Efficient numerical simulation of complex Josephson quantum circuits

Abstract

Building on the established methods for superconducting circuit quantization, we present a new theoretical framework for approximate numerical simulation of Josephson quantum circuits. Simulations based on this framework provide access to a degree of complexity and circuit size heretofore inaccessible to quantitative analysis, including fundamentally new kinds of superconducting quantum devices. This capability is made possible by two improvements over previous methods: first, physically-motivated choices for the canonical circuit modes and physical basis states which allow a highly-efficient matrix representation; and second, an iterative method in which subsystems are diagonalized separately and then coupled together, at increasing size scales with each iteration, allowing diagonalization of Hamiltonians in extremely large Hilbert spaces to be approximated using a sequence of diagonalizations in much smaller spaces.

arXiv commentversion 2, 17 pages, 5 figures, fixed small typos, formatting changes, modified spanning tree discussion

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Cited by in corpus (7)

• Calibration of flux crosstalk in large-scale flux-tunable superconducting quantum circuits
• Analysis of arbitrary superconducting quantum circuits accompanied by a Python package: SQcircuit
• Customized quantum annealing schedules
• CircuitQ: An open-source toolbox for superconducting circuits
• Free Mode Removal and Mode Decoupling for Simulating General Superconducting Quantum Circuits
• Numerical simulations of Josephson Traveling Wave Parametric Amplifiers (JTWPAs): comparative study of open-source tools
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain