Enhancing distributed sensing with imperfect error correction

Abstract

Entanglement has shown promise in enhancing information processing tasks in a sensor network, via distributed quantum sensing protocols. As noise is ubiquitous in sensor networks, error correction schemes based on Gottesman, Kitaev and Preskill (GKP) states are required to enhance the performance, as shown in [New J. Phys. 22, 022001 (2020)] assuming homogeneous noise among sensors and perfect GKP states. Here, we extend the analyses of performance enhancement to finite squeezed GKP states in a heterogeneous noise model. To begin with, we study different concatenation schemes of GKP-two-mode-squeezing codes. While traditional sequential concatenation schemes in previous works do improve the suppression of noise, we propose a balanced concatenation scheme that outperforms the sequential scheme in presence of finite GKP squeezing. We then apply these results to two specific tasks in distributed quantum sensing -- parameter estimation and hypothesis testing -- to understand the trade-off between imperfect squeezing and performance. For the former task, we consider an energy-constrained scenario and provide an optimal way to distribute the energy of the finite squeezed GKP states among the sensors. For the latter task, we show that the error probability can still be drastically lowered via concatenation of realistic finite squeezed GKP codes.

12 pages, 8 figures

References in corpus (9)

• Quantum Illumination with Gaussian States
• A No-Go Theorem for Gaussian Quantum Error Correction
• Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
• Distributed quantum phase estimation with entangled photons
• Distributed quantum sensing enhanced by continuous-variable error correction
• Field demonstration of distributed quantum sensing without post-selection
• Ultimate accuracy limit of quantum pulse-compression ranging
• Entanglement-enhanced testing of multiple quantum hypotheses
• Continuous-variable error correction for general Gaussian noises

Cited by in corpus (5)

• Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
• Distributed quantum sensing with optical lattices
• Optimal encoding of oscillators into more oscillators
• The complexity of Gottesman-Kitaev-Preskill states
• Safeguarding Oscillators and Qudits with Distributed Two-Mode Squeezing