The DOI matches its Crossref record; 80 of the 80 references it cites were found in a registry or an index.
Fisher information under decoherence in Bloch representation
Open accessAbstract
The dynamics of two variants of quantum Fisher information under decoherence is investigated from a geometrical point of view. We first derive the explicit formulas of these two quantities for a single qubit in terms of the Bloch vector. Moreover, we obtain analytical results for them under three different decoherence channels, which are expressed as affine transformation matrices. Using the hierarchy equation method, we numerically study the dynamics of both sets of information in a dissipative model and compare the numerical results with the analytical ones obtained by applying the rotating-wave approximation. We further express the two information quantities in terms of the Bloch vector for a qudit by expanding the density matrix and Hermitian operators in a common set of generators of the Lie algebra $\text{su}(d)$. By calculating the dynamical quantum Fisher information, we find that the collisional dephasing significantly diminishes the precision of the phase parameter with the Ramsey interferometry.
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
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
Theory of Statistical Estimation
Fisher, R. A. (1925) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100009580 · Cited by 2,869
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
Quantum Detection and Estimation Theory
(1976) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(08)x6017-5 · Cited by 2,426
Cited by
Dynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,234
Quantum Fisher information matrix and multiparameter estimation
Liu, J., Yuan, H., Lu, X.-M., & Wang, X. (2020) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ab5d4d · Cited by 802
Self-citationQuantum parameter estimation with optimal control
Liu, J., & Yuan, H. (2017) · Physical Review A · doi:10.1103/physreva.96.012117 · Cited by 133
Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
Liu, J., Xiong, H.-N., Song, F., & Wang, X. (2014) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2014.05.028 · Cited by 76
Self-citationQuantum Fisher information and symmetric logarithmic derivative via anti-commutators
Liu, J., Chen, J., Jing, X.-X., & Wang, X. (2016) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/49/27/275302 · Cited by 65
Self-citation
Metadata
- Authors
- Zhong, W., Sun, Z., Ma, J., Wang, X., & Nori, F.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-02-25
- Volume
- 87
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1992468296
- Cited by
- 321
- References
- 80
- FWCI
- 18.04
- 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: Fisher information under decoherence in Bloch representation. https://app.cochat.ai/papers/10.1103/physreva.87.022337
- The paper
- Zhong, W., Sun, Z., Ma, J., Wang, X., & Nori, F. (2013). Fisher information under decoherence in Bloch representation. Physical Review A. https://doi.org/10.1103/physreva.87.022337
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.
