PL EN


Preferences help
enabled [disable] Abstract
Number of results
2017 | 132 | 1 | 112-114
Article title

Quantum Filtering Equation for System Driven by Field in a Mixture of Vacuum and Coherent State

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
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.
Publisher

Year
Volume
132
Issue
1
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
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.