二维离子晶体中用于量子低密度奇偶校验码的频分复用并行门
Frequency-Multiplexed Parallel Gates for Quantum LDPC Codes in a Two-Dimensional Ion Crystal
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中文总结 AI 辅助
针对量子LDPC码症候测量需非局域纠缠门的问题，提出频分复用方案实现二维离子晶体上的并行非局域纠缠门，通过绝热条件优化后可达到10^-12的逻辑错误率。
中文摘要 AI 辅助
量子低密度奇偶校验（qLDPC）码具备高编码率，但症候测量需要非局域纠缠门。相较于随量子比特数增加而变慢的物理移动量子比特的方式，本文提出利用频分复用在二维（2D）离子晶体上实现并行非局域纠缠门。绝热条件可抑制门的不忠实度和串扰误差，且对离子阱中主要误差源——阱频率的慢漂移具有鲁棒性。本文以512个离子组成的二维晶体上的[[248,10,18]]双变量自行车码为例进行数值分析，通过优化量子比特映射和复用的频带分配，表明中等激光功率即可满足并行需求，且在实际噪声参数下可达到10^-12的逻辑错误率。
英文摘要
Quantum low-density parity-check (qLDPC) codes admit high encoding rates but require nonlocal entangling gates for syndrome measurement. Instead of physically moving the qubits which slows down with the increasing qubit number, here we propose to achieve parallel nonlocal entangling gates on a two-dimensional (2D) ion crystal using frequency-multiplexing. Adiabatic conditions ensure the suppression of gate infidelity and crosstalk error, as well as their robustness against slow drift in the trap frequency which is a leading error source in ion trap. We consider a numerical example of a $[[248,10,18]]$ bivariate bicycle code on a 2D crystal of 512 ions. By optimizing the mapping of the qubits and the assignment of the frequency bands for multiplexing, we show that a moderate laser power is sufficient for parallelism, and that a logical error rate of $10^{-12}$ can be achieved under realistic noise parameters.
发表机构
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University（清华大学交叉信息研究院量子信息中心）
- Hefei National Laboratory（合肥国家实验室）
- New Cornerstone Science Laboratory, Institute for Interdisciplinary Information Sciences, Tsinghua University（清华大学交叉信息研究院新基石科学实验室）
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