Noise filtering of composite pulses for singlet-triplet qubits

Abstract

Semiconductor quantum dot spin qubits are promising candidates for quantum computing. In these systems, the dynamically corrected gates offer considerable reduction of gate errors and are therefore of great interest both theoretically and experimentally. They are, however, designed under the static-noise model and may be considered as low-frequency filters. In this work, we perform a comprehensive theoretical study of the response of a type of dynamically corrected gates, namely the {\sc supcode} for singlet-triplet qubits, to realistic $1/f$ noises with frequency spectra $1/{\omega }^{\alpha }$. Through randomized benchmarking, we have found that {\sc supcode} offers improvement of the gate fidelity for $\alpha \gtrsim 1$ and the improvement becomes exponentially more pronounced with the increase of the noise exponent in the range $1\lesssim \alpha \le 3$ studied. On the other hand, for small $\alpha$, {\sc supcode} will not offer any improvement. The $\delta J$-{\sc supcode}, specifically designed for systems where the nuclear noise is absent, is found to offer additional error reduction than the full {\sc supcode} for charge noises. The computed filter transfer functions of the {\sc supcode} gates are also presented.

9 pages, 5 figures

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• Analytic Filter Function Derivatives for Quantum Optimal Control
• Two-qubit CZ gates robust against charge noise in silicon while compensating for crosstalk using neural network
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
• On the robustness of the hybrid qubit computational gates through simulated randomized benchmarking protocols
• Universal singlet-triplet qubits implemented near the transverse sweet spot
• Decoherence in Exchange-Coupled Quantum Spin Qubit Systems: Impact of Multiqubit Interactions and Geometric Connectivity
• Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework