Quantum description of timing jitter for single-photon ON-OFF detectors

Gouzien, Élie; Fedrici, Bruno; Zavatta, Alessandro; Tanzilli, Sébastien; D’Auria, Virginia

doi:10.1103/physreva.98.013833

Cited by 12 publications

(34 citation statements)

References 31 publications

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“…However, the detailed knowledge of the detector timing jitter is relevant for time-bin quantum measurements in QKD or quantum state tomography [37], for example. A time-dependent theoretical model for POVMs of non-photon-number-resolving detectors including timing jitter and dead time was recently proposed by Gouzien et al [1]. Here, we extend the tomography of single-photon avalanche detectors to time-dependent POVMs and test the validity of the model proposed by Gouzien et al [1] for our detectors.…”

Section: Introductionmentioning

confidence: 63%

“…A time-dependent theoretical model for POVMs of non-photon-number-resolving detectors including timing jitter and dead time was recently proposed by Gouzien et al [1]. Here, we extend the tomography of single-photon avalanche detectors to time-dependent POVMs and test the validity of the model proposed by Gouzien et al [1] for our detectors. To the best of our knowledge this is the first experimental implementation of time-dependent detector tomography.…”

Section: Introductionmentioning

confidence: 63%

“…In this section, we use a time-dependent detector POVM for describing a phase-independent click-or-no-click detector under the assumption that this detector is hit by non-entangled input states. This detector model is based on a model previously presented by Gouzien et al [1] and takes advantage of a temporal multimode formalism as used by Rohde et al [38], for example. We generalize the previous work of Gouzien et al [1] by not restricting ourselves to a specific model of the detector's inner working.…”

Section: Time-dependent Quantum Detector Tomography In the Photon Num...mentioning

confidence: 99%

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Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularization

et al. 2022

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We report on the first realization of time-dependent quantum detector tomography for commercially available InGaAs avalanche photo detectors. For the construction of appropriate time-dependent POVMs from experimentally measured data, we introduce a novel scheme to calculate the weight of the regularization term based on the amount of measured data. We compare our POVM-based results with the theoretical predictions of the previously developed model by Gouzien et al.. In contrast to our measurement-based construction of a time-dependent POVM for photon detectors, this previous investigation extends a time-independent POVM to a time-dependent one by including effects of detector timing jitter and dead time on the basis of particular model assumptions concerning the inner physical mechanisms of a photon detector. Our experimental results demonstrate that this latter approach is not sufficient to completely describe the observable properties of our InGaAs avalanche photo detectors. Thus, constructing the time-dependent POVM of a detector by direct quantum tomographic measurements can reveal information about the detector's interior that may not easily be included in time-independent POVMs by a priori model assumptions.

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Section: Introductionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 63%

Section: Time-dependent Quantum Detector Tomography In the Photon Num...mentioning

confidence: 99%

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Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularization

et al. 2022

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“…Temporal uncertainty of the detector is considered a limiting factor in quantum state engineering. Therefore, theoretical models describing its formalism have been recently proposed [26,27].…”

Section: Introductionmentioning

confidence: 99%

Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurements

Czerwinski

2021

Preprint

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In this article, we introduce a framework for entanglement characterization by time-resolved single-photon counting with measurement operators defined in the time domain. For a quantum system with unitary dynamics, we generate time-continuous measurements by shifting from the Schrödinger picture to the Heisenberg representation. In particular, we discuss this approach in reference to photonic tomography. To make the measurement scheme realistic, timing uncertainty is imposed on photon counts along with the Poisson noise. Then, the framework is tested numerically on quantum tomography of qubits. Next, we investigate the accuracy of the model for polarizationentangled qubits. Entanglement detection and precision of state reconstruction are quantified by figures of merit and presented on graphs versus the amount of time uncertainty.

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“…The scenario is made real by imposing a detector timing jitter on the measured photon counts. Detection uncertainty is considered a limiting factor in quantum state engineering and, for this reason, theoretical models describing its formalism have been recently proposed [27,28]. The assumption that the timing uncertainty is the source of experimental noise differentiates the current work from [14], where the measured photon counts were distorted by the Poisson noise.…”

Section: Introductionmentioning

confidence: 99%

Phase estimation of time-bin qudits by time-resolved single-photon counting

Czerwinski,

Sedziak-Kacprowicz,

Kolenderski

2020

Preprint

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We present a comprehensive framework for quantum state tomography (QST) of time-bin qudits sent through a fiber. Starting from basic assumptions, we define a positive-operator valued measure (POVM) which is then applied to the quantum state reconstruction problem. A realistic scenario is considered where the time uncertainty of the detector is treated as a source of experimental noise. The performance of the quantum tomography framework is examined through a series of numerical simulations conducted for different parameters describing the apparatus. The quality of state recovery, quantified by the notion of minimum fidelity, is depicted on graphs for a range of fiber lengths. Special attention is paid to relative phase reconstruction for qubits and qutrits. The results present relevant interdependence between the fiber length and the detector jitter.

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Quantum description of timing jitter for single-photon ON-OFF detectors

Cited by 12 publications

References 31 publications

Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularization

Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularization

Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurements

Phase estimation of time-bin qudits by time-resolved single-photon counting

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