Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2011.07081 · PRX Quantum

Quantum-Limited Estimation of Range and Velocity

Zixin Huang, Cosmo Lupo, Pieter Kok

Published Jul 6, 2021• 33 citations
arXivHTMLPDF

Abstract

The ultimate precision limits are determined for simultaneously estimating the range and velocity of a target and the range and velocity separations of a pair of targets by using lidar systems, with or without entanglement.
DOI
10.1103/prxquantum.2.030303

Related papers

Quantum-limited estimation of range and velocity

Zixin Huang, Cosmo Lupo, Kok, P.

The energy-time uncertainty relation puts a fundamental limit on the precision of lidars for the estimation of range and velocity. The precision in the estimation of the range (through the time of arrival) and the velocity (through Doppler frequency shifts) of a target are inversely related to each other and are dictated by the bandwidth of the signal. Here, we use the theoretical toolbox of multiparameter quantum metrology to determine the ultimate precision of the simultaneous estimation of range and velocity. We consider the case of a single target as well as a pair of closely separated targets. In the latter case, we focus on the relative position and velocity. We show that the tradeoff between the estimation precision of position and velocity is relaxed for entangled probe states and is completely lifted in the limit of perfect photon time-frequency correlations. In the regime where the two targets are close to each other, the relative position and velocity can be estimated nearly optimally and jointly, even without entanglement, using the measurements determined by the symmetric logarithmic derivatives.

•Jul 1, 2021•25 citations

Advances in quantum radar and quantum LiDAR

Ricardo Gallego Torromé, Shabir Barzanjeh

arXiv:2310.07198•Progress in Quantum Electronics•Dec 29, 2023•61 citations

Límits quàntics en la resolució de sistemes d'imatge i Lidar

Lamaison Vidarte, Miren

In this project we study the ultimate precision of a Lidar system aimed at estimating the position and velocity of a target with quantum light (entangled photons). By comparison, a standard Lidar system determines the position and velocity of an object using a beam of coherent light. Using Quantum Estimation Theory we will show that the use of entangled pairs of photons can improve the precision of the measurement of position and velocity simultaneously. Several bounds for the error (typical deviation) in the estimation of the parameters are found. We study which of them is the one that gives us more information about the limits of the uncertainty in the estimation. In particular, we have found that the Holevo Cramer-Rao bound is the best one can get for this case. Finally, an idea of how this bound could be experimentally achieved is given.

•Jun 1, 2019•0 citations

Quantum Lidar Based on Squeezed Sates of Light

冯飞 FENG Fei, 许江盟 XU Jiang-meng, 马菁汀 MA Jing-ting +2 more

ACTA PHOTONICA SINICA•Jan 1, 2017•0 citations

Entanglement-enhanced lidars for simultaneous range and velocity measurements

Quntao Zhuang, Zheshen Zhang, Jeffrey H. Shapiro

Lidar is a well-known optical technology for measuring a target's range and radial velocity. We describe two lidar systems that use entanglement between transmitted signals and retained idlers to obtain significant quantum enhancements in simultaneous measurements of these parameters. The first entanglement-enhanced lidar circumvents the Arthurs-Kelly uncertainty relation for simultaneous measurements of range and radial velocity from the detection of a single photon returned from the target. This performance presumes there is no extraneous (background) light, but is robust to the round-trip loss incurred by the signal photons. The second entanglement-enhanced lidar---which requires a lossless, noiseless environment---realizes Heisenberg-limited accuracies for both its range and radial-velocity measurements, i.e., their root-mean-square estimation errors are both proportional to $1/M$ when $M$ signal photons are transmitted. These two lidars derive their entanglement-based enhancements from the use of a unitary transformation that takes a signal-idler photon pair with frequencies ${\ensuremath{\omega}}_{S}$ and ${\ensuremath{\omega}}_{I}$ and converts it to a signal-idler photon pair whose frequencies are $({\ensuremath{\omega}}_{S}+{\ensuremath{\omega}}_{I})/2$ and $({\ensuremath{\omega}}_{S}\ensuremath{-}{\ensuremath{\omega}}_{I})/2$. Insight into how this transformation provides its benefits is provided through an analogy to continuous-variable superdense coding.

arXiv:1705.06793•Physical Review A•Oct 16, 2017•74 citations

Quantum limits of the resolution of imaging and lidar systems

Miren Lamaison Vidarte

•Jun 1, 2019•1 citation
The energy-time uncertainty relation puts a fundamental limit on the precision of lidars for the estimation of range and velocity. The precision in the estimation of the range (through the time of arrival) and the velocity (through Doppler frequency shifts) of a target are inversely related to each other and are dictated by the bandwidth of the signal. Here, we use the theoretical toolbox of multiparameter quantum metrology to determine the ultimate precision of the simultaneous estimation of range and velocity. We consider the case of a single target as well as a pair of closely separated targets. In the latter case, we focus on the relative position and velocity. We show that the tradeoff between the estimation precision of position and velocity is relaxed for entangled probe states and is completely lifted in the limit of perfect photon time-frequency correlations. In the regime where the two targets are close to each other, the relative position and velocity can be estimated nearly optimally and jointly, even without entanglement, using the measurements determined by the symmetric logarithmic derivatives.
In this project we study the ultimate precision of a Lidar system aimed at estimating the position and velocity of a target with quantum light (entangled photons). By comparison, a standard Lidar system determines the position and velocity of an object using a beam of coherent light. Using Quantum Estimation Theory we will show that the use of entangled pairs of photons can improve the precision of the measurement of position and velocity simultaneously. Several bounds for the error (typical deviation) in the estimation of the parameters are found. We study which of them is the one that gives us more information about the limits of the uncertainty in the estimation. In particular, we have found that the Holevo Cramer-Rao bound is the best one can get for this case. Finally, an idea of how this bound could be experimentally achieved is given.
Lidar is a well-known optical technology for measuring a target's range and radial velocity. We describe two lidar systems that use entanglement between transmitted signals and retained idlers to obtain significant quantum enhancements in simultaneous measurements of these parameters. The first entanglement-enhanced lidar circumvents the Arthurs-Kelly uncertainty relation for simultaneous measurements of range and radial velocity from the detection of a single photon returned from the target. This performance presumes there is no extraneous (background) light, but is robust to the round-trip loss incurred by the signal photons. The second entanglement-enhanced lidar---which requires a lossless, noiseless environment---realizes Heisenberg-limited accuracies for both its range and radial-velocity measurements, i.e., their root-mean-square estimation errors are both proportional to 1/M1/M1/M when MMM signal photons are transmitted. These two lidars derive their entanglement-based enhancements from the use of a unitary transformation that takes a signal-idler photon pair with frequencies ${\ensuremath{\omega}}_{S}$ and ${\ensuremath{\omega}}_{I}$ and converts it to a signal-idler photon pair whose frequencies are $({\ensuremath{\omega}}_{S}+{\ensuremath{\omega}}_{I})/2$ and $({\ensuremath{\omega}}_{S}\ensuremath{-}{\ensuremath{\omega}}_{I})/2$. Insight into how this transformation provides its benefits is provided through an analogy to continuous-variable superdense coding.