Optimal quantum phase estimation in an atomic gyroscope based on a Bose-Hubbard model

Shao, Lei; Li, Weiyao; Wang, Xiao Guang

doi:10.1364/oe.403156

Cited by 6 publications

(4 citation statements)

References 49 publications

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“…then we can get the expressions of the above squeezed Schrödinger-cat states according to the fitting formulas in Eqs. (38)(39)(40). Specifically, for the SECS, Q ≈ 5.42 + 3.24N ; (43) for the SOCS Q ≈ −4.40N −1 − 3.01N − 1 2 + 1.28 + N ; (44) and for the SYSCS…”

Section: Phase Estimation With Squeezed Schr öDinger-cat Statesmentioning

confidence: 97%

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All-optical generation of deterministic squeezed Schrödinger-cat states

Zhang¹,

Shao²,

Lu³

et al. 2022

Preprint

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Quantum states are important resources and their preparations are essential prerequisites to all quantum technologies. However, they are extremely fragile due to the inevitable dissipations. Here, an all-optical generation of a deterministic squeezed Schrödinger-cat state based on dissipation is proposed. Our system is based on the Fredkin-type interaction between three optical modes, one of which is subject to coherent two-photon driving and the rest are coherent driving. We show that an effective degenerate three-wave mixing process can be engineered in our system, which can cause the simultaneous loss of two photons, resulting in the generation of a deterministic squeezed Schrödinger-cat state. More importantly, by controlling the driving fields in our system, the twophoton loss can be adjustable, which can accelerate the generation of squeezed Schrödinger-cat states. Besides, we exploit the squeezed Schrödinger-cat states to estimate the phase in the optical interferometer, and show that the quantum Fisher information about the phase can reach the Heisenberg limit in the limit of a large photon number. Meanwhile, it can have an order of magnitude factor improvement over the Heisenberg limit in the low-photon-number regime, which is very valuable for fragile systems that cannot withstand large photon fluxes. This work proposes an all-optical scheme to deterministically prepare the squeezed Schrödinger-cat state with high speed and can also be generalized to other physical platforms.

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Section: Phase Estimation With Squeezed Schr öDinger-cat Statesmentioning

confidence: 97%

“…To improve the estimation precision in the low-photonnumber regime, many quantum states (including N00N state [37], squeezed-entangled state [38], entangled even squeezed state [39], etc.) have been considered.…”

Section: Introductionmentioning

confidence: 99%

All-optical generation of deterministic squeezed Schrödinger-cat states

Zhang¹,

Shao²,

Lu³

et al. 2022

Preprint

Self Cite

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show abstract

“…In Fig. 2, we compare the quantum Cramer-Rao bound of the NOON state [29], Entangled coherent state [30], Squeezed entangled state [10,31], QOOQ state [10], and our OI state (|Ψ in OI ) with the total input average photon number. We found that as long as the value of k is large enough, the state with the smallest quantum Cramer-Rao bound under the equal input total photon number is the OI state.…”

Section: A Quantum Parameter Estimation In the Mach-zehnder Interfero...mentioning

confidence: 99%

“…2 and Refs. [10,30,31], and all path-symmetric pure states can achieve their maximal phase sensitivity [32].…”

Section: A Quantum Parameter Estimation In the Mach-zehnder Interfero...mentioning

confidence: 99%

Extreme expected values and their applications in quantum information processing

Lu,

Shao,

Zhang

et al. 2021

Preprint

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Quantum Metrology Assisted by Machine Learning

Huang,

Zhuang,

Zhou

et al. 2024

Adv Quantum Tech

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Quantum metrology aims to measure physical quantities based on fundamental quantum principles, enhancing measurement precision through resources like quantum entanglement and quantum correlations. This field holds promise for advancing quantum‐enhanced sensors, including atomic clocks and magnetometers. However, practical constraints exist in the four fundamental steps of quantum metrology, including initialization, sensing, readout, and estimation. Valuable resources, such as coherence time, impose limitations on the performance of quantum sensors. Machine learning, enabling learning and prediction without explicit knowledge, provides a powerful tool in optimizing quantum metrology with limited resources. This article reviews the fundamental principles, potential applications, and recent advancements in quantum metrology assisted by machine learning.

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Optimal quantum phase estimation in an atomic gyroscope based on a Bose-Hubbard model

Cited by 6 publications

References 49 publications

All-optical generation of deterministic squeezed Schrödinger-cat states

All-optical generation of deterministic squeezed Schrödinger-cat states

Extreme expected values and their applications in quantum information processing

Quantum Metrology Assisted by Machine Learning

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