Quantum-limited measurement of magnetic-field gradient with entangled atoms

Ng, H. T.

doi:10.1103/physreva.87.043602

Cited by 8 publications

(10 citation statements)

References 39 publications

(74 reference statements)

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“…Such a kind of dissipations is well described by one-body atom losses 21 27 . Thus the dissipative phase accumulation obeys a Markovian master equation 34 35 36 38 39 40 41 42 43 ,…”

Section: Resultsmentioning

confidence: 99%

Quantum metrology with spin cat states under dissipation

Huang

Qin

Zhong

et al. 2015

Sci Rep

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Quantum metrology aims to yield higher measurement precisions via quantum techniques such as entanglement. It is of great importance for both fundamental sciences and practical technologies, from testing equivalence principle to designing high-precision atomic clocks. However, due to environment effects, highly entangled states become fragile and the achieved precisions may even be worse than the standard quantum limit (SQL). Here we present a high-precision measurement scheme via spin cat states (a kind of non-Gaussian entangled states in superposition of two quasi-orthogonal spin coherent states) under dissipation. In comparison to maximally entangled states, spin cat states with modest entanglement are more robust against losses and their achievable precisions may still beat the SQL. Even if the detector is imperfect, the achieved precisions of the parity measurement are higher than the ones of the population measurement. Our scheme provides a realizable way to achieve high-precision measurements via dissipative quantum systems of Bose atoms.

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“…Such a kind of dissipations is well described by one-body atom losses 21 27 . Thus the dissipative phase accumulation obeys a Markovian master equation 34 35 36 38 39 40 41 42 43 ,…”

Section: Resultsmentioning

confidence: 99%

Quantum metrology with spin cat states under dissipation

Huang

Qin

Zhong

et al. 2015

Sci Rep

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show abstract

“…Both of these two sets of quantum states are orthonormal eigenstates of the coherence operator expressed as , see Ref. 25 . To implement these two von Neumann measurements in experiment, it requires performing global operators on N atoms instead of local operators on each atom.…”

Section: Resultsmentioning

confidence: 99%

“…A standard measuring instrument for determining the gradient is differential atom interferometry, which utilizes two completely polarized atomic ensembles. Recently, quantum-enhanced measurements of magnetic field gradient have been proposed 22 23 24 25 .…”

mentioning

confidence: 99%

Fitting magnetic field gradient with Heisenberg-scaling accuracy

Zhang

Wang

et al. 2014

Sci Rep

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The linear function is possibly the simplest and the most used relation appearing in various areas of our world. A linear relation can be generally determined by the least square linear fitting (LSLF) method using several measured quantities depending on variables. This happens for such as detecting the gradient of a magnetic field. Here, we propose a quantum fitting scheme to estimate the magnetic field gradient with N-atom spins preparing in W state. Our scheme combines the quantum multi-parameter estimation and the least square linear fitting method to achieve the quantum Cramér-Rao bound (QCRB). We show that the estimated quantity achieves the Heisenberg-scaling accuracy. Our scheme of quantum metrology combined with data fitting provides a new method in fast high precision measurements.

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“…[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] For a multiparticle system of cold atoms, it has been demonstrated that quantum entanglement and spin squeezing can be prepared by employing intrinsic inter-atom interactions or laser induced artificial inter-atom interactions. [27][28][29] Up to now, cold atoms have been widely used for implementing precision metrology, such as interferometers, [30][31][32] gyroscopes, 33 quantum clocks, [34][35][36] magnetic field detectors [37][38][39][40] and micro-gravity sensors. [41][42][43][44] In this chapter, we review the recent progresses in quantum metrology with cold atoms.…”

Section: Introductionmentioning

confidence: 99%

Quantum Metrology With Cold Atoms

Huang

Zhong

et al. 2014

Annual Review of Cold Atoms and Molecules

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Quantum metrology is the science that aims to achieve precision measurements by making use of quantum principles. Attribute to the well-developed techniques of manipulating and detecting cold atoms, cold atomic systems provide an excellent platform for implementing precision quantum metrology. In this chapter, we review the general procedures of quantum metrology and some experimental progresses in quantum metrology with cold atoms. Firstly, we give the general framework of quantum metrology and the calculation of quantum Fisher information, which is the core of quantum parameter estimation. Then, we introduce the quantum interferometry with single and multiparticle states. In particular, for some typical multiparticle states, we analyze their ultimate precision limits and show how quantum entanglement could enhance the measurement precision beyond the standard quantum limit. Further, we review some experimental progresses in quantum metrology with cold atomic systems.

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Quantum-limited measurement of magnetic-field gradient with entangled atoms

Cited by 8 publications

References 39 publications

Quantum metrology with spin cat states under dissipation

Quantum metrology with spin cat states under dissipation

Fitting magnetic field gradient with Heisenberg-scaling accuracy

Quantum Metrology With Cold Atoms

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