Geometric Resilience of Quantum LiDAR in Turbulent Media: A Wasserstein Distance Approach

• URL: http://arxiv.org/abs/2602.24280v1
• Date: Fri, 27 Feb 2026 18:51:41 GMT
• Title: Geometric Resilience of Quantum LiDAR in Turbulent Media: A Wasserstein Distance Approach
• Authors: Arnaud Coatanhay, Angélique Drémeau,
• Abstract summary: Quantum-enhanced LiDAR, exploiting squeezed states of light, promises significant sensitivity gains over classical protocols.<n>In realistic scenarios characterized by high optical losses and atmospheric turbulence, standard figures of merit, such as quantum fidelity or the quantum Chernoff bound, saturate rapidly.<n>We propose the Quantum Wasserstein Distance of order 2 as a robust geometric metric for lossy quantum sensing.
• Score: 1.3668775313689965
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum-enhanced LiDAR, exploiting squeezed states of light, promises significant sensitivity gains over classical protocols. However, in realistic scenarios characterized by high optical losses and atmospheric turbulence, standard figures of merit, such as quantum fidelity or the quantum Chernoff bound, saturate rapidly, failing to provide a usable gradient for system optimization. In this work, we propose the Quantum Wasserstein Distance of order 2 ($W_2$) as a robust geometric metric for lossy quantum sensing. Unlike overlap-based measures, $W_2$ quantifies the transport cost in phase space and maintains a linear response to channel transmissivity, even in regimes where the quantum state is virtually indistinguishable from thermal noise. We derive an analytical threshold for the quantum advantage, demonstrating that squeezing is only beneficial when the transmissivity exceeds a critical value determined by the environmental noise-to-signal ratio. Furthermore, using Monte-Carlo simulations of a fading channel, we show that $W_2$ acts as a high-fidelity estimator of instantaneous link quality, exhibiting a wide dynamic range immune to the numerical instabilities of fidelity-based metrics. This geometric framework bridges the gap between quantum optimal transport and practical receiver design, paving the way for adaptive sensing in scattering media.

Related papers

• Optimal quantum learning in proximity to universality [0.0]
  boundary between classically simulable and computationally superior quantum systems is fundamental to identifying true quantum advantage.<n>We introduce a tunable $N$-qubit random circuit model, where a fraction $p$ of Clifford gates are probabilistically substituted with nonstabilizing conditional-$hatT$ gates.<n>We establish a direct correspondence between the reservoir's performance on temporal processing tasks and its entanglement spectrum statistics and long-range nonstabilizer resource content.
  arXiv  Detail & Related papers  (2025-10-21T13:27:41Z)
• Exploiting Non-Markovian Memory Effects for Robust Quantum Teleportation [0.0]
  We study how non-Markovian dynamics influence teleportation fidelity.<n>Two measurement-based strategies can enhance teleportation fidelity under non-Markovian noise.<n>Our results establish a concrete link between non-Markovian memory effects, statistical speed, and coherence preservation.
  arXiv  Detail & Related papers  (2025-09-23T21:05:09Z)
• Heisenberg limited quantum algorithm for estimating the fidelity susceptibility [4.524082537369606]
  We present a quantum algorithm that achieves efficient and Heisenberg-limited estimation of fidelity susceptibility.<n>Our work bridges quantum many-body physics and algorithmic design, enabling scalable exploration of quantum criticality.
  arXiv  Detail & Related papers  (2025-09-01T10:56:50Z)
• Low Cost Bayesian Experimental Design for Quantum Frequency Estimation with Decoherence [45.74830585715129]
  We introduce WES: a Window Expansion Strategy for low cost adaptive Bayesian experimental design.<n>We employ empirical cost-reduction techniques to keep the optimization overhead low, curb scaling problems, and enable high degrees of parallelism.<n> Numerical simulations show that WES delivers the most reliable performance and fastest learning rate, saturating the Heisenberg limit.
  arXiv  Detail & Related papers  (2025-08-09T23:41:58Z)
• Calibration of Quantum Devices via Robust Statistical Methods [45.464983015777314]
  We numerically analyze advanced statistical methods for Bayesian inference against the state-of-the-art in quantum parameter learning.<n>We show advantages of these approaches over existing ones, namely under multi-modality and high dimensionality.<n>Our findings have applications in challenging quantumcharacterization tasks namely learning the dynamics of open quantum systems.
  arXiv  Detail & Related papers  (2025-07-09T15:22:17Z)
• Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations [44.99833362998488]
  This work presents a practical numerical assessment of a hybrid quantum-classical approach to CFD based on the Lattice Boltzmann Method (LBM)<n>We evaluate this method on three benchmark cases featuring different boundary conditions, periodic, bounceback, and moving wall.<n>Our results confirm the validity of the approach, achieving median error fidelities on the order of $10-3$ and success probabilities sufficient for practical quantum state sampling.
  arXiv  Detail & Related papers  (2025-04-17T15:41:48Z)
• Bayesian Quantum Amplitude Estimation [46.03321798937855]
  We present BAE, a problem-tailored and noise-aware Bayesian algorithm for quantum amplitude estimation.<n>In a fault tolerant scenario, BAE is capable of saturating the Heisenberg limit; if device noise is present, BAE can dynamically characterize it and self-adapt.<n>We propose a benchmark for amplitude estimation algorithms and use it to test BAE against other approaches.
  arXiv  Detail & Related papers  (2024-12-05T18:09:41Z)
• Harnessing high-dimensional temporal entanglement using limited interferometric setups [41.94295877935867]
  We develop the first complete analysis of high-dimensional entanglement in the polarization-time-domain. We show how to efficiently certify relevant density matrix elements and security parameters for Quantum Key Distribution. We propose a novel setup that can further enhance the noise resistance of free-space quantum communication.
  arXiv  Detail & Related papers  (2023-08-08T17:44:43Z)
• Quantum-Enhanced Transmittance Sensing [2.2439169036819124]
  We consider the problem of estimating unknown transmittance $theta$ of a target bathed in thermal background light. As quantum estimation theory yields the fundamental limits, we employ the lossy thermal-noise bosonic channel model. We prove that quantum illumination using two-mode squeezed vacuum states achieves minimal quantum'er-Rao bound frequencies in the limit of low transmitted power.
  arXiv  Detail & Related papers  (2022-08-12T18:14:22Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• A comparison between quantum and classical noise radar sources [0.07829352305480283]
  We compare the performance of a quantum radar based on two-mode squeezed states with a classical radar system based on correlated thermal noise. With a constraint of equal number of photons $N_S$ transmitted to probe the environment, we find that the quantum setup exhibits an advantage with respect to its classical counterpart.
  arXiv  Detail & Related papers  (2020-08-28T15:45:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.