Real-time simulation of H-P noisy Schrödinger equation and Belavkin filter

DOI10.1007/s11128-017-1572-4zbMath1373.81257OpenAlexW2602991318MaRDI QIDQ1679264

Naman Garg, Harish Parthasarathy, Dharmendra Kumar Upadhyay

Publication date: 9 November 2017

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-017-1572-4

zbMATH Keywords

von Neumann entropyGram-Schmidt orthonormalizationnoisy Schrödinger equationGKSL equationH-P quantum Itô formulaKushner-Belavkin quantum filternon-demolition measurements

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Optimum quantum receiver for detecting weak signals in PAM communication systems ⋮ Belavkin filter for mixture of quadrature and photon counting process with some control techniques

Cites Work

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• Jump-Diffusion Approximations for Ordinary Differential Equations with Wide-Band Random Right Hand Sides
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• On the optimal filtering of diffusion processes

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