Quantum metrology with Fock and even coherent states: Parity detection approaches to the Heisenberg limit

Hu, Li-Yun; Wei, Chaoping; Huang, Jiehui; Liu, Cunjin

doi:10.1016/j.optcom.2014.02.069

Cited by 23 publications

(12 citation statements)

References 33 publications

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“…In order to formalize this, it is helpful to note that the effective Hamiltonians M C 2 (ψ) and M I 2 (ψ) in Eqs. (7) and (8) satisfy the relation…”

Section: Effective Hamiltonianmentioning

confidence: 99%

“…Optomechanical experiments provide accurate control over the quantum dynamics of mesoscopic mechanical oscillators and light fields on the single photon level [1]. In particular because the interaction between such oscillators and light fields is anharmonic, there is great potential to generate nonclassical, non-Gaussian states [2][3][4][5][6][7] with various applications including quantum metrology [8][9][10], quantum cryptography [11][12][13], and more [14][15][16][17]. A widely pursued goal is the creation of single photon Fock states [4,[18][19][20][21][22], but also multi-photon Fock states and superposition of Fock states are of use in practical applications [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

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Deterministic preparation of non-classical states of light in cavity-optomechanics

Ling,

Mintert

2021

Preprint

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Cavity-optomechanics is an ideal platform for the generation non-Gaussian quantum states due to the anharmonic interaction between the light field and the mechanical oscillator; but exactly this interaction also impedes the preparation in pure states of the light field. In this paper we derive a driving protocol that helps to exploit the anharmonic interaction for state preparation, and that ensures that the state of the light field remains close-to-pure. This shall enable the deterministic preparation of photon Fock states or coherent superpositions thereof.

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“…In order to formalize this, it is helpful to note that the effective Hamiltonians M C 2 (ψ) and M I 2 (ψ) in Eqs. (7) and (8) satisfy the relation…”

Section: Effective Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Deterministic preparation of non-classical states of light in cavity-optomechanics

Ling,

Mintert

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In recent years, with the help of the transformation of phase space W out (α, β) = W in α, β , many studies have been done to investigate the phase sensitivity with Gaussian or non-Gaussian states considered as the input states of an MZI interferometer [21,22,23,24,25,26]. On the other hand, the phase sensitivity for an SU(1,1) interferometer with some Gaussian input states has also been investigated by the same method [27,28,29].…”

Section: Introductionmentioning

confidence: 99%

SU(1,1) interferometry with parity measurement

Wang,

Zhang

2021

Preprint

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We present a new operator method in the Heisenberg representation to obtain the signal of parity measurement within a lossless SU(1,1) interferometer. Based on this method, it is convenient to derive the parity signal directly in terms of input states, including general Gaussian or non-Gaussian state. As applications, we revisit the signal of parity measurement within an SU(1,1) interferometer when a coherent or thermal state and a squeezed vacuum state are considered as input states. In addition, we also obtain the parity signal of a Fock state when it passes through an SU(1,1) interferometer, which is also a new result. Therefore, the operator method proposed in this work may bring convenience to the study of quantum metrology, particularly the phase estimation based on an SU(1,1) interferometer.

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“…In order to improve the precise measurement, generally speaking, we can focus on the following three stages [12]: probe generation [13][14][15][16], probe modification [17][18][19][20][21] and probe readout [22,23], as illustrated in Fig. 1(a).…”

Section: Introductionmentioning

confidence: 99%

Improvement of phase sensitivity in SU(1,1) interferometer via a Kerr nonlinear

Chang¹,

Ye²,

Zhang³

et al. 2021

Preprint

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We propose a theoretical scheme to enhance the phase sensitivity by introducing a Kerr nonlinear phase shift into the traditional SU(1,1) interferometer with a coherent state input and homodyne detection. We investigate the realistic effects of photon losses on phase sensitivity and quantum Fisher information. The results show that compared with the linear phase shift in SU(1,1) interferometer, the Kerr nonlinear case can not only enhance the phase sensitivity and quantum Fisher information, but also significantly suppress the photon losses. We also observe that at the same accessible parameters, internal losses have a greater influence on the phase sensitivity than the external ones. It is interesting that, our scheme shows an obvious advantage of low-cost input resources to obtain higher phase sensitivity and larger quantum Fisher information due to the introduction of nonlinear phase element.

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Quantum metrology with Fock and even coherent states: Parity detection approaches to the Heisenberg limit

Cited by 23 publications

References 33 publications

Deterministic preparation of non-classical states of light in cavity-optomechanics

Deterministic preparation of non-classical states of light in cavity-optomechanics

SU(1,1) interferometry with parity measurement

Improvement of phase sensitivity in SU(1,1) interferometer via a Kerr nonlinear

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