Numerical Methods for Current Mirror Qubit Simulations

Current Mirror Qubits¹ (CMQs) are an example of “noise insensitive” superconducting qubits predicted to exhibit longer coherence times than conventional superconducting qubits even when exposed to the same noise environment. CMQs also have the advantage of not requiring detailed tune-up or fabrication precision² to achieve noise insensitivity. However, given the large number of circuit components that comprise such qubits, direct numerical diagonalization of the qubit’s Hamiltonian using a product basis is numerically intractable. This presents a challenge for verifying projected noise immunity for realistic circuits that include fabrication imperfections or control offsets. This talk discusses various numerical models for CMQs that address this challenge, and presents initial comparisons between these models and experimental realizations of these qubits.
[1] Alexei Kitaev, arXiv:cond-mat/0609441 (2006)
[2] Dempster et al., PRB 90, 094518 (2014)