  Recently it has been shown that transmon qubit architectures experience a
transition between a many-body localized and a quantum chaotic phase. While it
is crucial for quantum computation that the system remains in the localized
regime, the most common way to achieve this has relied on disorder in Josephson
junction parameters. Here we propose a quasi-periodic patterning of parameters
as a substitute for random disorder. We demonstrate, using the Walsh-Hadamard
diagnostic, that quasiperiodicity is more effective than disorder for achieving
localization. In order to study the localizing properties of our new
Hamiltonian for large, experimentally relevant system sizes, we use two
complementary perturbation-theory schemes, one with respect to the many-body
interactions and one with respect to hopping parameter of the free Hamiltonian.
