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Main Authors: Yuan, Ji-Bing, Liu, Hai-Fei, Song, Ya-Ju, Tang, Shi-Qing, Wang, Xin-Wen, Kuang, Le-Man
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.19438
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author Yuan, Ji-Bing
Liu, Hai-Fei
Song, Ya-Ju
Tang, Shi-Qing
Wang, Xin-Wen
Kuang, Le-Man
author_facet Yuan, Ji-Bing
Liu, Hai-Fei
Song, Ya-Ju
Tang, Shi-Qing
Wang, Xin-Wen
Kuang, Le-Man
contents We examine a system in which an impurity qubit is immersed in a quasi-two-dimensional dipolar Bose-Einstein condensate whose collective excitations act as a depasing reservoir for the qubit. The relative dipole-dipole interaction strength is estimated by the probe qubit dephasing. The ultimate precision of this estimation is quantified by the quantum Fisher information, which can be obtained by means of measuring quantum coherence of the probe qubit. Our findings indicate that, in the interval where roton excitations appear, the quantum Fisher information oscillates periodically with the encoding time $t$, and the amplitude of these oscillations increases alongside the extension of $t$. Moreover, we analytically determine that the envelope curve formed by the local maximum points satisfies the functional relationship $At+Bt^{1/2}+C$ during long-term encoding scenarios, where $A$, $B$, $C$ are positive numbers. It is also revealed that the highly non-Markovian effects caused by the roton softening of the excitation spectrum allow long encoding time to serve as a resource for enhancing sensing precision. Our work provides a new pathway for enhancing the sensing precision of dephasing qubits.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19438
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Utilizing encoding time as a resource to enhance quantum sensing by probe qubit dephasing
Yuan, Ji-Bing
Liu, Hai-Fei
Song, Ya-Ju
Tang, Shi-Qing
Wang, Xin-Wen
Kuang, Le-Man
Quantum Physics
We examine a system in which an impurity qubit is immersed in a quasi-two-dimensional dipolar Bose-Einstein condensate whose collective excitations act as a depasing reservoir for the qubit. The relative dipole-dipole interaction strength is estimated by the probe qubit dephasing. The ultimate precision of this estimation is quantified by the quantum Fisher information, which can be obtained by means of measuring quantum coherence of the probe qubit. Our findings indicate that, in the interval where roton excitations appear, the quantum Fisher information oscillates periodically with the encoding time $t$, and the amplitude of these oscillations increases alongside the extension of $t$. Moreover, we analytically determine that the envelope curve formed by the local maximum points satisfies the functional relationship $At+Bt^{1/2}+C$ during long-term encoding scenarios, where $A$, $B$, $C$ are positive numbers. It is also revealed that the highly non-Markovian effects caused by the roton softening of the excitation spectrum allow long encoding time to serve as a resource for enhancing sensing precision. Our work provides a new pathway for enhancing the sensing precision of dephasing qubits.
title Utilizing encoding time as a resource to enhance quantum sensing by probe qubit dephasing
topic Quantum Physics
url https://arxiv.org/abs/2411.19438