Phase estimation for an SU(1,1) interferometer in the presence of phase diffusion and photon losses
arXiv:1806.05548 · doi:10.1103/PhysRevA.98.023803
Abstract
We theoretically study the quantum Fisher information (QFI) of the SU(1,1) interferometer with phase shifts in two arms taking account of realistic noise effects. A generalized phase transform including the phase diffusion effect is presented by the purification process. Based on this transform, the analytical QFI and the bound to the quantum precision are derived when considering the effects of phase diffusion and photon losses simultaneously. To beat the standard quantum limit with the reduced precision of phase estimation due to noisy, the upper bounds of decoherence coefficients as a function of total mean photon number are given.
arXiv comment9 pages, 5 figures
References in corpus (48)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quantum sensing
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Nonlinear atom interferometer surpasses classical precision limit
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum metrology from a quantum information science perspective
- The elusive Heisenberg limit in quantum enhanced metrology
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- A Quantum Rosetta Stone for Interferometry
- Quantum phase estimation with lossy interferometers
- Improved quantum metrology using quantum error-correction
- Quantum Error Correction for Metrology
- General optimality of the Heisenberg limit for quantum metrology
- Optical phase estimation in the presence of phase-diffusion
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Noisy metrology beyond the standard quantum limit
- Detection loss tolerant supersensitive phase measurement with an SU(1,1) interferometer
- Coherent-Light Boosted, Super-Sensitive, Quantum Interferometry
- Phase sensing beyond the standard quantum limit with a truncated SU(1,1) interferometer
- Quantum Metrological Limits via a Variational Approach
- Pumped-up SU(1,1) interferometry
- The phase sensitivity of an SU(1,1) interferometer with homodyne detection
- Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection
- Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
- Gaussian state interferometry with passive and active elements
- Spin-mixing Interferometry with Bose-Einstein Condensates
- Optimal phase measurements with bright and vacuum-seeded SU(1,1) interferometers
- Optical interferometry in the presence of large phase diffusion
- Dispersive Qubit Measurement by Interferometry with Parametric Amplifiers
- Engineering the Frequency Spectrum of Bright Squeezed Vacuum via Group Velocity Dispersion in an SU(1,1) Interferometer
- Optimized phase sensing in a truncated SU(1,1) interferometer
- Intramode correlations enhanced phase sensitivities in an SU(1,1) interferometer
- Interaction-free measurements by quantum Zeno stabilisation of ultracold atoms
- Squeezed-light-enhanced atom interferometry below the standard quantum limit
- Phase sensitivity of gain-unbalanced nonlinear interferometers
- Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
- Absolute sensitivity of phase measurement in an SU(1,1) type interferometer
- Stochastic Heisenberg limit: Optimal estimation of a fluctuating phase
- Weak measurements and the joint estimation of phase and phase diffusion
- Effects of loss on the phase sensitivity with parity detection in an SU(1,1) interferometer
- Effects of losses in the hybrid atom-light interferometer
- Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
- Generation of Atom-Light Entanglement in an Optical Cavity for Quantum Enhanced Atom-Interferometery
- Precision bounds for noisy nonlinear quantum metrology
- Joint estimation of phase and phase diffusion for quantum metrology
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