Quantum Trajectories for Squeezed Input Processes: Explicit Solutions

DOI10.1142/S1230161216500049zbMath1338.81259arXiv1509.06187OpenAlexW3098032095WikidataQ61948638 ScholiaQ61948638MaRDI QIDQ2802237

Anita Dąbrowska, John E. Gough

Publication date: 25 April 2016

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06187

zbMATH Keywords

quantum stochastic calculussqueezed statehomodyne measurmentquantum filter equation

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Coherent states (81R30)

Related Items (1)

Stochastic approach to evolution of a quantum system interacting with environment in squeezed number state

Cites Work

• Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings
• Quantum Ito's formula and stochastic evolutions
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum stochastic calculus and quantum nonlinear filtering
• Quantum filtering for multiple input multiple output systems driven by arbitrary zero-mean jointly Gaussian input fields
• An Introduction to Quantum Filtering
• Jump-Diffusion Approximations for Ordinary Differential Equations with Wide-Band Random Right Hand Sides
• Diffusion approximations to output processes of nonlinear systems with wide-band inputs and applications
• Stochastic Schrödinger equations
• Feedback control of quantum state reduction
• On the optimal filtering of diffusion processes

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