Scheme to measure the expectation value of a physical quantity in weak coupling regime

In quantum mechanics, the expectation value of an operator can be measured by using the projective measurement, ifthe coupling between the measured system and pointer is strong enough. However in the weak coupling regime, the pointercan not show all the eigenvalue of the physical quantity directly due to the overlapping among the pointer states, whichmakes the measurement of the expectation value difficult. In this paper, we propose an expectation value measurementmethod in the weak coupling regime inspired by the weak measurement scheme. Compared to the projective measurement,our scheme has two obvious advantages. Experimentally we use the internal state and motional state of a single trapped40Ca+ to establish the measurement scheme and realize the proof of principle demonstration of the scheme.     

基于多光束干涉原理的相移算法研究

针对多光束干涉原理的相移算法包括算法误差及步长优化等问题，以菲索干涉仪精密测长为 应用背景进行了研究.利用干涉光学的基本原理导出了在多束光干涉(经光学面多次反射、透 射)的情况下干涉光强随相位分布的精确公式；在此基础上，通过数值分析的方法得出了利 用菲索干涉仪精密测长的相移步长的优化取值范围和干涉光束最佳初相位差的范围；对余弦 依赖算法所引起的光强误差分别就四步法、五步法得出了不同的依赖关系；并对多光束干涉 算法中几种主要的误差来源进行了不确定度评估. 关键词： 相移算法 多光束干涉 精密测长 不确定度     

基于压缩光的量子精密测量

对任何物理量的测量都有一定的噪声, 经典测量所能达到的最小噪声一般称为散粒噪声, 对应着测量的标准量子极限. 利用压缩光可以突破标准量子极限, 从而提高测量精度. 本文介绍了压缩态光场用于突破标准量子极限的基本原理, 以及压缩态光场在相位测量、光学横向小位移及倾斜测量、磁场测量以及时钟同步等精密测量领域的应用和最新进展.     

Measuring the temperature of the spin via weak measurement

In this study, we give a new proposal to measure the temperature of the spin in a sample in a magnetic resonance force microscopy system by using postselected weak measurement, and investigating the Fisher information to estimate the precision of the scheme. We show that in a high temperature regime the temperature of the spin can be measured via a weak measurement technique with proper postselection and our scheme is able to increase the precision of temperature estimation.     

两种多光谱高温计无源温区标定方法抗随机误差能力研究

两种多光谱高温计无源温区标定方法,即依据图形相似性原理的标定方法和依据高温计传递函数的标定方法。为验证两种方法的实用性,通过对黑体辐射出度加入不同大小的随机误差模拟不同测量精度的多光谱高温测量系统,对这两种方法的抗干扰能力进行了研究。实验结果证明,依据图形相似原理的标定方法具有强抗随机误差能力,适用于随机误差较大的测量系统。当随机误差很小时,其精度低于依据传递函数的标定方法,但当随机误差增加到一定范围,其精度远高于后者。基于高温计传递函数的标定方法虽在一定的随机误差范围内具有高的外推标定精度,但抗随机误差能力较弱,适用于随机误差小的测量系统。     

Optical Parametric Amplification of Single Photon: Statistical Properties and Quantum Interference

By using phase space method, we theoretically investigate the quantum statistical properties and quantum interference of optical parametric amplification of single photon. The statistical properties, such as the Wigner function (WF), average photon number, photon number distribution and parity, are derived analytically for the fields of the two output ports. The results indicate that the fields in the output ports are multiphoton states rather than single photon state due to the amplification of the optical parametric amplifiers (OPA). In addition, the phase sensitivity is also examined by using the detection scheme of parity measurement.     

复合样品厚度参数同步辐射测量方法

 薄膜样品在实验研究领域要求样品的厚度测量精度非常高,但由于样品质量小,采用称重的方法,测量精度较差。在北京同步辐射装置的中能（4B7A）和低能（4B7B）束线上（光源能区为0.1～6.0 keV,能量分辨大于1 000）,采用材料对单能光子的透过率来确定样品的质量厚度,通过不同能点的测量值进行不确定度分析,提高测量精度,降低不确定度。利用该方法开展了复合样品厚度的测量方法研究,给出了有CH衬底的薄膜样品的厚度,通过不确定度分析得出,薄膜样品厚度的测量不确定度小于1％。     

基于弱相干光源测量设备无关量子密钥分发系统的误码率分析

测量设备无关量子密钥分发系统可以免疫任何针对探测器边信道的攻击, 并进一步结合诱惑态方法规避了准单光子源引入的实际安全性问题. 目前实验中一般采用弱相干光源, 但是该光源含有一定比例的空脉冲和多光子脉冲. 本文针对弱相干光源的具体特性, 采用量子力学的描述, 将各个器件进行量子化处理, 并同时考虑探测器的具体性能参数的影响, 分别给出了通信双方各自发送的脉冲含有特定光子数时产生的成功贝尔态和错误贝尔态的概率公式, 从理论上对相位编码和偏振编码测量设备无关量子密钥分发系统的误码率进行了定量分析, 分别推导并模拟了通信双方采用的平均光子数对称和不对称时误码率随传输距离的变化情况, 结果表明在偏振编码Z基中, 多光子脉冲不会引起误码; 在偏振编码X基和相位编码中, 受多光子影响, 产生的误码率较大. 对于不同的编码方式, 误码率均随传输距离的增加有不同程度的升高, 长距离传输时, 平均光子数越小, 产生的误码率越大; 在偏振编码X基和相位编码的短距离传输中, 相对于对称, 通信双方采用的平均光子数不对称时产生的误码率较大.     

基于多次平移的平面绝对检测仿真

将待测面形表示为多项式的和,通过分别沿x,y向多次平移待检光学元件得到移动前后待测元件面形差,采用最小二乘法拟合多项式系数,得到待检光学元件的绝对面形。推导了多次平移法的理论公式,并进行了仿真实验,模拟了移动次数、移动间隔和采样点数对测量精度的影响。仿真结果表明:待测平面与初始平面残差图的均方根值为5.118×10~(-13)λ,理论误差达到高精度平面面形检测要求。     

拼接式编码器测角误差分析及试验

根据望远镜测角系统的精度需求,分析了影响拼接式编码器测角精度的误差源,以及多读数头测角消差原理,确定了采用相位相差90°的4读数头的测角方式。在某望远镜方位轴系转台进行了逆时针和顺时针方向的测角试验,通过对测角数据进行谐波分析并补偿后,得到两组实验测角误差RMS分别为0.34"、0.38"。实验表明,相位相差90°的均布4读数头的测角方式消除了由轴系误差、编码器安装位置误差和钢带安装盘部分圆度误差对测角精度的影响,实现了亚角秒级测角的目的。研究结果可用于大口径望远镜设计阶段的误差分析与分配、预估测角精度,为降低设计和加工误差提供参考。     

A scheme for Sagnac-effect quantum enhancement with Fock state light input

Sagnac effect enhancement can improve optical gyro precision. For a certain input intensity, we suggest that the other input port of beam splitter(BS) should be fed with some quantum light to break through shot noise limit(SNL) to improve Sagnac effect without increasing radiation-pressure noise(NRP). We design a Sagnac effect quantum enhancement criterion(SQEC) to judge whether some quantum light can enhance Sagnac effect and present a Sagnac effect enhancement scheme that utilizing Fock state light and parity measurement technique to extract the output phase. The results of the theoretical analysis show that the maximum sensitivity can be reached at θ = 0, and the phase precision can break through SNL and even achieve Heisenberg limit(HL). When the Fock state average photon number n is far less than coherent state, the minimum measurable angular rate is improved with (2n+1)~(1/2) times, which can deduce shot noise and increase NRP little.     

基于速度平滑距离的高精度测量方法研究

随着卫星定位以及测定轨精度的提高，需要研究厘米量级的高精度测距系统。针对现有测控系统测量距离值存在较大随机误差的问题，提出了一种基于速度对距离值进行平滑的方法，以减小测距随机误差。为了保证速度的解算精度，给出了一种基于三阶锁相环路的跟踪接收方案，并对环路跟踪精度、速度平滑时间选择及优化等进行分析和仿真。仿真结果表明，新提出的接收方案和速率平滑距离方法能够实现对不同动态目标信号的有效跟踪，有效降低距离测量的随机误差，可为高精度航天测控系统提供一种解决思路。     

Modular-value-based metrology with spin coherent pointers

We discuss an optimal modular-value-based measurement with a spin coherent pointer: A quantum system is exposed to a field whose strength is to be estimated through its modular value. We evaluate the quantum Fisher information as a figure of merit. We found that the modular-value-based measurement can reach the same ultimate precision limit of the estimation as those of measurements without postselections. The quantum Fisher information can be increased when the dimension of the pointer state increases. We also consider the pointer under a phase-flip error. Our study should motivate researchers to apply the modular-value-based measurements for quantum metrology.     

一种现场大尺寸测量精度的评价方法

针对现场全面评价大尺寸测量仪器精度的特殊性,提出了一种采用多仪器站多控制点的精度评价方法.基于四元数的空问数据配准,将多仪器站的测量数据统一到全局坐标系下,基于控制点坐标不变约束,对测量值进行统计得到测量不确定度,并从中提取仪器内部各传感器单元分量的不确定度.利用多传感器信息融合技术求得最优控制点,减小坐标转换误差对结果的影响.以激光跟踪仪为例进行了仿真和现场实验,结果表明,该方法评价测距和测角小确定度的误差可分别降至1 μm和0.1'以内.     

Entangler and analyzer for multiphoton Greenberger-Horne-Zeilinger states using weak nonlinearities

In the regime of weak nonlinearity we present two general, feasible schemes for manipulating photon states. One is an entangler for generating any one of the n-photon Greenberger-Horne-Zeilinger (GHZ) states. Interactions of the incoming photons with cross-Kerr media followed by a phase shift gate and a measurement on a probe beam plus appropriate local operations using classical feed-forward of the measurement results allow one to obtain the desired states in a nearly deterministic manner. The second scheme discussed is an analyzer for multiphoton maximally entangled states, which is derived from the above entangler. In this scheme, all of the 2 ⁿ n-photon GHZ states can, nearly deterministically, be discriminated.     

基于数值模拟的高准确度五步相移算法研究

传统五步算法具有很好的准确度,但必须满足测量中无法实现的等步长相移条件,这在实际测量中无法使用。为此在双光束干涉原理的基础上,提出了一种改进型的五步算法,实现了在10 nm范围内任意步长的算法高准确度。通过数值模拟,结果表明:对于1 nm的步长测量误差、0.1%的信号测量误差,改进型五步算法的算法准确度优于0.001个相位周期,而且不需要等步长相移控制。改进型五步算法不仅技术上更易于实现,其结果也更加可靠,对于指导精密测长的实验和研究工作具有十分重要的意义。     

外腔镜非线性运动对激光回馈应力测量系统精度的影响及修正

基于激光的回馈效应可实现光学材料应力分布的测量, 而系统外腔镜的非线性运动会引起测量结果的误差, 影响系统的精度. 利用高精度Nd:YAG激光回馈干涉仪对外腔镜的位移随时间的变化进行测量, 采用高次拟合的方式得到位移与时间函数关系, 并利用三镜腔等效模型的调谐曲线方程, 对非线性运动引入的应力测量误差进行计算, 实现对系统精度的修正. 结果表明: 外腔镜运动方向不同, 引起的误差呈现相反的变化趋势; 将不同方向的测量结果进行平均, 可减小系统的测量误差. 分析了外腔镜非线性运动带来的误差对系统测量精度的影响, 提出了测量误差修正方法, 对提高系统的测量精度具有重要意义.     

Accurate measurement of wall skin friction by single-pixel ensemble correlation

The present work deals with accurately estimating wall-skin friction from near-wall mean velocity by means of PIV measurement.The estimation accuracy relies on the spatial resolution and the precision of the resolved velocity profile inside the viscous sublayer,which is a big challenge for conventional window-based correlation method(K?hler C J,et al.Exp Fluids,2012,52:1641–1656).With the help of single-pixel ensemble correlation,the ensemble-averaged velocity vector can be resolved at significant spatial resolution,thus improving the measurement accuracy.To demonstrate the feasibility of this single-pixel ensemble correlation method,we first study the velocity estimation precision in a case of steady near-wall flow.Synthetic particle images are used to investigate the effect of different image parameters.It is found that the velocity RMS-uncertainty level of the single-pixel ensemble correlation method can be equivalent to the conventional window correlation method once the effective particle number used for the ensemble correlation is large enough.Furthermore,a canonical turbulent boundary layer is synthetically simulated based on velocity statistics resolved by previous Direct Numerical Simulation(DNS)work(Schlatter P,et al.J Fluid Mech,2010,659:116–126).The relative error of wall skin friction coefficient is shown to be one-order smaller than that of the window correlation method.And the optimization strategy to further minimize the measurement uncertainty is discussed in the last part.     

Nonperturbative theory of weak pre- and post-selected measurements

This paper starts with a brief review of the topic of strong and weak pre- and post-selected (PPS) quantum measurements, as well as weak values, and afterwards presents original work. In particular, we develop a nonperturbative theory of weak PPS measurements of an arbitrary system with an arbitrary meter, for arbitrary initial states of the system and the meter. New and simple analytical formulas are obtained for the average and the distribution of the meter pointer variable. These formulas hold to all orders in the weak value. In the case of a mixed preselected state, in addition to the standard weak value, an associated weak value is required to describe weak PPS measurements. In the linear regime, the theory provides the generalized Aharonov–Albert–Vaidman formula. Moreover, we reveal two new regimes of weak PPS measurements: the strongly-nonlinear regime and the inverted region (the regime with a very large weak value), where the system-dependent contribution to the pointer deflection decreases with increasing the measurement strength. The optimal conditions for weak PPS measurements are obtained in the strongly-nonlinear regime, where the magnitude of the average pointer deflection is equal or close to the maximum. This maximum is independent of the measurement strength, being typically of the order of the pointer uncertainty. In the optimal regime, the small parameter of the theory is comparable to the overlap of the pre- and post-selected states. We show that the amplification coefficient in the weak PPS measurements is generally a product of two qualitatively different factors. The effects of the free system and meter Hamiltonians are discussed. We also estimate the size of the ensemble required for a measurement and identify optimal and efficient meters for weak measurements. Exact solutions are obtained for a certain class of the measured observables. These solutions are used for numerical calculations, the results of which agree with the theory. Moreover, the theory is extended to allow for a completely general post-selection measurement. We also discuss time-symmetry properties of PPS measurements of any strength and the relation between PPS and standard (not post-selected) measurements.     

高精度数字式相位差测量系统设计

在测量各种双口网络电路的频率特性时,需要对它们的输入与输出信号之间的相位差进行准确测量,针对采用示波器测量相位差误差较大的问题,提出一种能对信号相位差进行高精度测量的设计方案;系统采用过零鉴相和填充计数的测量原理,利用可编程逻辑器件的高速运算能力对高速脉冲计数,由单片机对工作电路进行协调控制和数据处理显示;同时设计高精度相位差可调的直接数字频率合成信号源对系统进行测试,实际测试结果显示,系统对相位差的测量精度高,最小测量精度可达0.1o,并实现宽频率范围的相位差测量。系统在实际应用中测量结果准确、稳定、可靠。