Effects of static imperfections for quantum computing

We model the quantum computer hardware as a two-dimensional lattice of qubits with static imperfections, i.e. fluctuations in individual qubit energies and residual short-range inter-qubit couplings. We show that these imperfections can lead to the emergence of quantum chaos and dynamical thermalization also in a quantum computer ideally decoupled from the environment. We discuss their effect on the stability of (i) the quantum computer hardware and (ii) an efficient quantum algorithm simulating a physical model with rich and complex dynamics described by the quantum sawtooth map.