The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Measurements continuous in time and a posteriori states in quantum mechanics
Open accessAbstract
Measurements continuous in time have been consistently introduced in quantum mechanics and applications worked out, mainly in quantum optics. In this context a quantum filtering theory has been developed giving the reduced state after a measurement when a certain trajectory of the measured observables is registered (the a posteriori states). In this paper a new derivation of filtering equations is presented for the cases of counting processes and of measurement processes of diffusive type. It is also shown that the equation for the a posteriori dynamics in the diffusive case can be obtained, by a suitable limit, from that in the counting case. Moreover, the paper is intended to clarify the meaning of the various concepts involved and to discuss the connections among them. As an illustration of the theory, simple models are worked out.
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
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 2×
“Let L0(t) be a Liouvillian the generator of a completely positive dynamics [ 29 ] on T (H) � and Jj(t), j = 1;:::;d, be completely positive maps on”
BackgroundAn operational approach to quantum probability
Davies, E. B., & Lewis, J. T. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01647093 · Cited by 888
Quantum measuring processes of continuous observables
Ozawa, M. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526000 · Cited by 504
Cited by
The quantum-jump approach to dissipative dynamics in quantum optics
Plenio, M. B., & Knight, P. L. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.101 · Cited by 1,515
Entangling Distant Atoms by Interference of Polarized Photons
Feng, X.-L., Zhang, Z.-M., Li, X.-D., Gong, S.-Q., & Xu, Z.-Z. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.217902 · Cited by 227
Percival, I. C. (1994) · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · doi:10.1098/rspa.1994.0135 · Cited by 115
Stochastic path integrals and open quantum systems
Strunz, W. T. (1996) · Physical Review A · doi:10.1103/physreva.54.2664 · Cited by 87
Metadata
- Authors
- Barchielli, A., & Belavkin, V. P.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1991-04-07
- Volume
- 24
- Issue
- 7
- Pages
- 1495-1514
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2088145502
- Cited by
- 316
- References
- 3
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- green
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: Measurements continuous in time and a posteriori states in quantum mechanics. https://app.cochat.ai/papers/10.1088/0305-4470/24/7/022
- The paper
- Barchielli, A., & Belavkin, V. P. (1991). Measurements continuous in time and a posteriori states in quantum mechanics. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/24/7/022
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.
