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Belavkin filter for mixture of quadrature and photon counting process with some control techniques

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Abstract

The Belavkin filter for the H-P Schrödinger equation is derived when the measurement process consists of a mixture of quantum Brownian motions and conservation/Poisson process. Higher-order powers of the measurement noise differentials appear in the Belavkin dynamics. For simulation, we use a second-order truncation. Control of the Belavkin filtered state by infinitesimal unitary operators is achieved in order to reduce the noise effects in the Belavkin filter equation. This is carried out along the lines of Luc Bouten. Various optimization criteria for control are described like state tracking and Lindblad noise removal.

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Authors and Affiliations

  1. Statistical Signal Processing Lab, Room No. 127, ECE Division, Netaji Subhas Institute of Technology, University of Delhi, Dwarka Sec-3, New Delhi, 110078, India

    Naman Garg, Harish Parthasarathy & D. K. Upadhyay

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  1. Naman Garg
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  2. Harish Parthasarathy
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  3. D. K. Upadhyay
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Correspondence to Naman Garg.

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Garg, N., Parthasarathy, H. & Upadhyay, D.K. Belavkin filter for mixture of quadrature and photon counting process with some control techniques. Quantum Inf Process 17, 59 (2018). https://doi.org/10.1007/s11128-018-1831-z

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  • DOI: https://doi.org/10.1007/s11128-018-1831-z

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