Quantum control of frequency tunable transmon superconducting qubits

• URL: http://arxiv.org/abs/2002.10320v3
• Date: Mon, 20 Jul 2020 12:26:11 GMT
• Title: Quantum control of frequency tunable transmon superconducting qubits
• Authors: J. J. Garc\'ia-Ripoll, A. Ruiz-Chamorro, and E. Torrontegui
• Abstract summary: We find that there are many different controls for the transmon frequency that implement the same gate with fidelities around $99.8%$. Some controls, such as those based on the theory of dynamical in robustnesss, are particularly attractive due to reduced leakage, against decoherence, and their limited bandwidth.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we analyze the implementation of a control-phase gate through the resonance between the $|11\rangle$ and $|20\rangle$ 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 $99.8\%$ ($T_1=T_2^{*}=17$ $\mu$s) and $99.99\%$ ($T_1=T_2^{*}=300$ $\mu$s) 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 $|11\rangle-|20\rangle$ 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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