1,232 research outputs found
A Systems Theory Approach to the Synthesis of Minimum Noise Phase-Insensitive Quantum Amplifiers
We present a systems theory approach to the proof of a result bounding the
required level of added quantum noise in a phase-insensitive quantum amplifier.
We also present a synthesis procedure for constructing a quantum optical
phase-insensitive quantum amplifier which adds the minimum level of quantum
noise and achieves a required gain and bandwidth. This synthesis procedure is
based on a singularly perturbed quantum system and leads to an amplifier
involving two squeezers and two beamsplitters.Comment: To appear in the Proceedings of the 2018 European Control Conferenc
Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties
This paper presents a robust performance analysis result for a class of
uncertain quantum systems containing sector bounded nonlinearities arising from
perturbations to the system Hamiltonian. An LMI condition is given for
calculating a guaranteed upper bound on a non-quadratic cost function. This
result is illustrated with an example involving a Josephson junction in an
electromagnetic cavity.Comment: A version of this paper is to appear in the Proceedings of the 2014
American Control Conferenc
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