Quantum computation requires high-fidelity single-qubit and two-qubit gates on a scalable platform. Silicon spin qubits are a promising platform toward realization of this goal. In this paper we show how to perform single-qubit and controlled-Z (cz) gates in a linear chain of three spin qubits with always-on exchange coupling, which is relevant for certain dot- and donor-based silicon devices. We also show how to make the cz gate robust against both charge noise and pulse length error using a two-tone pulse shaping method. The robust pulse maintains a fidelity of 99.99% at 3.5% fluctuations in exchange or pulse amplitude, which is an improvement over the uncorrected pulses where this fidelity can only be maintained for fluctuations in exchange up to 2% or up to 0.2% in amplitude.

中文翻译：

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用于三个硅自​​旋量子位的单音脉冲序列和稳健的双音形脉冲，始终进行交换

量子计算需要可扩展平台上的高保真单量子位和双量子位门。硅自旋量子位是实现这一目标的有前途的平台。在本文中，我们展示了如何在具有永远在线交换耦合的三个自旋量子位的线性链中执行单量子位和受控 Z ( cz ) 门，这与某些基于点和供体的硅器件相关。我们还展示了如何使用双音脉冲整形方法使cz门对电荷噪声和脉冲长度误差具有鲁棒性。稳健的脉冲在 3.5% 的交换或脉冲幅度波动下保持 99.99% 的保真度，这是对未校正脉冲的改进，其中该保真度只能在交换波动幅度高达 2% 或高达 0.2% 时保持。