Quantum control of tunable-coupling transmons using dynamical invariants of motion

• URL: http://arxiv.org/abs/2205.06555v1
• Date: Fri, 13 May 2022 10:50:16 GMT
• Title: Quantum control of tunable-coupling transmons using dynamical invariants of motion
• Authors: Hilario Espin\'os, Iv\'an Panadero, Juan Jos\'e Garc\'ia-Ripoll, Erik Torrontegui
• Abstract summary: We analyse the implementation of a fast nonadiabatic CZ gate between two transmon qubits with tuneable coupling. The gate is based on a description of the resonance between the $|11rangle$ and $|20rangle$ using an effective Hamiltonian with the 6 lowest energy states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyse the implementation of a fast nonadiabatic CZ gate between two transmon qubits with tuneable coupling. The gate control method is based on a theory of dynamical invariants which leads to reduced leakage and robustness against decoherence. The gate is based on a description of the resonance between the $|11\rangle$ and $|20\rangle$ using an effective Hamiltonian with the 6 lowest energy states. A modification of the invariants method allows us to take into account the higher-order perturbative corrections of this effective model. This enables a gate fidelity several orders of magnitude higher than other quasiadiabatic protocols, with gate times that approach the theoretical limit.

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