AI 中文总结
研究基于高维模块的量子计算，开发了两个高维广义奇偶模块，提出构建基于高维广义模块的受控非门的过程，该过程具有确定性、预示性等特点，确定了可用于高维量子计算的模块，并提出光学无损实现方案。
AI 中文摘要
奇偶性测量已被探索作为制备和区分纠缠态以及实现量子计算的构建块。我们首先开发了两个替代的高维广义奇偶模块，然后提出了一种构建基于高维广义模块的受控非门的过程。这里介绍的基于模块的量子计算构建是确定性的、预示性的，对计算基的维度不敏感，并且不需要后选择技术。结果表明，在\((d - 1)!\)个广义奇偶模块中，只有模块\(\mathcal{P}=(j\ominus i)\bmod d\)和\(\mathcal{P}=(j \oplus i)\bmod d\)可作为高维量子计算的构建块。此外，我们提出了一种通过量子非破坏测量实现广义奇偶模块的光学无损方案，奇偶模块的成功由光子数分辨探测器和单光子探测器预示。
英文摘要
Parity measurements have been explored as building blocks for preparing and discriminating entangled states, as well as for implementing quantum computation. We first develop two alternative high-dimensional generalized parity modules, and then propose a procedure for constructing high-dimensional generalized module-based controlled-NOT gate. The construction of module-based quantum computing introduced here is deterministic, heralded, insensitive to the dimensionality of the computing basis, and postselection technique is not required. The result shows that out of $(d-1)!$ generalized parity modules, only modules $ \mathcal{P}=(j\ominus i)\bmod d$ and $ \mathcal{P}=(j \oplus i)\bmod d$ can be used as building blocks for high-dimensional quantum computing. Furthermore, we proposed an optical nondestructive scheme for implementing generalized parity module through quantum nondemolition measurements, and the success of the parity module is heralded by photon-number-resolving detectors and single-photon detectors.
Comments14 pages, 4 Figures
Journal refOptics Express 34 (15): 28401-28415 (2026)
