Multi-parameter Quantum Magnetometry with Spin States in coarsened measurement reference
arXiv:1808.02600 · doi:10.1007/s11128-019-2351-1
Abstract
We investigate the simultaneous estimation of the intensity and the orientation of a magnetic field by the multi-parameter quantum Fisher information matrix. A general expression is achieved for the simultaneous estimation precision of the intensity and the orientation, which is better than the independent estimation precision for the given number of spin states. Moreover, we consider an imperfect measurement device, coarsened measurement reference. For the case of the measurement reference rotating around the axis randomly, the simultaneous estimation always performs better than the independent estimation. For all other cases, the simultaneous estimation precision will not perform better than the independent estimation when the coarsened degree is larger than a certain value.
arXiv comment7pages,3 figures
References in corpus (38)
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- High-sensitivity diamond magnetometer with nanoscale resolution
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- A quantum network of clocks
- Biological measurement beyond the quantum limit
- Quantum noise limited and entanglement-assisted magnetometry
- Quantum Enhanced Multiple Phase Estimation
- Compatibility in Multiparameter Quantum Metrology
- Real applications of quantum imaging
- Quantum enhanced estimation of a multi-dimensional field
- NMR detection with an atomic magnetometer
- High-Resolution Magnetometry with a Spinor Bose-Einstein Condensate
- Nanoscale magnetic field mapping with a single spin scanning probe magnetometer
- Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Ion traps with enhanced optical and physical access
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
- Optimal estimation of joint parameters in phase space
- A tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
- Quantum interferometry with three-dimensional geometry
- Robust quantum parameter estimation: coherent magnetometry with feedback
- Multipulse Double-Quantum Magnetometry With Near-Surface Nitrogen Vacancy Centers
- Gaussian systems for quantum enhanced multiple phase estimation
- Quantum limit for two-dimensional resolution of two incoherent optical point sources
- Coarsening Measurement References and the Quantum-to-Classical Transition
- Quantum multiparameter metrology with generalized entangled coherent state
- Reconfigurable optical implementation of quantum complex networks
- The role of entanglement in calibrating optical quantum gyroscopes
- Universal quantum magnetometry with spin states at equilibrium
- Quantum parameter estimation with imperfect reference frames
- Fundamental quantum limits of multi-carrier optomechanical sensors
- Quantum metrology at level anti-crossing
- Quantum Metrology in Correlated Environments
- Quantum metrology in coarsened measurement reference
- Joint estimation of phase and phase diffusion for quantum metrology