Quantum-Limited Mirror-Motion Estimation

Iwasawa, Kohjiro; Makino, Kenzo; Yonezawa, Hidehiro; Tsang, Mankei; Davidović, Aleksandar; Huntington, Elanor H.; Furusawa, Akira

doi:10.1103/physrevlett.111.163602

Cited by 70 publications

(74 citation statements)

References 28 publications

(49 reference statements)

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“…Recently, methods have been proposed to calculate these quantities in the stationary regime for certain relevant setups [22,23,28] or in the dynamical regime in the case of time-continuous homodyne and photon-counting measurements [24,25]. In particular, in order to evaluate the FI corresponding to a continuous homodyne detection, the method presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Genoni

2017

Phys. Rev. A

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We describe a compact and reliable method to calculate the Fisher information for the estimation of a dynamical parameter in a continuously measured linear Gaussian quantum system. Unlike previous methods in the literature, which involve the numerical integration of a stochastic master equation for the corresponding density operator in a Hilbert space of infinite dimension, the formulas here derived depend only on the evolution of first and second moments of the quantum states and thus can be easily evaluated without the need of any approximation. We also present some basic but physically meaningful examples where this result is exploited, calculating analytical and numerical bounds on the estimation of the squeezing parameter for a quantum parametric amplifier and of a constant force acting on a mechanical oscillator in a standard optomechanical scenario.

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Section: Introductionmentioning

confidence: 99%

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Genoni

2017

Phys. Rev. A

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“…Squeezed light is widely used in spectroscopic and interferometric experiments to enhance the measurement sensitivity and to overcome the quantum shot-noise limit [1][2][3][4][5][6][7] . In low-temperature setups, such as in superconducting microwave circuits, it could be a benefit to have a miniaturized source of nonclassical radiation, which can be used for, e.g.…”

Section: Introductionmentioning

confidence: 99%

Creating photon-number squeezed strong microwave fields by a Cooper-pair injection laser

2017

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The use of artificial atoms as an active lasing medium opens a way to construct novel sources of nonclassical radiation. An example is the creation of photon-number squeezed light. Here we present a design of a laser consisting of multiple Cooper-pair transistors coupled to a microwave resonator. Over a broad range of experimentally realizable parameters, this laser creates photonnumber squeezed microwave radiation, characterized by a Fano factor F ≪ 1, at a very high resonator photon number. We investigate the impact of gate-charge disorder in a Cooper-pair transistor and show that the system can create squeezed strong microwave fields even in the presence of maximum disorder.

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“…Optimal estimation strategies have played significant roles in improving the achievable precision in quantum * roy shibdas@yahoo.co.in † dmwberry@gmail.com ‡ i.r.petersen@gmail.com § elanor.huntington@anu.edu.au phase estimation [16][17][18]. For example, adaptive estimation with a Kalman filter has provided mean-square errors less than the standard quantum limit (SQL) [16,19].…”

Section: Introductionmentioning

confidence: 99%

Robust guaranteed-cost adaptive quantum phase estimation

Roy

Berry²,

Petersen

et al. 2017

Phys. Rev. A

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Quantum parameter estimation plays a key role in many fields like quantum computation, communication and metrology. Optimal estimation allows one to achieve the most precise parameter estimates, but requires accurate knowledge of the model. Any inevitable uncertainty in the model parameters may heavily degrade the quality of the estimate. It is therefore desired to make the estimation process robust to such uncertainties. Robust estimation was previously studied for a varying phase, where the goal was to estimate the phase at some time in the past, using the measurement results from both before and after that time within a fixed time interval upto current time. Here, we consider a robust guaranteed-cost filter yielding robust estimates of a varying phase in real time, where the current phase is estimated using only past measurements. Our filter minimizes the largest (worst-case) variance in the allowable range of the uncertain model parameter(s) and this determines its guaranteed cost. It outperforms in the worst case the optimal Kalman filter designed for the model with no uncertainty, that corresponds to the center of the possible range of the uncertain parameter(s). Moreover, unlike the Kalman filter, our filter in the worst case always performs better than the best achievable variance for heterodyne measurements, that we consider as the tolerable threshold for our system. Furthermore, we consider effective quantum efficiency and effective noise power, and show that our filter provides the best results by these measures in the worst case.

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Quantum-Limited Mirror-Motion Estimation

Cited by 70 publications

References 28 publications

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Creating photon-number squeezed strong microwave fields by a Cooper-pair injection laser

Robust guaranteed-cost adaptive quantum phase estimation

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