 385-391
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2077168594
- Cited by
- 320
- References
- 5
- FWCI
- 8.75
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator. https://app.cochat.ai/papers/10.1063/1.476575
- The paper
- Zhu, W., & Rabitz, H. (1998). A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator. The Journal of Chemical Physics. https://doi.org/10.1063/1.476575
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
