Fast and Robust Geometric Two-Qubit Gates for Superconducting Qubits and beyond

Abstract

Quantum protocols based on adiabatic evolution are remarkably robust against imperfections of control pulses and system uncertainties. While adiabatic protocols have been successfully implemented for quantum operations such as quantum state transfer and single-qubit gates, their use for geometric two-qubit gates remains a challenge. In this paper, we propose a general scheme to realize robust geometric two-qubit gates in multi-level qubit systems where the interaction between the qubits is mediated by an auxiliary system (such as a bus or coupler). While our scheme utilizes Stimulated Raman Adiabatic Passage (STIRAP), it is substantially simpler than STIRAP-based gates that have been proposed for atomic platforms, requiring fewer control tones and ancillary states, as well as utilizing only a generic dispersive interaction. We also show how our gate can be accelerated using a shortcuts-to-adiabaticity approach, allowing one to achieve a gate that is both fast and relatively robust. We present a comprehensive theoretical analysis of the performance of our two-qubit gate in a parametrically-modulated superconducting circuits comprising two fluxonium qubits coupled to an auxiliary system.

13 pages + 3 pages of Appendix, 11 figures (Published version)

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• STIRAP-Inspired Robust Gates for a Superconducting Dual-Rail Qubit
• Comparison of Two Optimization Methods for a Rydberg Quantum Gate
• Above 99.9% Fidelity Single-Qubit Gates, Two-Qubit Gates, and Readout in a Single Superconducting Quantum Device
• Fast and robust production of quantum superposition states by the fractional shortcut to adiabaticity
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
• iSWAP-type geometric gates induced by paths on Schmidt sphere
• Dynamically Enhanced Two-Photon Spectroscopy
• Robust implicit quantum control of interacting spin chains
• Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
• Proposal for erasure conversion in integer fluxonium qubits