Fundamental Limits of Loss Sensing over Bosonic Channels

Zihao, Gong,; Gagatsos, Christos N.; Guha, Saikat; Bash, Boulat A.

doi:10.1109/isit45174.2021.9517810

Cited by 7 publications

(14 citation statements)

References 42 publications

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“…where ( 22) is maximized when G → 1. This shows that the TMSV+OPA combination can perform close to the limit in (1) in the low-SNR low-transmittance regime.…”

Section: B Tmsv and Optical Parametric Amplifier (Opa) Receivermentioning

confidence: 67%

“…Jη , where 1 Jη is a single-observation CRB. We are interested in the speed of c η 's convergence to 1 Jη as n increases, and the penalty (if any) of the two-stage approach.…”

Section: B Resultsmentioning

confidence: 99%

“…Noises of quantum-mechanical origin limit the performance of advanced high-sensitivity photodetection systems [7]- [9]. Therefore, achieving the ultimate Section II and parts of Section I and IV of this article were presented at the International Symposium on Information Theory (ISIT 2021) [1].…”

Section: Introduction and Problem Setupmentioning

confidence: 99%

“…This is typically done by setting nT ≡ nB 1−η , where nB is the mean number of thermal background photons/mode that corrupt sensor's probes. When the background light does not help the estimation of η, quantum CRB is quantitatively different from results in [20] 1 , and the QFI is upper-bounded by [21, Eq. ( 21)]:…”

Section: Introduction and Problem Setupmentioning

confidence: 99%

“…where NS is the total mean photon number transmitted over n modes. However, [21] leaves open the structure of ρI n S n that saturates (1), and the design of the measurement that achieves the corresponding quantum CRB. Recent work [27] investigates transmittance sensing using Gaussian states [19] and with and without noise aiding the estimation.…”

Section: Introduction and Problem Setupmentioning

confidence: 99%

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Quantum-Enhanced Transmittance Sensing

Gong¹,

Rodriguez²,

Gagatsos³

et al. 2022

Preprint

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We consider the problem of estimating unknown transmittance η of a target bathed in thermal background light. As quantum estimation theory yields the fundamental limits, we employ lossy thermal noise bosonic channel model, which describes sensor-target interaction quantum-mechanically in many practical active-illumination systems (e.g., using emissions at optical, microwave, or radio frequencies). We prove that quantum illumination using two-mode squeezed vacuum (TMSV) states asymptotically achieves minimal quantum Cramér-Rao bound (CRB) over all quantum states (not necessarily Gaussian) in the limit of small input photon number. We characterize the optimal receiver structure for TMSV input and show its advantage over other receivers using both analysis and Monte Carlo simulation.

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“…where ( 22) is maximized when G → 1. This shows that the TMSV+OPA combination can perform close to the limit in (1) in the low-SNR low-transmittance regime.…”

Section: B Tmsv and Optical Parametric Amplifier (Opa) Receivermentioning

confidence: 67%

“…Jη , where 1 Jη is a single-observation CRB. We are interested in the speed of c η 's convergence to 1 Jη as n increases, and the penalty (if any) of the two-stage approach.…”

Section: B Resultsmentioning

confidence: 99%

Section: Introduction and Problem Setupmentioning

confidence: 99%

Section: Introduction and Problem Setupmentioning

confidence: 99%

Section: Introduction and Problem Setupmentioning

confidence: 99%

See 3 more Smart Citations

Quantum-Enhanced Transmittance Sensing

Gong¹,

Rodriguez²,

Gagatsos³

et al. 2022

Preprint

Self Cite

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Quantum loss sensing with two-mode squeezed vacuum state under noisy and lossy environment

Park

Noh

Lee

2023

Sci Rep

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We investigate quantum advantages in loss sensing when the two-mode squeezed vacuum state is used as a probe. Following an experimental demonstration in PRX 4, 011049, we consider a quantum scheme in which the signal mode is passed through the target and a thermal noise is introduced to the idler mode before they are measured. We consider two detection strategies of practical relevance: coincidence-counting and intensity-difference measurement, which are widely used in quantum sensing and imaging experiments. By computing the signal-to-noise ratio, we verify that quantum advantages persist even under strong thermal background noise, in comparison with the classical scheme which uses a single-mode coherent state that directly suffers from the thermal noise. Such robustness comes from the fact that the signal mode suffers from the thermal noise in the classical scheme, while in the quantum scheme, the idler mode does. For a fairer comparison, we further investigate a different setup in which the thermal noise is introduced to the signal mode in the quantum schemes. In this new setup, we show that the quantum advantages are significantly reduced. Remarkably, however, under an optimum measurement scheme associated with the quantum Fisher information, we show that the two-mode squeezed vacuum state does exhibit a quantum advantage over the entire range of the environmental noise and loss. We expect this work to serve as a guide for experimental demonstrations of quantum advantages in loss parameter sensing, which is subject to lossy and noisy environment.

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Optimal transmission estimation with dark counts

Goldberg

Heshami

2023

Meas. Sci. Technol.

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Transmission measurements are essential from fiber optics to spectroscopy. Quantum theory dictates that the ultimate precision in estimating transmission or loss is achieved using probe states with definite photon number and photon-number-resolving detectors (PNRDs). Can the quantum advantage relative to classical probe light still be maintained when the detectors fire due to dark counts and other spurious events? We demonstrate that the answer to this question is affirmative and show in detail how the quantum advantage depends on dark counts and increases with Fock-state-probe strength. These results are especially pertinent as the present capabilities of PNRDs are being dramatically improved.

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Fundamental Limits of Loss Sensing over Bosonic Channels

Cited by 7 publications

References 42 publications

Quantum-Enhanced Transmittance Sensing

Quantum-Enhanced Transmittance Sensing

Quantum loss sensing with two-mode squeezed vacuum state under noisy and lossy environment

Optimal transmission estimation with dark counts

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