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Quantum Control of Frequency-Tunable Transmon Superconducting Qubits

J.J. García-Ripoll, A. Ruiz-Chamorro, E. Torrontegui

DOI 10.1103/PhysRevApplied.14.044035 · Physical Review Applied

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Abstract

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=17μs) and 99.99% (T1=T2=300μs) 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.

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