Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
arXiv:1608.00389 · doi:10.1088/1674-1056/26/9/094205
Abstract
We theoretically present the quantum Cramér-Rao bounds (QCRB) of an SU(1,1) interferometer for Gaussian states input with and without the internal photonic losses. The phase shifts in the single arm and in the double arms are studied and the corresponding analytical expressions of quantum Fisher information with Gaussian input states are presented. Different from the traditional Mach-Zehnder interferometer, the QCRB of single arm case is slightly higher or lower than that of double arms case depending on the input states. With a fixed mean photon number and for pure Gaussian state input, the optimal sensitivity is achieved with a squeezed vacuum input in one mode and the vacuum input in the other. We compare the QCRB with the standard quantum limit and Heisenberg limit. In the case of small internal losses the QCRB can beat the standard quantum limit.
arXiv comment6 pages for the main text and 5 pages for the supplemental material
References in corpus (40)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Quantum limits in optical interferometry
- A Quantum Rosetta Stone for Interferometry
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Fisher Information and entanglement of non-Gaussian spin states
- Quantum information with Gaussian states
- Measuring multipartite entanglement via dynamic susceptibilities
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- General optimality of the Heisenberg limit for quantum metrology
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Quantum state magnification
- Quantum interferometry with and without an external phase reference
- Optimal quantum-enhanced interferometry using a laser power source
- Quantum Fisher information for states in exponential form
- Phase matching condition for enhancement of phase sensitivity in quantum metrology
- The parity operator in quantum optical metrology
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection
- Gaussian state interferometry with passive and active elements
- Spin-mixing Interferometry with Bose-Einstein Condensates
- Robust quantum metrological schemes based on protection of quantum Fisher information
- Ultimate limits to quantum metrology and the meaning of the Heisenberg limit
- Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system
- Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
- Phase sensitivity bounds for two-mode interferometers
- Dispersive Qubit Measurement by Interferometry with Parametric Amplifiers
- Squeezed-light-enhanced atom interferometry below the standard quantum limit
- Information recycling beam-splitters for atom-interferometry with enhanced sensitivity
- Fisher information of a squeezed-state interferometer with a finite photon-number resolution
- Effects of losses in the hybrid atom-light interferometer
- Generation of Atom-Light Entanglement in an Optical Cavity for Quantum Enhanced Atom-Interferometery
- Two-Mode Bosonic Quantum Metrology with Number Fluctuations
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