论文标题

二元性特征解决方案携带(SIC)统一传播器

The duality-character Solution-Information-Carrying (SIC) unitary propagators

论文作者

Miao, Xijia

论文摘要

HSSS量子搜索过程具有双重字符,它遵守非结构化搜索问题的统一量子动力学和数学对话原理。它与常规的量子搜索算法基本不同。它是通过非结构化搜索问题的双重性甲骨文操作来构建的。它由两个连续的步骤组成:(1)搜索空间动力学还原和(2)动态量子状态差异扩增(quansdam)。 Quansdam过程直接由SIC单一繁殖器构建,而后者则与基本的SIC单一操作员一起制备。在这里,单原子系统的SIC单一繁殖器的准备是通过从基本的SIC单一操作员开始的。量子系统的SIC单一繁殖器可能反映量子系统的量子对称性,而基本的SIC单一操作员可能不会。量子对称性被认为是量子计算速度理论中基本量子计算速度资源。制备的目的最终是利用量子对称性来加快Quansdam过程。准备工作是解决方案信息传输过程。它是统一和确定性的。它遵守信息保护法。在方法论中,它基于能量本质功能扩展和多量器操作员代数空间。此外,一般理论主要基于Feynman路径集成技术,还建立了能量本征性扩展方法,以对理论进行处理并计算坐标表示中任何量子系统的SIC单位传播器,这可以进一步用于构建理论上的指数Quansdam过程。

The HSSS quantum search process owns the dual character that it obeys both the unitary quantum dynamics and the mathematical-logical principle of the unstructured search problem. It is essentially different from a conventional quantum search algorithm. It is constructed with the duality-character oracle operations of unstructured search problem. It consists of the two consecutive steps: (1) the search-space dynamical reduction and (2) the dynamical quantum-state-difference amplification (QUANSDAM). The QUANSDAM process is directly constructed with the SIC unitary propagators, while the latter each are prepared with the basic SIC unitary operators. Here the preparation for the SIC unitary propagators of a single-atom system is concretely carried out by starting from the basic SIC unitary operators. The SIC unitary propagator of a quantum system may reflect the quantum symmetry of the quantum system, while the basic SIC unitary operators may not. The quantum symmetry is considered as the fundamental quantum-computing-speedup resource in the quantum-computing speedup theory. The purpose for the preparation is ultimately to employ the quantum symmetry to speed up the QUANSDAM process. The preparation is a solution-information transfer process. It is unitary and deterministic. It obeys the information conservation law. In methodology it is based on the energy eigenfunction expansion and the multiple-quantum operator algebra space. Furthermore, a general theory mainly based on the Feynman path integration technique and also the energy eigenfunction expansion method is established to treat theoretically and calculate a SIC unitary propagator of any quantum system in the coordinate representation, which may be further used to construct theoretically an exponential QUANSDAM process in future.

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