Intramode correlations enhanced phase sensitivities in an SU(1,1) interferometer
arXiv:1609.03308 · doi:10.1103/PhysRevA.96.033809
Abstract
We theoretically derive the lower and upper bounds of quantum Fisher information (QFI) of an SU(1,1) interferometer whatever the input state chosen. According to the QFI, the crucial resource for quantum enhancement is shown to be large intramode correlations indicated by the Mandel -parameter. For a photon-subtracted squeezed vacuum state with high super-Poissonian statistics in one input port and a coherent state in the other input port, the quantum Cramér-Rao bound of the SU(1,1) interferometer can beat scaling in presence of large fluctuations in the number of photons, with a given fixed input mean number of photons. The definition of the Heisenberg limit (HL) should take into account the amount of fluctuations. The HL considering the number fluctuation effect may be the ultimate phase limit.
arXiv comment9 pages, 5 figures. arXiv admin note: text overlap with arXiv:1608.00389
References in corpus (45)
- 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
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum metrology from a quantum information science perspective
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- The elusive Heisenberg limit in quantum enhanced metrology
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- A Quantum Rosetta Stone for Interferometry
- Schroedinger cat-like states by conditional measurements on a beam-splitter
- Quantum phase estimation with lossy interferometers
- Improved quantum metrology using quantum error-correction
- Controllable generation of highly nonclassical states from nearly pure squeezed vacua
- Generation of Optical Coherent State Superpositions by Number-Resolved Photon Subtraction from Squeezed Vacuum
- Quantum Error Correction for Metrology
- General optimality of the Heisenberg limit for quantum metrology
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Noisy metrology beyond the standard quantum limit
- Nonclassicality and decoherence of photon-subtracted squeezed states
- 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
- True precision limits in quantum metrology
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path 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
- Spin-mixing Interferometry with Bose-Einstein Condensates
- Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
- Phase sensitivity bounds for two-mode interferometers
- Dispersive Qubit Measurement by Interferometry with Parametric Amplifiers
- Practical quantum metrology with large precision gains in the low photon number regime
- Interaction-free measurements by quantum Zeno stabilisation of ultracold atoms
- Creating quanta with "annihilation" operator
- Squeezed-light-enhanced atom interferometry below the standard quantum limit
- Large amplitude coherent state superposition generated by a time-separated two-photon subtraction from a continuous wave squeezed vacuum
- Stochastic Heisenberg limit: Optimal estimation of a fluctuating phase
- Information recycling beam-splitters for atom-interferometry with enhanced sensitivity
- Effects of losses in the hybrid atom-light interferometer
- Generation of Atom-Light Entanglement in an Optical Cavity for Quantum Enhanced Atom-Interferometery
- Physical Resources for Quantum-enhanced Phase Estimation
- Two-Mode Bosonic Quantum Metrology with Number Fluctuations
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- Effects of losses on the sensitivity of an actively correlated Mach-Zehnder interferometer
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- Phase estimation of Mach-Zehnder interferometer via Laguerre excitation squeezed state
- Enhanced phase sensitivity in a Mach-Zehnder interferometer via photon recycling
- A novel two-mode squeezed light based on double-pump phase-matching
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