Opt Express. 2023 Feb 27;31(5):7535-7544. doi: 10.1364/OE.479420.
A large-scale continuous variable (CV) cluster state is necessary in quantum information processing based on measurement-based quantum computing (MBQC). Specially, generating a large-scale CV cluster state multiplexed in a time domain is easier to implement and has strong scalability in experiment. Here one-dimensional (1D) large-scale dual-rail CV cluster states multiplexed both in time and frequency domains are parallelly generated, which can be further extended to a three-dimensional (3D) CV cluster state by combining two time-delay nondegenerate optical parametric amplification systems with beam-splitters. It is shown that the number of parallel arrays depends on the corresponding frequency comb lines, the partite number of each array can be very large (million), and the scale of the 3D cluster state can be ultra-large. In addition, the concrete quantum computing schemes of applying the generated 1D and 3D cluster states are also demonstrated. Our schemes may pave the way for fault-tolerant and topologically protected MBQC in hybrid domains, by further combining with efficient coding and quantum error correction.
基于基于测量的量子计算 (MBQC) 的量子信息处理需要大规模连续变量 (CV) 集群状态。特别是，在时域中生成大规模 CV 集群状态的复用更容易实现，并且在实验中具有很强的可扩展性。这里，在时域和频域中并行地生成一维 (1D) 大规模双轨 CV 集群状态的复用，通过将两个具有分束器的时滞非简并光参量放大系统相结合，可以进一步扩展到三维 (3D) CV 集群状态。结果表明，并行数组的数量取决于相应的频梳线，每个数组的分数数量可以非常大（百万级），并且 3D 集群状态的规模可以是超大规模的。此外，还演示了生成的 1D 和 3D 集群状态的具体量子计算方案。通过与高效编码和量子纠错进一步结合，我们的方案可能为混合域中容错和拓扑保护的 MBQC 铺平道路。
