Construction of bilinear control Hamiltonians using the series product and quantum feedback

Abstract

We show that it is possible to construct closed quantum systems governed by a bilinear Hamiltonian depending on an arbitrary input signal. This is achieved by coupling the system to a quantum input field and performing a feedback of the output field back into the system to cancel out the stochastic effects, with the signal being added to the field between these events and later subtracted. Here we assume the zero time delay limit between the various connections and operations.

arXiv comment9 pages, 3 figures

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Cited by in corpus (8)

• Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems
• Enhancement of Field Squeezing Using Coherent Feedback
• Quantum Coherent Nonlinear Feedbacks with Applications to Quantum Optics on Chip
• Transition from weak to strong measurements by nonlinear quantum feedback control
• Feedback-induced nonlinearity and superconducting on-chip quantum optics
• The Series Product and Its Application to Quantum Feedforward and Feedback Networks
• Quantum Feedback Networks and Control: A Brief Survey
• The Global versus Local Hamiltonian Description of Quantum Input-Output Theory