Engineering, control and longitudinal readout of Floquet qubits

Abstract

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent Floquet states offer a manifold of working points with dynamical protection larger than the few usual static sweet spots. Here, we use the framework of many-mode Floquet theory to describe approaches to robustly control Floquet qubits in the presence of multiple drive tones. Following the same approach, we introduce a longitudinal readout protocol to measure the Floquet qubit without the need of first adiabatically mapping back the Floquet states to the static qubit states, which results in a significant speedup in the measurement time of the Floquet qubit. The analytical approach developed here can be applied to any Hamiltonian involving a small number of distinct drive tones, typically the study of standard parametric gates for qubits outside of the rotating-wave approximation.

arXiv comment10 pages, 6 figures

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• Floquet Analysis of Frequency Collisions
• Dynamical second-order noise sweetspots in resonantly driven spin qubits
• Fast ZZ-Free Entangling Gates for Superconducting Qubits Assisted by a Driven Resonator
• Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Longitudinal coupling between electrically driven spin-qubits and a resonator
• Frozonium: Freezing Anharmonicity in Floquet Superconducting Circuits
• Theory of quasiparticle generation by microwave drives in superconducting qubits
• Optimization of Floquet fluxonium qubits with commensurable two-tone drives
• Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems
• Floquet Engineering Clock Transitions in Magnetic Molecules