Optical interferometry in the presence of large phase diffusion

Genoni, Marco G.; Olivares, Stefano; Brivio, Davide; Cialdi, S.; Cipriani, Daniele; Santamato, Alberto; Vezzoli, Stefano; Paris, Matteo G. A.

doi:10.1103/physreva.85.043817

Cited by 79 publications

(80 citation statements)

References 65 publications

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“…1). Formally, the presence of phase noise can be modeled by the following master equation [17][18][19][20][21][22][23][24][25]:…”

Section: Binary-outcome Detections Under the Phase Diffusionmentioning

confidence: 99%

“…This conclusion is independent of the input states and the presence of noises. Next, we investigate the role of phase diffusion [17][18][19][20][21][22][23][24][25] on the binary-outcome homodyne detection, the parity measurement, and the Z measurement. Our analytical results show that the diffusion plays a role in a form of Nγ, rather than the phase-diffusion rate γ and the mean photon number N alone.…”

Section: Introductionmentioning

confidence: 99%

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Quantum interferometry with binary-outcome measurements in the presence of phase diffusion

2014

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Optimal measurement scheme with an efficient data processing is important in quantum-enhanced interferometry. Here we prove that for a general binary-outcome measurement, the simplest data processing based on inverting the average signal can saturate the Cramér-Rao bound. This idea is illustrated by binary-outcome homodyne detection, even-odd photon counting (i.e., parity detection), and zero-nonzero photon counting that have achieved super-resolved interferometric fringe and shot-noise limited sensitivity in coherent-light MachZehnder interferometer. The roles of phase diffusion are investigated in these binary-outcome measurements. We find that the diffusion degrades the fringe resolution and the achievable phase sensitivity. Our analytical results confirm that the zero-nonzero counting can produce a slightly better sensitivity than that of the parity detection, as demonstrated in a recent experiment.

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“…1). Formally, the presence of phase noise can be modeled by the following master equation [17][18][19][20][21][22][23][24][25]:…”

Section: Binary-outcome Detections Under the Phase Diffusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum interferometry with binary-outcome measurements in the presence of phase diffusion

2014

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“…A possible solution for mitigating the effect of nonideal measurements consists of adapting the design of the probe [8][9][10][11][12]. This normally requires a trustworthy characterization of the measurement device which can be achieved by means of detector tomography [13], i.e., by reconstructing the action of the measurement device given the outcomes from a quorum of input preparations.…”

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confidence: 99%

Metrology with Unknown Detectors

et al. 2016

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The best possible precision is one of the key figures in metrology, but this is established by the exact response of the detection apparatus, which is often unknown. There exist techniques for detector characterization that have been introduced in the context of quantum technologies but apply as well for ordinary classical coherence; these techniques, though, rely on intense data processing. Here, we show that one can make use of the simpler approach of data fitting patterns in order to obtain an estimate of the Cramér-Rao bound allowed by an unknown detector, and we present applications in polarimetry. Further, we show how this formalism provides a useful calculation tool in an estimation problem involving a continuous-variable quantum state, i.e., a quantum harmonic oscillator.

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“…The interaction with the sample might actually depend on other degrees of freedom, on which we might have limited control. A relevant example is given by dispersion e ects in phase estimation: if the phase under observation depends on the optical frequency of a photonic probe, the adoption of broad bandwidths would result in dephasing [13,[17][18][19]. An e cient way to tackle this is a joint estimation of the mean phase together with the characteristic width of the dephasing.…”

Section: Introductionmentioning

confidence: 99%

Monitoring dispersive samples with single photons: the role of frequency correlations

Roccia¹,

Genoni²,

Mancino³

et al. 2017

Quantum Measurements and Quantum Metrology

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Abstract:The physics that governs quantum monitoring may involve other degrees of freedom than the ones initialised and controlled for probing. In this context we address the simultaneous estimation of phase and dephasing characterizing a dispersive medium, and we explore the role of frequency correlations within a photon pair generated via parametric down-conversion, when used as a probe for the medium. We derive the ultimate quantum limits on the estimation of the two parameters, by calculating the corresponding quantum Cramér-Rao bound; we then consider a feasible estimation scheme, based on the measurement of Stokes operators, and address its absolute performances in terms of the correlation parameters, and, more fundamentally, of the role played by correlations in the simultaneous achievability of the quantum Cramér-Rao bounds for each of the two parameters.Quantum light provides a gentler touch when observing fragile samples [1][2][3]. While typically all the information needed can be e ciently collected through a single parameter [4,5], there are instances in which two parameters or more are necessary to capture the physical process under study [6][7][8]. Such parameters might not be associated to compatible observables, hence trade-o may appear in attempts at simultaneously measuring them at the ultimate quantum precision, especially when restrictions are imposed on the resources or, in other words, to the available Hilbert space [7,[9][10][11][12][13][14][15] These trade-o can be interpreted, and often circumvented, by understanding the estimation process under the geometrical standpoint by identifying the physical carrier of information with their state vectors [13]; however, quantum probes only partly approximate such geometric entities, since these typically describe one degree of freedom at the time. The interaction with the sample might actually depend on other degrees of freedom, on which we might have limited control. A relevant example is given by dispersion e ects in phase estimation: if the phase under observation depends on the optical frequency of a photonic probe, the adoption of broad bandwidths would result in dephasing [13,[17][18][19]. An e cient way to tackle this is a joint estimation of the mean phase together with the characteristic width of the dephasing.Single photons from down-conversion are often employed as building blocks of quantum light probes [20][21][22][23][24]. These are produced in pairs that, under standard conditions, share frequency entanglement as a consequence of energy conservation in the generation process [25][26][27][28][29][30][31][32][33] . In this article we calculate what impact such frequency correlation might have on the joint estimation of phase and dephasing in dispersive elements. Our study found that di erences arise if one considers correlated and anticorrelated photon pairs, particularly showing how anticorrelated photons result as more interesting resources to be employed in such noisy phase estimation problem.The manuscript is organized as follows...

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Optical interferometry in the presence of large phase diffusion

Cited by 79 publications

References 65 publications

Quantum interferometry with binary-outcome measurements in the presence of phase diffusion

Quantum interferometry with binary-outcome measurements in the presence of phase diffusion

Metrology with Unknown Detectors

Monitoring dispersive samples with single photons: the role of frequency correlations

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