activity
20132026
most citedQuantum Fisher information matrix and multiparameter estimation

740 citations · 2k across the 28 of their papers we have counts for

collaborators

28 papers

quant-ph2026

Optimal noisy quantum phase estimation with finite-dimensional states

Jin-Feng Qin, Jing Liu

Phase estimation in quantum interferometry is a major scenario where the quantum advantage is significantly revealed. Recently, the optimal finite-dimensional probe states (OFPSs)…

quant-ph2023★ 2 cited

Lee-Yang zeros and quantum Fisher information matrix in a nonlinear system

Hong Tao, Yuguo Su, Xingyu Zhang +2

The distribution of Lee-Yang zeros not only matters in thermodynamics and quantum mechanics, but also in mathematics. Hereby we propose a nonlinear quantum toy model and discuss th…

quant-ph2023★ 19 cited

Quantum speed limit for complex dynamics

Mao Zhang, Huai-Ming Yu, Jing Liu

Quantum speed limit focuses on the minimum time scale for a fixed mission and hence is important in quantum information where fast dynamics is usually beneficial. Most existing too…

quant-ph2022★ 59 cited

QuanEstimation: An open-source toolkit for quantum parameter estimation

Mao Zhang, Huai-Ming Yu, Haidong Yuan +3

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 conditi…

quant-ph2021★ 82 cited

Optimal Scheme for Quantum Metrology

Jing Liu, Mao Zhang, Hongzhen Chen +2

Quantum metrology can achieve far better precision than classical metrology, and is one of the most important applications of quantum technologies in the real world. To attain the…

quant-ph2021★ 14 cited

Single-photon-triggered spin squeezing with decoherence reduction in optomechanics via phase matching

Zhucheng Zhang, Lei Shao, Wangjun Lu +4

Quantum spin squeezing is an important resource for quantum information processing, but its squeezing degree is not easy to preserve in an open system with decoherence. Here, we pr…

quant-ph2021★ 14 cited

Bhatia-Davis formula in the quantum speed limit

Jing Liu, Zibo Miao, Libin Fu +1

The Bhatia-Davis theorem provides a useful upper bound for the variance in mathematics, and in quantum mechanics, the variance of a Hamiltonian is naturally connected to the quantu…

quant-ph2021★ 9 cited

Quantum metrology with precision reaching beyond- scaling through -probe entanglement generating interactions

Xing Deng, Shou-Long Chen, Mao Zhang +7

Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of $…

quant-ph2020★ 15 cited

Generation and storage of spin squeezing via learning-assisted optimal control

Qing-Shou Tan, Mao Zhang, Yu Chen +2

The generation and storage of spin squeezing is an attracting topic in quantum metrology and the foundations of quantum mechanics. The major models to realize the spin squeezing ar…

quant-ph2020★ 4 cited

Fluctuation-enhanced quantum metrology

Yu Chen, Hongzhen Chen, Jing Liu +2

The main obstacle for practical quantum technology is the noise, which can induce the decoherence and destroy the potential quantum advantages. The fluctuation of a field, which in…

quant-ph2020★ 46 cited

Operational definition of a quantum speed limit

Yanyan Shao, Bo Liu, Mao Zhang +2

The quantum speed limit is a fundamental concept in quantum mechanics, which aims at finding the minimum time scale or the maximum dynamical speed for some fixed targets. In a larg…

quant-ph2019★ 740 cited

Quantum Fisher information matrix and multiparameter estimation

Jing Liu, Haidong Yuan, Xiao-Ming Lu +1

Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum metrology due to the significant importance of quantum Cramér-Rao bound in quantum parameter estim…

quant-ph2018★ 15 cited

Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery

Yanming Che, Jing Liu, Xiao-Ming Lu +1

Most matter-wave interferometry (MWI) schemes for quantum sensing are so far evaluated in ideal situations without noises. In this work, we provide assessments of generic multiqubi…

quant-ph2017★ 106 cited

Control-enhanced multiparameter quantum estimation

Jing Liu, Haidong Yuan

Most studies in multiparameter estimation assume the dynamics is fixed and focus on identifying the optimal probe state and the optimal measurements. In practice, however, controls…

quant-ph2016★ 25 cited

Valid lower bound for all estimators in quantum parameter estimation

Jing Liu, Haidong Yuan

The widely used quantum Cramer-Rao bound (QCRB) sets a lower bound for the mean square error of unbiased estimators in quantum parameter estimation, however, in general QCRB is onl…

quant-ph2016★ 134 cited

Quantum parameter estimation with optimal control

Jing Liu, Haidong Yuan

A pivotal task in quantum metrology, and quantum parameter estimation in general, is to de- sign schemes that achieve the highest precision with given resources. Standard models of…

quant-ph2015★ 37 cited

Maximal quantum Fisher information for general su(2) parametrization processes

Xiao-Xing Jing, Jing Liu, Heng-Na Xiong +1

Quantum Fisher information is a key concept in the field of quantum metrology, which aims to enhance the parameter accuracy by using quantum resources. In this paper, utilizing a r…

quant-ph2015★ 57 cited

Quantum Fisher information and symmetric logarithmic derivative via anti-commutators

Jing Liu, Jie Chen, Xiao-Xing Jing +1

Symmetric logarithmic derivative (SLD) is a key quantity to obtain quantum Fisher information (QFI) and to construct the corresponding optimal measurements. Here we develop a metho…

quant-ph2014★ 33 cited

Maximal quantum Fisher information for phase estimation without initial parity

Xu Yu, Xiang Zhao, Luyi Shen +3

Mach-Zehnder interferometer is a common device in quantum phase estimation and the photon losses in it are an important issue for achieving a high phase accuracy. Here we thoroughl…

cond-mat.stat-mech2014

Quantifying non-Markovianity for a chromophore-qubit pair in a super-Ohmic bath

Jing Liu, Kewei Sun, Xiaoguang Wang +1

An approach based on a non-Markovian time-convolutionless polaron master equation is used to probe the quantum dynamics of a chromophore-qubit in a super-Ohmic bath. Utilizing a me…

quant-ph2014★ 64 cited

Quantum multiparameter metrology with generalized entangled coherent state

Jing Liu, Xiao-Ming Lu, Zhe Sun +1

We propose a generalized form of entangled coherent states (ECS) and apply them in a multi-arm optical interferometer to estimate multiple phase shifts. We obtain the quantum Crame…

quant-ph2014★ 90 cited

Quantum metrology with unitary parametrization processes

Jing Liu, Xiaoxing Jing, Xiaoguang Wang

Quantum Fisher information is a central quantity in quantum metrology. We discuss an alternative representation of quantum Fisher information for unitary parametrization processes.…

quant-ph2014★ 76 cited

Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks

Jing Liu, Heng-Na Xiong, Fei Song +1

Taking into account the density matrices with non-full ranks, we show that the fidelity susceptibility is determined by the support of the density matrix. Combining with the corres…

quant-ph2013★ 125 cited

Quantum Fisher information for density matrices with arbitrary ranks

Jing Liu, Xiao-Xing Jing, Wei Zhong +1

We provide a new expression of the quantum Fisher information(QFI) for a general system. Utilizing this expression, the QFI for a non-full rank density matrix is only determined by…