{ "id": "2103.10344", "version": "v1", "published": "2021-03-18T16:03:37.000Z", "updated": "2021-03-18T16:03:37.000Z", "title": "Circuit quantum electrodynamics (cQED) with modular quasi-lumped models", "authors": [ "Zlatko K. Minev", "Thomas G. McConkey", "Maika Takita", "Antonio D. Corcoles", "Jay M. Gambetta" ], "comment": "For related code, see #QiskitMetal https://qiskit.org/metal | 13 pages, 4 figures, 1 table", "categories": [ "quant-ph", "cond-mat.supr-con" ], "abstract": "Extracting the Hamiltonian of interacting quantum-information processing systems is a keystone problem in the realization of complex phenomena and large-scale quantum computers. The remarkable growth of the field increasingly requires precise, widely-applicable, and modular methods that can model the quantum electrodynamics of the physical circuits, and even of their more-subtle renormalization effects. Here, we present a computationally-efficient method satisfying these criteria. The method partitions a quantum device into compact lumped or quasi-distributed cells. Each is first simulated individually. The composite system is then reduced and mapped to a set of simple subsystem building blocks and their pairwise interactions. The method operates within the quasi-lumped approximation and, with no further approximation, systematically accounts for constraints, couplings, parameter renormalizations, and non-perturbative loading effects. We experimentally validate the method on large-scale, state-of-the-art superconducting quantum processors. We find that the full method improves the experimental agreement by a factor of two over taking standard coupling approximations when tested on the most sensitive and dressed Hamiltonian parameters of the measured devices.", "revisions": [ { "version": "v1", "updated": "2021-03-18T16:03:37.000Z" } ], "analyses": { "keywords": [ "circuit quantum electrodynamics", "modular quasi-lumped models", "more-subtle renormalization effects", "large-scale quantum computers", "simple subsystem building blocks" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }