Energy-participation quantization of Josephson circuits: Draft
Brief introduction to problem:
Quantum information processing (QIP) based on superconducting systems hinges on the ability to successfully design circuits with the desired Hamiltonians and environmental couplings. The necessary non-linearity can be provided by nearly lossless, inductive elements, which in practice are Josephson tunnel junctions. As the starting point for most QIP circuit-based experiments, the question of what physical circuit realizes a desired Hamiltonian and couplings to input-output ports has attracted a lot of interest, but the general solution to this inverse problem appears to be out of reach.
Promising applications of superconducting circuits require designing circuits with an ever-increasing complexity. Therefore, there is a growing need for fast and accurate design, analytic, and optimization techniques.
In this work, we introduce an approach to address this problem in a systematic, practical, and scalable approach. The method applies directly to distributed (3D) and planar (2D) circuits involving arbitrary non-linear inductive elements, such as kinetic-inductance transmission lines, nanowires, weak links, etc.
In prep.
Related work:
Black-box superconducting circuit quantizationSimon E. Nigg, Hanhee Paik, Brian Vlastakis, Gerhard Kirchmair, Shyam Shankar, Luigi Frunzio, Michel Devoret, Robert Schoelkopf
Phys. Rev. Lett. 108, 240502 (2012)