项目名称: 对量子度量学中若干下限的研究
项目编号: No.11304265
项目类型: 青年科学基金项目
立项/批准年度: 2014
项目学科: 数理科学和化学
项目作者: 高杨
作者单位: 信阳师范学院
项目金额: 25万元
中文摘要: 本项目拟对量子度量学中若干参数估计的下限展开研究,将利用可积的量子简谐振子模型,在非平衡的环境初态条件下,放弃旋转波近似和弱耦合近似,严格讨论对微弱经典力探测灵敏度的下限估计,并考虑采用这些近似对灵敏度下限所带来的影响;在非马科夫环境中研究Mach-Zehnder干涉仪的相位灵敏度、(非)简并参数放大器的放大效率、以及对非马科夫环境参数或与系统耦合参数的估计,并比较它们和在马科夫环境中结果的不同之处;和利用量子Cramer-Rao下限或者Ziv-Zakai下限的矩阵形式来讨论多参数估计的下限,如对压缩算符中复参数的估计,以及在一般情形下,考虑无界的系统哈密顿量、环境导致的退相干效应、以及带有反馈的重复测量对多参数灵敏度所带来的影响等。
中文关键词: 量子度量学;灵敏度;干涉仪;光机械;
英文摘要: This project aims to investigate some lower bounds in quantum metrology. We will study the quantum limit for measurement of a weak classical force coupled to a noisy quantum harmonic oscillator under non-equilibrium environment initial condition without assuming rotaing wave and weak coupling approximations. With the dissipation into a non-Markov environment, we will consider the phase sensitivity in Mach-Zehnder interferometer, the gain effeciency of non-degenerate parametric amplifier, and the estimation of the coupling constant between the system and environment. We will also discuss the multi-parameter estimation with the matrix form of quantum Cramer-Rao or Ziv-Zakai bound, such as the complex squeezing parameter in the squeezing operator, and the generalized limit of multi-parameter sensitivity taking into account the cases of unbound Hamiltonian of system, possible decoherence, and repeated adapative measurements.
英文关键词: quantum metrology;sensitivity;interferometer;opto-mechanical;