The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantum channel identification problem
Abstract
This paper explores an application of quantum entanglement. The problem treated here is the quantum channel identification problem: given a parametric family ${{\ensuremath{\Gamma}}_{\ensuremath{\theta}}{}}_{\ensuremath{\theta}}$ of quantum channels, find the best strategy of estimating the true value of the parameter \ensuremath{\theta}. As a simple example, we study the estimation problem of the isotropic depolarization parameter \ensuremath{\theta} for a two-level quantum system $\mathcal{H}\ensuremath{\simeq}{\mathbf{C}}^{2}.$ In the framework of noncommutative statistics, it is shown that the optimal input state on $\mathcal{H}\ensuremath{\bigotimes}\mathcal{H}$ to the channel exhibits a transitionlike behavior according to the value of the parameter \ensuremath{\theta}.
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Citations
Cites
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
One-to-one parametrization of quantum channels
Fujiwara, A., & Algoet, P. (1999) · Physical Review A · doi:10.1103/physreva.59.3290 · Cited by 156 · cited 1×
“When H is finite dimensional, this is not an essential restriction [2].”
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Cited by
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
The elusive Heisenberg limit in quantum-enhanced metrology
Demkowicz-Dobrzański, R., Kołodyński, J., & Guţă, M. (2012) · Nature Communications · doi:10.1038/ncomms2067 · Cited by 773
Optimal Quantum Phase Estimation
Dorner, U., Demkowicz-Dobrzanski, R., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.040403 · Cited by 494
Quantum-enhanced measurements without entanglement
Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434
Quantum phase estimation with lossy interferometers
Demkowicz-Dobrzanski, R., Dorner, U., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2009) · Physical Review A · doi:10.1103/physreva.80.013825 · Cited by 315
Metadata
- Authors
- Fujiwara, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-03-16
- Volume
- 63
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W3110471435
- Cited by
- 195
- References
- 2
- FWCI
- 3.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fujiwara, A. (2001). Quantum channel identification problem. Physical Review A. https://doi.org/10.1103/physreva.63.042304
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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