Quantum spin squeezing

Ma, Jun; Wang, Xiaoguang; Sun, C. P.; Nori, Franco

doi:10.1016/j.physrep.2011.08.003

Cited by 717 publications

(798 citation statements)

References 308 publications

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“…Such unitary process of equation (5) may be used to model the two-mode optical interferometry and the general Ramsey interferometry [8,36]. With equation (5), the QFI with respect of ϕ can be expressed in the following form [19,37,38,39,40]…”

Section: Quantum Fisher Informationmentioning

confidence: 99%

“…Besides, there are various definitions of spin squeezing which were introduced for certain considerations, and one can refer to reference [19] for detailed discussion.…”

Section: Spin Squeezingmentioning

confidence: 99%

“…Equation (1) shows that a quantum state with the APEP-enhancing must be entangled. Besides entangled states, it has been theoretically and experimentally demonstrated that spin squeezed states (SSSs) can also be used to improve the accuracy of estimation [8,9,10,11,12,13,14,15,16,17,18,19]. The concept of SSSs was first established by Kitagawa and Ueda [9].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Fisher information and spin squeezing in one-axis twisting model

Zhong¹,

Liu²,

Ma³

et al. 2014

Chinese Phys. B

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Abstract. We consider the quantum Fisher information and spin squeezing in oneaxis twisting model with a coherent spin state |θ 0 , φ 0 . We analytically discuss the dependence of the two parameters: spin squeezing parameter ξ 2 K and the average parameter estimation precision χ 2 on the polar angle θ 0 and the azimuth angle φ 0 . Moreover, we discuss the effects of the collisional dephasing on the dynamics of the two parameters. In this case, the analytical solution of ξ 2 K is also obtained.

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Section: Quantum Fisher Informationmentioning

confidence: 99%

“…Besides, there are various definitions of spin squeezing which were introduced for certain considerations, and one can refer to reference [19] for detailed discussion.…”

Section: Spin Squeezingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum Fisher information and spin squeezing in one-axis twisting model

Zhong¹,

Liu²,

Ma³

et al. 2014

Chinese Phys. B

Self Cite

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“…Generally, it is well-known that the squeezed state [70], as an essential resource for quantum metrology [71,72], can enhance the precision of parameter estimation. Motivated by this fact, we study the relationship between the QFI F and the mechanical squeezing in this section.…”

Section: Mechanical Squeezing As a Quantum Resourcementioning

confidence: 99%

Optimal quantum parameter estimation in a pulsed quantum optomechanical system

Zheng

Yao

2016

Phys. Rev. A

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We propose that a pulsed quantum optomechanical system can be applied for the problem of quantum parameter estimation, which targets to yield higher precision of parameter estimation utilizing quantum resource than that using classical methods. Mainly concentrating on the quantum Fisher information with respect to the mechanical frequency, we find that the corresponding precision of parameter estimation on the mechanical frequency can be enhanced by applying applicable optical resonant pulsed driving on the cavity of the optomechanical system. Further investigation shows that the mechanical squeezing resulting from the optical pulsed driving is the quantum resource used in optimal quantum estimation on the frequency.

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“…The main advantage of spin squeezing as a measure of multipartite correlations is that it is relatively easy to generate and measure spin squeezing experimentally due to the fact that spin-squeezing parameters only involve the rst and second moments of the collective angular momentum operators. The spin squeezing is de ned by [41,42]:…”

Section: Measure Of Multipartite Correlations: Spin-squeezingmentioning

confidence: 99%

Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

Chen

Zhang

2015

Open Physics

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Abstract:We investigate the e ects of phase shift on entanglement, quantum discord, geometric discord, and spinsqueezing of a Heisenberg chain under dephasing. An analytical solution of the present model is obtained. Our results show that the initial correlations of the spin chain could be partially stored for a long time in the presence of dephasing and the amount of steady state correlations can be adjusted via phase shift. Particularly, we nd the e ects of phase shift on quantum discord and geometric discord are not always the same, i.e., the increase of geometric discord does not always imply the increase of quantum discord. Then, we calculate the spin-squeezing of the spin chain and nd that spin-squeezing rst increases with time and then reaches a plateau. The amount of spin-squeezing can be controlled via phase shift.

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Quantum spin squeezing

Cited by 717 publications

References 308 publications

Quantum Fisher information and spin squeezing in one-axis twisting model

Quantum Fisher information and spin squeezing in one-axis twisting model

Optimal quantum parameter estimation in a pulsed quantum optomechanical system

Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

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