Optimal Scheme for Quantum Metrology

Liu, Jing; Zhang, Mao; Chen, Hongzhen; Wang, Lingna; Yuan, Haidong

doi:10.1002/qute.202100080

Cited by 49 publications

(34 citation statements)

References 197 publications

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“…In the pseudocode given in Ref. [17], the propagators between any two time points have to be saved, which would occupy a large amount of memory during the computation and make it difficult to deal with high-dimensional Hamiltonians or long-time evolutions. To solve this problem, a modified pseudocode is provided as given in Algorithm 1.…”

Section: A Gradient Ascent Pulse Engineeringmentioning

confidence: 99%

“…The pseudocode of DDPG for quantum estimation and the corresponding flow chart can be found in Ref. [17], and the details will not be re- peatedly addressed herein.…”

Section: E Deep Deterministic Policy Gradientsmentioning

confidence: 99%

“…Various methodologies, including direct analytical calculations [84][85][86][87][88][89][90][91][92][93][94], semianalytical [95][96][97][98][99][100] and full numerical approaches [101][102][103][104][105], have been proposed and discussed. More advances of the state optimization in quantum metrology can be found in a recent review [17]. QuanEstimation includes the process of state optimization with various methods, including both gradient-based and gradient-free methods.…”

Section: State Optimizationmentioning

confidence: 99%

“…Meanwhile, its development not only benefits the applied technologies like the magnetometry, thermometry, and gravimetry, but also the studies in fundamental physics such as the detection of gravitational waves [6] and the search of dark matters [7,8]. As the theoretical support of quantum metrology, quantum parameter estimation started from 1960th [9], and has become an indispensable component of quantum metrology nowadays [10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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QuanEstimation: an open-source toolkit for quantum parameter estimation

Zhang¹,

Yu²,

Yuan³

et al. 2022

Preprint

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Quantum parameter estimation promises a high-precision measurement in theory, however, how to design the optimal scheme in a specific scenario, especially under a practical condition, is still a serious problem that needs to be solved case by case due to the existence of multiple mathematical bounds and optimization methods. Depending on the scenario considered, different bounds may be more or less suitable, both in terms of computational complexity and the tightness of the bound itself. At the same time, the metrological schemes provided by different optimization methods need to be tested against realization complexity, robustness, etc. Hence, a comprehensive toolkit containing various bounds and optimization methods is essential for the scheme design in quantum metrology. To fill this vacancy, here we present a Python-Julia-based open-source toolkit for quantum parameter estimation, which includes many well-used mathematical bounds and optimization methods. Utilizing this toolkit, all procedures in the scheme design, such as the optimizations of the probe state, control and measurement, can be readily and efficiently performed.

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Section: A Gradient Ascent Pulse Engineeringmentioning

confidence: 99%

“…The pseudocode of DDPG for quantum estimation and the corresponding flow chart can be found in Ref. [17], and the details will not be re- peatedly addressed herein.…”

Section: E Deep Deterministic Policy Gradientsmentioning

confidence: 99%

Section: State Optimizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

QuanEstimation: an open-source toolkit for quantum parameter estimation

Zhang¹,

Yu²,

Yuan³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, these strategies do not guarantee that the sensor operates with the highest precision attainable. This is only possible if all steps involved in the sensing protocol are optimized [14].…”

mentioning

confidence: 99%

Iterative Adaptive Spectroscopy of Short Signals

Chowdhury¹,

Le²,

Weig³

et al. 2022

Preprint

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We develop an iterative, adaptive frequency sensing protocol based on Ramsey interferometry of a two-level system. Our scheme allows one to estimate unknown frequencies with a high precision from short, finite signals. It avoids several issues related to processing of decaying signals and reduces the experimental overhead related to sampling. High precision is achieved by enhancing the Ramsey sequence to prepare with high fidelity both the sensing and readout state and by using an iterative procedure built to mitigate systematic errors when estimating frequencies from Fourier transforms.

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Quantum Fisher Information and Lee‐Yang Zeros with Quantum Coherence of the Isotropic XY$XY$ Model and the Energy Scale

et al. 2022

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Lee-Yang zeros lie on the complex plane of the control parameters for many-body systems with finite size, such as the transverse magnetic field and the inverse temperature. Here, an anisotropic spin system with nearest-neighbor interactions for finite-size parity space is considered. The Lee-Yang zeros are obtained in anisotropic XY model for the complex plane of the transverse magnetic field and in the isotropic XY model for the complex fugacity plane of the quantum coherence. A characteristic function to represent the probe spin coherence for the isotropic XY model, and study on Lee-Yang zeros, quantum coherence, and quantum Fisher information at the complex fugacity plane is presented. The relationship between quantum Fisher information and quantum coherence in decoherence channels is demonstrated and it is illustrated that information cannot be acquired at high temperatures. Meanwhile, the ground-state energy on the complex plane for the anisotropic XY model is studied and the free energy cumulants with the partition function of the anisotropic XY model for parity space is calculated.

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Optimal Scheme for Quantum Metrology

Cited by 49 publications

References 197 publications

QuanEstimation: an open-source toolkit for quantum parameter estimation

QuanEstimation: an open-source toolkit for quantum parameter estimation

Iterative Adaptive Spectroscopy of Short Signals

Quantum Fisher Information and Lee‐Yang Zeros with Quantum Coherence of the Isotropic XY$XY$ Model and the Energy Scale

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