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arXiv 0909.2070quant-ph
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偏好测量:量子参数估计中的最优性和稳定性

Preferred Measurements: Optimality and Stability in Quantum Parameter Estimation

Gabriel A. Durkin

摘要:

我们探索精度的测量过程中,通过一个简单的形式主义,将纯探测状态,酉动力学和完整的测量。引入了“信息互补”的概念。它破坏了测量精度,其最小化揭示了系统在最佳点的特性。最精确的测量可以表现出与估计参数的真实值的独立性,但要求这严重限制了可行的探针和动力学的类型,包括在优选测量的基础上哈密顿量是块对角的要求。全局最优点附近的信息补充的曲率提供了测量稳定性的新量化。

英文摘要:

We explore precision in a measurement process incorporating pure probe states, unitary dynamics and complete measurements via a simple formalism. The concept of `information complement' is introduced. It undermines measurement precision and its minimization reveals the system properties at an optimal point. Maximally precise measurements can exhibit independence from the true value of the estimated parameter, but demanding this severely restricts the type of viable probe and dynamics, including the requirement that the Hamiltonian be block-diagonal in a basis of preferred measurements. The curvature of the information complement near a globally optimal point provides a new quantification of measurement stability.

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