In this work we analyze the implementation of a control-phase gate through the resonance between the |11〉 and |20〉 states of two statically coupled transmons. We find that there are many different controls for the transmon frequency that implement the same gate with fidelities around 99.8% (T1 = T2 = 17 mus) and 99.99% (T1 = T2 = 300 mus) within a time that approaches the theoretical limit. All controls can be brought to this accuracy by calibrating the waiting time and the destination frequency near the |11〉−|20〉 resonance. However, some controls, such as those based on the theory of dynamical invariants, are particularly attractive due to reduced leakage, robustness against decoherence, and their limited bandwidth.
Classification
subjects
Physics
keywords
quantum control; quantum gates; quantum information with solid state qubits; superconducting qubits