Synthesis of parametrically-coupled networks
arXiv:2109.11628 · doi:10.1103/PRXQuantum.3.020201
Abstract
We show that a common language can be used to unify the description of parametrically-coupled circuits--parametric amplifiers, frequency converters, and parametric nonreciprocal devices--with that of band-pass filter and impedance matching networks. This enables one to readily adapt network synthesis methods from microwave engineering in the design of parametrically-coupled devices having prescribed transfer characteristics, e.g. gain, bandwidth, return loss, and isolation. We review basic practical aspects of coupled mode theory and filter synthesis, and then show how to apply both, on an equal footing, to the design of multi-pole, broadband parametric and non-reciprocal networks. We supplement the discussion with a range of examples and reference designs.
36 pages, 26 figures
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- Teleportation and Entanglement Swapping of Continuous Quantum Variables of Microwave Radiation
- Control of multi-modal scattering in a microwave frequency comb
- Fully Directional Quantum-limited Phase-Preserving Amplifier
- Broadband merged-element Josephson parametric amplifier
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- Automated Discovery of Coupled Mode Setups
- Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
- Multimode Purcell Filter for Superconducting-Qubit Reset and Readout with Intrinsic Purcell Protection
- DC-powered broadband quantum-limited microwave amplifier
- Non-reciprocal scattering in a microwave frequency comb
- Solving the inverse parametric problem
- Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits
- A Second-Order Optical Butterworth Fabry-Pérot Filter
- Nondegenerate Josephson Mixers with Enhanced Bandwidth and Saturation Power for Quantum Signal Amplification and Transduction
- Superconducting NbN Resonator Parametric Amplifiers for Millimetre Wavelengths
- Optimizing the pump coupling for a three-wave mixing Josephson parametric amplifier