Optimality of Gaussian receivers for practical Gaussian distributed sensing
arXiv:1803.01305 · doi:10.1103/PhysRevA.98.032325
Abstract
We study the problem of estimating a function of many parameters acquired by sensors that are distributed in space, e.g., the spatial gradient of a field. We restrict ourselves to a setting where the distributed sensors are probed with experimentally practical resources, namely, field modes in separable displaced thermal states, and focus on the optimal design of the optical receiver that measures the phase-shifted returning field modes. Within this setting, we demonstrate that a locally optimal measurement strategy, i.e., one that achieves the standard quantum limit for all phase shift values, is a Gaussian measurement, and moreover, one that is separable. We also demonstrate the utility of adaptive phase measurements for making estimation performance robust in cases where one has little prior information on the unknown parameters. In this setting we identify a regime where it is beneficial to use structured optical receivers that entangle the received modes before measurement.
arXiv comment10 pages, 4 figures
References in corpus (24)
- Quantum sensing
- Advances in Quantum Metrology
- Gaussian Quantum Information
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- The Real Symplectic Groups in Quantum Mechanics and Optics
- Quantum Enhanced Multiple Phase Estimation
- Multi-parameter estimation in networked quantum sensors
- Quantum Trajectories and Quantum Measurement Theory
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Ion traps with enhanced optical and physical access
- Quantum interferometry with and without an external phase reference
- Optimal phase measurements with pure Gaussian states
- One-mode Bosonic Gaussian channels: a full weak-degradability classification
- Multiparameter Gaussian Quantum Metrology
- Non-destructive measurement of the transition probability in a Sr optical lattice clock
- Gaussian systems for quantum enhanced multiple phase estimation
- Miniature cavity-enhanced diamond magnetometer
- Optimal probe states for the estimation of Gaussian unitary channels
- Quantum-enhanced metrology for multiple phase estimation with noise
- Local versus Global Strategies in Multi-parameter Estimation
- Quantum multiparameter metrology with generalized entangled coherent state
- Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge
- Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
- An Atom Interferometer inside a Hollow-core Photonic Crystal Fiber