Enhanced estimation of loss in the presence of Kerr nonlinearity

Rossi, Matteo A. C.; Albarelli, Francesco; Paris, Matteo G. A.

doi:10.1103/physreva.93.053805

Cited by 22 publications

(19 citation statements)

References 53 publications

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“…For systems operating in the nonlinear regime, the quantum Fisher information (QFI) for measurements of constant gravitational acceleration has already been computed [25,26], and optimal estimation schemes for the nonlinear coupling itself have been considered [27]. In general, the estimation of anharmonicities present in the system is a topic of great interest [28,29] as well as the enhancement of parameter estimation granted by Kerr nonlinearities [30,31]. Additional efforts have focused on parametric driving of the cavity frequency, which manifests itself as a single-mode mechanical squeezing term in the Hamiltonian [32].…”

Section: Introductionmentioning

confidence: 99%

Optimal estimation with quantum optomechanical systems in the nonlinear regime

et al. 2020

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We study the fundamental bounds on precision measurements of parameters contained in a timedependent nonlinear optomechanical Hamiltonian, which includes the nonlinear light-matter coupling, a mechanical displacement term, and a single-mode mechanical squeezing term. By using a recently developed method to solve the dynamics of this system, we derive a general expression for the quantum Fisher information and demonstrate its applicability through three concrete examples: estimation of the strength of a nonlinear light-matter coupling, the strength of a time-modulated mechanical displacement, and a single-mode mechanical squeezing parameter, all of which are modulated at resonance. Our results can be used to compute the sensitivity of a nonlinear optomechanical system to a number of external and internal effects, such as forces acting on the system or modulations of the light-matter coupling.arXiv:1910.04485v1 [quant-ph]

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Section: Introductionmentioning

confidence: 99%

Optimal estimation with quantum optomechanical systems in the nonlinear regime

et al. 2020

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“…Several extensions of the ideas we have proposed here can be envisioned, most notably dropping the assumption of fast parameter encoding. This means that, instead of only delaying the demise of the QFI of an initial state, we should consider the situation where the parameter is encoded simultaneously to the open dynamics, e.g., by adding an Hamiltonian term in the Lindblad master equation or estimating parameters of the non-unitary part of the Gaussian dynamics, see, e.g., [83][84][85][86][87][88][89]. In such scenarios time-local control would be used to increase the rate at which information about the parameter is acquired during the dynamics.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Time-local optimal control for parameter estimation in the Gaussian regime

2020

Self Cite

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Information about a classical parameter encoded in a quantum state can only decrease if the state undergoes a non-unitary evolution, arising from the interaction with an environment. However, instantaneous control unitaries may be used to mitigate the decrease of information caused by an open dynamics. A possible, locally optimal (in time) choice for such controls is the one that maximises the time-derivative of the quantum Fisher information (QFI) associated with a parameter encoded in an initial state. In this study, we focus on a single bosonic mode subject to a Markovian, thermal master equation, and determine analytically the optimal time-local control of the QFI for its initial squeezing angle (optical phase) and strength. We show that a single initial control operation is already optimal for such cases and quantitatively investigate situations where the optimal control is applied after the open dynamical evolution has begun.

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“…On the other hand, if the desired task [1][2][3] requires implementing the self-Kerr transformation on a propagating mode, our new proposal might be more efficient. Furthermore, the observation that the self-Kerr chain only contains N actual points of interaction, but that interference effects happens as if there were 2N sites, helps to elucidate the role of interference in obtaining a high-fidelity approximation in the N → ∞ limit.…”

Section: Application To Two-qubit Gatesmentioning

confidence: 99%

Two-photon self-Kerr nonlinearities for quantum computing and quantum optics

Combes

Brod

2018

Phys. Rev. A

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The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to generate photon-photon interactions. For propagating fields these interactions result in undesirable features such as spectral correlation between the photons. Here, we engineer a discrete network composed of cross-Kerr interaction regions to simulate a self-Kerr medium. The medium has effective long-range interactions implemented in a physically local way. We compute the one-and two-photon S matrices for fields propagating in this medium. From these scattering matrices we show that our proposal leads to a high fidelity photon-photon gate. In the limit where the number of nodes in the network tends to infinity, the medium approximates a perfect self-Kerr interaction in the one-and two-photon regime.

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Enhanced estimation of loss in the presence of Kerr nonlinearity

Cited by 22 publications

References 53 publications

Optimal estimation with quantum optomechanical systems in the nonlinear regime

Optimal estimation with quantum optomechanical systems in the nonlinear regime

Time-local optimal control for parameter estimation in the Gaussian regime

Two-photon self-Kerr nonlinearities for quantum computing and quantum optics

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