Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses

Tan, Qing; Huang, Yixiao; Yin, Xiaolei; Kuang, Le Man; Wang, Xiaoguang

doi:10.1103/physreva.87.032102

Cited by 66 publications

(42 citation statements)

References 55 publications

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“…This is similar to what is done in optimal control theory or bangbang control [31,32], with the requirement that the desired evolution H S is not completely eliminated. For the simple case of orthogonal s x y , noise, fast intermediate s z operations suffice (see [28]). The applicability of dynamical decoupling techniques is determined by the timescales of the problem.…”

Section: Decoupling Strategymentioning

confidence: 99%

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Dynamical decoupling leads to improved scaling in noisy quantum metrology

2016

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We consider the usage of dynamical decoupling in quantum metrology, where the joint evolution of system plus environment is described by a Hamiltonian. We show that by ultra-fast unitary control operations acting locally only on system qubits, noise can be eliminated while the desired evolution is only reduced by at most a constant factor, leading to Heisenberg scaling. We identify all kinds of noise where such an approach is applicable. Only noise that is generated by the Hamiltonian to be estimated itself cannot be altered. However, even for such parallel noise, one can achieve an improved scaling as compared to the standard quantum limit for any local noise by means of symmetrization. Our results are also applicable in other schemes based on dynamical decoupling, e.g. the generation of highfidelity entangling gates.

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Section: Decoupling Strategymentioning

confidence: 99%

“…Identifying schemes that realize this advantage in practice are of high theoretical and practical relevance. It was shown that quantum error correction [23][24][25][26], dynamical decoupling [27,28] or limited control over the environment [29,30] allow for an improved scaling for certain, specific noise processes.…”

Section: Introductionmentioning

confidence: 99%

Dynamical decoupling leads to improved scaling in noisy quantum metrology

2016

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“…And the use of entangled states has been proved to * luxiaoming@gmail.com † xgwang1208@zju.edu.cn only give a constant improvement for the ultimate precision, but still follows the SQL [14][15][16]. Several strategies and techniques have been proposed and used to protect the precision of atomic clocks from noises [17][18][19][20][21]. Whereas, the evaluation and optimization of generic multiqubit MWI schemes for quantum sensing under decoherence still remain challenging.…”

Section: Introductionmentioning

confidence: 99%

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

2019

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Most matter-wave interferometry (MWI) schemes for quantum sensing have so far been evaluated in ideal situations without noises. In this work, we provide assessments of generic multiqubit MWI schemes under Markovian dephasing noises. We find that for certain classes of the MWI schemes with scale factors that are nonlinearly dependent on the interrogation time, the optimal precision of maximally entangled probes decreases with increasing the particle number N , for both independent and collective dephasing situations. This result challenges the conventional wisdom found in dephasing Ramsey-type interferometers. We initiate the analyses by investigating the optimal precision of multiqubit Sagnac atom interferometry for rotation sensing. And we show that due to the competition between the unconventional interrogation-time quadratic phase accumulation and the exponential dephasing processes, the Greenberger-Horne-Zeilinger (GHZ) state, which is the optimal input state in noiseless scenarios, leads to vanishing quantum Fisher information in the large-N regime. Then our assessments are further extended to generic MWI schemes for quantum sensing with entangled states and under decoherence. Finally, a quantum error-correction logical GHZ state is tentatively analyzed, which could have the potential to recover the Heisenberg scaling and improve the sensitivity. arXiv:1808.04632v3 [quant-ph]

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“…However, utilizing the quantum character, such as the quantum squeezing [18], quantum entanglement [19], NOON state [20], entangled coherent states [21] and so on, the precision of quantum parameter estimation can be enhanced and surpass the standard quantum limit, even arrive the Heisenberg limit 1/N . Other quantum technology, such as weak measurement [22,23], dynamical decoupling [24], quantum error correction [25], can also be used to enhance the precision of quantum metrology. The multiple quantum parameters estimation have also been reported [26,27].…”

Section: Introductionmentioning

confidence: 99%

Local quantum uncertainty guarantees the measurement precision for two coupled two-level systems in non-Markovian environment

Zhang

2018

Annals of Physics

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Quantum Fisher information (QFI) is an important feature for the precision of quantum parameter estimation based on the quantum Cramér-Rao inequality. When the quantum state satisfies the von Neumann-Landau equation, the local quantum uncertainty (LQU), as a kind of quantum correlation, present in a bipartite mixed state guarantees a lower bound on QFI in the optimal phase estimation protocol [Phys. Rev. Lett. 110 (2013) 240402]. However, in the open quantum systems, there is not an explicit relation between LQU and QFI generally. In this paper, we study the relation between LQU and QFI in open systems which is composed of two interacting two-level systems coupled to independent non-Markovian environments with the entangled initial state embedded by a phase parameter θ. The analytical calculations show that the QFI does't depend on the phase parameter θ, and its decay can be restrained through enhancing the coupling strength or non-Markovianity. Meanwhile, the LQU is related to the phase parameter θ and shows plentiful phenomena. In particular, we find that the LQU can well bound the QFI when the coupling between the two systems is switched off or the initial state is Bell state.

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Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses

Cited by 66 publications

References 55 publications

Dynamical decoupling leads to improved scaling in noisy quantum metrology

Dynamical decoupling leads to improved scaling in noisy quantum metrology

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

Local quantum uncertainty guarantees the measurement precision for two coupled two-level systems in non-Markovian environment

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