In this paper, we propose an improved quantum algorithm for the minimum mean square error-based massive multiple-input multiple-output (MIMO) uplink. The new algorithm can reduce the dependency on the assumptions on the input vector, the channel matrix entries and the low rank of the channel matrix, which are indispensable in our previous results. Our improved quantum algorithm applies the quantum block-encoding technology, which depends on the quantum-accessible data structure. Moreover, we design an efficient algorithm for outputting classical data, which makes sure that output data can be utilized in classical devices. Both theoretically mathematical analyses and simulation realizations in massive MIMO systems confirm the applicability of the improved quantum algorithm. With desired precision, and theoretical and numerical analysis, our improved quantum algorithm can achieve a quadratic or even an exponential speedup over classical counterparts.

中文翻译：

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基于MMSE的大规模MIMO上行链路检测的改进量子算法

在本文中，我们针对基于最小均方误差的大规模多输入多输出（MIMO）上行链路提出了一种改进的量子算法。新算法可以减少对输入矢量，信道矩阵条目和信道矩阵的低秩的假设的依赖，这在我们先前的结果中是必不可少的。我们改进的量子算法应用了量子块编码技术，该技术取决于量子可访问的数据结构。此外，我们设计了一种用于输出经典数据的有效算法，以确保输出数据可以在经典设备中使用。大规模MIMO系统中的理论数学分析和仿真实现都证实了改进的量子算法的适用性。通过所需的精度以及理论和数值分析，