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.

arXiv comment12 pages, 8 figures

References in corpus (36)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Quantum Machine Learning
• Quantum sensing
• Advances in Quantum Metrology
• Supervised learning with quantum enhanced feature spaces
• Quantum metrology
• Quantum support vector machine for big data classification
• Encoding a qubit in an oscillator
• A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
• Advances in Photonic Quantum Sensing
• Quantum Illumination with Gaussian States
• On the impossibility of distilling Gaussian states with Gaussian operations
• The Kerr-Cat Qubit: Stabilization, Readout, and Gates
• Quantum error correction of a qubit encoded in grid states of an oscillator
• Distributed quantum sensing in a continuous variable entangled network
• A No-Go Theorem for Gaussian Quantum Error Correction
• Multi-parameter estimation in networked quantum sensors
• Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
• Distributed Quantum Metrology and the Entangling Power of Linear Networks
• Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
• Quantum Reading of a Classical Digital Memory
• Convex resource theory of non-Gaussianity
• Optimal and Secure Measurement Protocols for Quantum Sensor Networks
• Distributed quantum phase estimation with entangled photons
• Demonstration of a Reconfigurable Entangled Radiofrequency-Photonic Sensor Network
• Quantum Error Correction with the Toric-GKP Code
• Encoding an oscillator into many oscillators
• Resource theory of non-Gaussian operations
• 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
• Quantum-enhanced data classification with a variational entangled sensor network
• Entanglement-enhanced testing of multiple quantum hypotheses
• Physical-Layer Supervised Learning Assisted by an Entangled Sensor Network
• Experimental quantum reading with photon counting
• 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