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Abstracts
We consider the problem of optimal estimation of a state of a quantum system interacting with the Bose field being in a mixture of the vacuum and coherent state. The system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We derive stochastic master equation using Gardiner and Collet's input-output theory and the concept of cascade systems. To find the stochastic evolution of the system conditioned on the result of the quadrature measurement of the output field, we extend the compound system by an ancilla driven by the vacuum and generating the desired non-classical state of light.
Journal
Year
Volume
Issue
Pages
112-114
Physical description
Dates
published
2017-07
Contributors
author
- Nicolaus Copernicus University in Toruń, Collegium Medicum Bydgoszcz, Jagiellońska 15, 85-067 Bydgoszcz, Poland
References
- [1] A. Barchielli, V.P. Belavkin, J. Phys. A Math. Gen. 24, 1495 (1991), doi: 10.1088/0305-4470/24/7/022
- [2] A. Barchielli, in: Lecture Notes Math. 1882, Eds. S. Attal, A. Joye, C.-A. Pillet, Springer, Berlin 2006, p. 207, doi: 10.1007/3-540-33967-1_5
- [3] A. Dąbrowska, J.E. Gough, Russ. J. Math. Phys. 23, 172 (2016), doi: 10.1134/S1061920816020035
- [4] J.E. Gough, M.R. James, H.I. Nurdin, J. Combes, Phys. Rev. A 86, 043819 (2012), doi: 10.1103/PhysRevA.86.043819
- [5] C.W. Gardiner, P. Zoller, Quantum Noise, Springer-Verlag, Berlin 2010
- [6] R.L. Hudson, K.R. Parthasarathy, Commun. Math. Phys. 93, 301 (1984), doi: 10.1007/BF01258530
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv132n1p28kz