Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point

Gietka, Karol; Ruks, Lewis; Busch, Thomas

doi:10.22331/q-2022-04-27-700

Cited by 20 publications

(3 citation statements)

References 82 publications

(120 reference statements)

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“…One way to achieve enhanced parameter estimation is to use quantum critical systems as probes. Indeed, the emergence of a quantum phase transition can be used to enhance the sensitivity of the quantum measurement by tuning the system close to the critical point [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Typically, critical quantum metrology protocols are based on either an adiabatic evolution along the ground state energy or a quantum quench, and in both approaches the sensitivity is enhanced in the vicinity of the critical point.…”

Section: Introductionmentioning

confidence: 99%

Quantum metrology with critical driven-dissipative collective spin system

2023

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We propose a critical dissipaive quantum metrology schemes for single parameter estimation which are based on a quantum probe consisting of coherently driven ensemble of N spin-1/2 particles under the effect of squeezed, collective spin decay. The collective spin system exhibits a dissipative phase transition between thermal and ferromagnetic phases, which is characterized with nonanalytical behavior of the spin observables. We show that thanks to the dissipative phase transition the sensitivity of the parameter estimation can be significantly enhanced. Furthermore, we show that our steady state is an entangled spin squeezed state which allow to perform parameter estimation with sub shot-noise limited measurement uncertainty.

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Section: Introductionmentioning

confidence: 99%

Quantum metrology with critical driven-dissipative collective spin system

2023

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“…As an indispensable quantity in parameter estimation theory [1][2][3][4][5][6], quantum Fisher information (QFI) has attracted a great deal of attention in quantum metrology [7][8][9][10][11][12][13]. Meanwhile, it has also been widely applied in many aspects of quantum information science, including entanglement detection [14][15][16][17][18][19][20][21][22], quantum phase transition [23][24][25][26][27][28][29], quantum chaos [30][31][32][33][34][35][36][37], quantum computation [38,39], and etc. By virtue of QFI we can quickly and efficiently acquire the related information from the given quantum system and further proceed relevant applications.…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher information of an N-qubit maximal sliced state in decoherence channels and Ising-type interacting model

Ren

2023

Preprint

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Various quantum states have been suggested to realize high-precision measurement and quantum Fisher information (QFI) is one of the most important indicators to evaluate the performance. Here, we systematically investigate the QFI of an N-qubit maximal sliced (MS) state in different environments. In the ideal situation, we present the analytical QFI and it decays from N2 to (N − 1)2 as the parameter α changed from 0 to 1, which denotes the decreased metrological ability. In the amplitude damping channel, the variation trends of QFI with respect to p are similar and it decreases to the number of qubits N at p = 1, meaning the vanished entanglement superiority. However, it is different in the phase damping channel where with the increase of the number of qubits a turning point of QFI equal to N is found at p closing to 0.1. In the Ising-type interacting model, with the increasing interaction strength γ, the QFI with respect to α shows a crossover from decreasing to increasing. Particularly, at the critical point γ = 1, the QFI of an N-qubit MS state is found analytically equal to N2 and regardless of α. This indicates a great potential in achieving the Heisenberg-limited metrology and may shed some new light on quantum information science. PACS: 03.67.-a, 03.65.Ud

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“…量子Fisher信息可以看作是量子态本身特有的一种属性, 依据量子态的几何学观点, 其反映了量子态在外界扰动下统计速度的快慢, 而量子纠缠在局域操作扰动下的反应速度 (或统计速度)要高于分离态, 故可以用来判定量子纠缠 [15] . 近年来, 量子Fisher信息被广泛地应用在量子信息科学的各个方面, 包括量子计量学 [6,16,17] 、量子相变刻画 [18][19][20][21] 、量子纠缠及结构判定 [14,15,[22][23][24][25][26] 、量子混沌 [27][28][29] 以及量子计算 [30,31] 等. 借助量子Fisher 信息, 可以迅速地捕捉或获取量子态的相关信息, 为将来开展相关的技术应用提供理论基础.…”

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Quantum Fisher information of multi-qubit WV entangled state under Lipkin-Meshkov-Glick model

Li,

Ren

2023

Acta Phys. Sin.

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As an important quantity in the field of parameter estimation theory and quantum precision measurement, quantum Fisher information (QFI) can not only be used to set the theoretical limit of measurement precision in quantum system, but also be exploited to witness metrological useful quantum entanglement. Recently, it has also been broadly used in many aspects of quantum information science, including quantum metrology, multipartite entanglement structure detection, quantum phase transition, quantum chaos, quantum computation and etc. In this work, from the perspective of quantum measurement, we study the quantum Fisher information of an $N$-qubit WV state ($\alpha \left\vert W_N \right\rangle +\sqrt{1-\alpha^2}\left\vert 00...0\right\rangle$) under local operation and Lipkin-Meshkov-Glick (LMG) model. Furthermore, with the general Cramer-Rao lower bound (CRLB) we analyze its performance in high-precision phase measurement. The results show that, under the local operation, the QFI of an $N$-qubit WV state becomes larger with the increase of parameter $\alpha$. This not only means the enhanced quantum entanglement, but also implies the powerful ability in high-precision quantum measurement. In the LMG model, as the increase of interactional strength $\gamma$ the QFI of $N=3$ qubits WV state gradually tends to be stable and almost not be affected by parameter $\alpha$, which relaxes the requirement in the preparation of target state and indicates a great potential in achieving the relatively stable measurement precision. When the number of qubits from WV state is larger than $3$, the QFI of WV state increases with the increase of parameter $\alpha$. In the case of fixed parameter $\alpha$, we investigate the QFI of an $N$-qubit WV state with respect to interaction strength $\gamma$. It is found that the QFI of WV state will increase with the increasing interaction strength, which implies that the greater the interaction strength, the stronger the quantum measurement ability of the WV state. Our work will promote the development of high-precision quantum metrology and especially the interaction-enhanced quantum measurement, and further provide new insights in quantum information processing.

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Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point

Cited by 20 publications

References 82 publications

Quantum metrology with critical driven-dissipative collective spin system

Quantum metrology with critical driven-dissipative collective spin system

Quantum Fisher information of an N-qubit maximal sliced state in decoherence channels and Ising-type interacting model

Quantum Fisher information of multi-qubit WV entangled state under Lipkin-Meshkov-Glick model

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