GPU-Accelerated Simulations of Charge Qubits in Semiconductor Devices.

Theoretical modelling of the evolution of wave functions within quantum computing devices can both help design new circuits as well as understand the behaviour of current devices. This is particularly useful when investigating possible sources of error and optimizing the fidelity of quantum operations. In our recent works, we present accurate simulations of the evolution of electron-charge wave functions in semiconductor devices. We present optimal qubit basis definitions that maximize the fidelity of logic operations and put forward pulse sequences that achieve a universal set of operations. We consider experimentally realistic semiconductor qubits with finite pulse rise and fall times and determine the fastest pulse sequence yielding the highest fidelity and show that our protocol leads to improved control of a qubit. Furthermore, we present simulation results for two-qubit interactions in entangling operations, once more optimizing the dynamic confining potential in order to obtain high-fidelity operations.