Distributed quantum sensing enhanced by continuous-variable error correction
arXiv:1910.14156 · doi:10.1088/1367-2630/ab7257
Abstract
A distributed sensing protocol uses a network of local sensing nodes to estimate a global feature of the network, such as a weighted average of locally detectable parameters. In the noiseless case, continuous-variable multipartite entanglement shared by the nodes can improve the precision of parameter estimation relative to the precision attainable by a network without shared entanglement; for an entangled protocol, the root-mean-square estimation error scales like with the number of sensing nodes, the so-called Heisenberg scaling, while for protocols without entanglement, the error scales like . However, in the presence of loss and other noise sources, although multipartite entanglement still has some advantages for sensing displacements and phases, the scaling of the precision with is less favorable. In this paper, we show that using continuous-variable error correction codes can enhance the robustness of sensing protocols against imperfections and reinstate Heisenberg scaling up to moderate values of . Furthermore, while previous distributed sensing protocols could measure only a single quadrature, we construct a protocol in which both quadratures can be sensed simultaneously. Our work demonstrates the value of continuous-variable error correction codes in realistic sensing scenarios.
10 pages, 7 figures, close to the journal version
References in corpus (56)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Advances in Quantum Metrology
- Gaussian Quantum Information
- Quantum-enhanced measurements: beating the standard quantum limit
- Good Quantum Error-Correcting Codes Exist
- Quantum metrology
- Encoding a qubit in an oscillator
- Continuous variable quantum cryptography using coherent states
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Advances in Photonic Quantum Sensing
- A quantum network of clocks
- Atomic clock performance beyond the geodetic limit
- Quantum Illumination with Gaussian States
- A microchip optomechanical accelerometer
- Biological measurement beyond the quantum limit
- Microwave Quantum Illumination
- Quantum Illumination at the Microwave Wavelengths
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- Quantum enhanced positioning and clock synchronization
- Quantum enhanced measurements without entanglement
- Quantum Enhanced Multiple Phase Estimation
- 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
- Improved quantum metrology using quantum error-correction
- Performance and structure of single-mode bosonic codes
- Entanglement-Enhanced Sensing in a Lossy and Noisy Environment
- Quantum Error Correction for Metrology
- Gaussian-state quantum-illumination receivers for target detection
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- General optimality of the Heisenberg limit for quantum metrology
- Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Noisy metrology beyond the standard quantum limit
- Increasing sensing resolution with error correction
- Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
- Quantum Reading of a Classical Digital Memory
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Optimal and Secure Measurement Protocols for Quantum Sensor Networks
- Analog quantum error correction
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Nondeterministic Noiseless Linear Amplification of Quantum Systems
- One-mode Bosonic Gaussian channels: a full weak-degradability classification
- Optimal estimation of joint parameters in phase space
- Entanglement's Benefit Survives an Entanglement-Breaking Channel
- Single-Mode Displacement Sensor
- Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
- Ancilla-free quantum error correction codes for quantum metrology
- Majorization theory approach to the Gaussian channel minimum entropy conjecture
- Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks
- Scrambling and Complexity in Phase Space
- Narrow Bounds for the Quantum Capacity of Thermal Attenuators
- Repeater-enhanced distributed quantum sensing based on continuous-variable multipartite entanglement
- Fitting magnetic field gradient with Heisenberg-scaling accuracy
- Fault-tolerant quantum metrology
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