基于Frenkel激子捕获机制的Grover类搜索
Grover-like search via Frenkel exciton trapping mechanism
摘要：
我们提出了一个物理实现的Grover搜索问题，通过Frenkel激子捕获在一个浅的同位素杂质竞争机制的背景下。在杂质分子，指定的“赢家”网站，搜索达到高潮，其特点是在低温下增强与声学声子的相互作用。量子搜索的进展与甲骨文的激子-声子相互作用的协助下，地址只有杂质网站，通过戴森传播内的格林函数形式主义。确定了在最快的时间内捕获激子所需的长程位间相互作用的图形晶格的最佳参数，并估计了萘掺杂的有机系统的错误率。我们扩展分析的量子搜索波动长程相互作用周期（LRIC）图晶格系统。
英文摘要：
We propose the physical implementation of a Grover-like search problem by means of Frenkel exciton trapping at a shallow isotopic impurity against a background of competing mechanisms. The search culminating at the impurity molecule, designated the "winner" site, is marked by its enhanced interaction with acoustic phonons at low temperatures. The quantum search proceeds with the assistance of an Oracle-like exciton-phonon interaction which addresses only the impurity site, via the Dyson propagator within the Green's function formalism. The optimum parameters of a graph lattice with long-range intersite interactions required to trap the exciton in the fastest time are determined, and estimates of error rates for the naphthalene doped organic system are evaluated. We extend analysis of quantum search to a fluctuating long-range interacting cycle (LRIC) graph lattice system.
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