Conclusive Precision Bounds for SU(1,1) Interferometers
arXiv:1810.08242 · doi:10.1103/PhysRevA.99.042122
Abstract
In this paper, we revisit the quantum Fisher information (QFI) calculation in SU(1,1) interferometer considering different phase configurations. When one of the input modes is a vacuum state, we show by using phase averaging, different phase configurations give same QFI. In addition, by casting the phase estimation as a two-parameter estimation problem, we show that the calculation of the quantum Fisher information matrix (QFIM) is necessary in general. Particularly, within this setup, the phase averaging method is equivalent to a two parameter estimation problem. We also calculate the phase sensitivity for different input states using QFIM approach.
arXiv comment6 pages, 1 figure
References in corpus (18)
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Compatibility in Multiparameter Quantum Metrology
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Optimal quantum-enhanced interferometry using a laser power source
- Quantum interferometry with and without an external phase reference
- Coherent-Light Boosted, Super-Sensitive, Quantum Interferometry
- Phase sensing beyond the standard quantum limit with a truncated SU(1,1) interferometer
- 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
- Optimal Quantum-Enhanced Interferometry
- Optimal phase measurements with bright and vacuum-seeded SU(1,1) interferometers
- Fundamental precision limit of a Mach-Zehnder interferometric sensor when one of the inputs is the vacuum
- Multiparameter estimation with single photons
- Toward demonstrating super-sensitive angular displacement estimation by using orbital angular momentum coherent state and SU(1,1)-SU(2) hybrid interferometer
- Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
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