Developing SLH Theory for Use with Microwave Circuits

Le résumé fourni par la source

Circuit modeling and simulation techniques are necessary to the development of advanced microwave architectures. In particular, microwave circuits used in the quantum regime can produce a variety of single-photon phenomena related to qubits such as unitary gate operations, quantum illumination, and quantum interferometry. However, classical microwave formalism is incomplete to sufficiently describe these systems at this level. Noisy environments, for instance, destroy internal quantum information at the single-photon level, which makes it difficult to reliably control a quantum state. A theoretical infrastructure to account for this problem has been well-established in quantum optics as quantum input-output network (QION) theory. In this work, we consider an extension to QION theory, called SLH theory, to expand quantum stochastic differential equations to multi-port networks. A mathematical object composed of a network’s scattering parameters (S), coupling vector (L), and internal energy (H), known as an SLH triple, can fully describe its dynamical evolution at the quantum level. We show how microwave components can be converted into an SLH framework that retains the mathematical formalism of classical S-parameter techniques at the quantum limit. This makes SLH theory applicable to many interdisciplinary subfields within physics and engineering. We describe how a dynamical circuit model with universal quantum multi-port networks can be devised within SLH formalism. This can be applied to microwave circuit designs in the quantum limit.

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