States for phase estimation in quantum interferometry

States for phase estimation in quantum interferometry
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量子干涉测量中的相位估计状态

DOI:
10.1088/1464-4266/7/1/004
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发表时间:
2004
期刊:
Journal of Optics B-quantum and Semiclassical Optics
影响因子:
--
通讯作者:
H. Wiseman
H. Wiseman
中科院分区:
--
文献类型:
--
作者:
J. Combes;H. Wiseman

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Ramsey干涉测量允许估计两态量子系统系综的赝自旋矢量的旋转相位。对于small,噪声与信号的比率与自旋压缩参数ε成比例,其中ε <1可能是纠缠系综。然而,具有最小相位差的状态对于任意相位的单次测量不是最佳的。我们定义了一个相位压缩参数,这是一个适当的品质因数这种情况下,。我们表明,(不同于最小化的状态),最小化的状态,可以通过由著名的双轴反扭哈密顿演化一个非纠缠态(相干自旋态)创建。我们分析这些和其他状态(例如最大纠缠态,类似于光学“NOON”状态),使用几个不同的属性,包括λ,λ,赝角动量基(在三个主要方向上)的系数和角维格纳函数W(θ,)。最后,我们讨论了创建相位压缩态和进行单次相位估计的实验选择。
Ramsey interferometry allows the estimation of the phase of rotation of the pseudospin vector of an ensemble of two-state quantum systems. For small, the noise-to-signal ratio scales as the spin-squeezing parameter ξ, with ξ<1 possible for an entangled ensemble. However states with minimum ξ are not optimal for single-shot measurements of an arbitrary phase. We define a phase-squeezing parameter, ζ, which is an appropriate figure of merit for this case. We show that (unlike the states that minimize ξ) the states that minimize ζ can be created by evolving an unentangled state (coherent spin state) by the well known two-axis counter-twisting Hamiltonian. We analyse these and other states (for example the maximally entangled state, analogous to the optical 'NOON' state ) using several different properties, including ξ, ζ, the coefficients in the pseudo-angular momentum basis (in the three primary directions) and the angular Wigner function W(θ,). Finally, we discuss the experimental options for creating phase-squeezed states and doing single-shot phase estimation.
DOI: 10.1038/35051038
发表时间: 2001-01-04
期刊: NATURE
影响因子: 64.8
作者:
Sorensen, A;Duan, LM;Zoller, P
通讯作者: Zoller, P