Quantum annealing (QA) is proposed for vector perturbation precoding (VPP) in multiple input multiple output (MIMO) communications systems. The mathematical framework of VPP is presented, outlining the problem formulation and the benefits of lattice reduction algorithms. Lattice reduction aided quantum vector perturbation (LRAQVP) is designed by harnessing physical quantum hardware, and the optimization of hardware parameters is discussed. We observe a 5dB gain over lattice reduction zero forcing precoding (LRZFP), which behaves similarly to a quantum annealing algorithm operating without a lattice reduction stage. The proposed algorithm is also shown to approach the performance of a sphere encoder, which exhibits an exponentially escalating complexity.
翻译:量子退火(QA)被提出用于多输入多输出(MIMO)通信系统中的向量扰动预编码(VPP)。本文阐述了VPP的数学框架,概述了问题表述与格基约简算法的优势。通过利用物理量子硬件设计了格基约简辅助量子向量扰动(LRAQVP)方法,并讨论了硬件参数的优化。实验显示,该方法相较于无格基约简阶段的量子退火算法——即格基约简迫零预编码(LRZFP),可获得5dB的性能增益。所提算法性能还接近球形编码器(其复杂度呈指数级增长)的水平。