Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
arXiv:2111.01375 · doi:10.1103/PhysRevA.105.032609
Abstract
We analytically investigate the sensitivity of Kerr nonlinear phase estimation in a Mach-Zehnder interferometer with two-mode squeezed vacuum states. We find that such a metrological scheme could access a sensitivity scaling over the Boixo \emph{et al.}'s generalized sensitivity limit [S. Boixo \emph{et al}., Phys. Rev. Lett. \textbf{98}, 090401 (2007)], which is saturable with celebrated NOON states. We also show that parity detection is a quasioptimal measurement which can nearly saturate the quantum Cramér-Rao bound in the aforementioned situation. Moreover, we further clarify the supersensitive performance observed in the above scheme is due to the restriction of Boixo \emph{et al}.'s generalized sensitivity limit (BGSL) to probe states with fixed photon numbers. To conquer this problem, we generalize the BGSL into the case with probe states of a fluctuating number of photons, to which our scheme belongs.
6 pages, 3 figures
References in corpus (22)
- Reference frames, superselection rules, and quantum information
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Quantum Illumination with Gaussian States
- Optimal Quantum Phase Estimation
- Twin matter waves for interferometry beyond the classical limit
- Generalized Limits for Single-Parameter Quantum Estimation
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Entanglement-enhanced measurement of a completely unknown phase
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- General optimality of the Heisenberg limit for quantum metrology
- Quantum Metrology: Dynamics vs. Entanglement
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
- Quantum metrology for non-linear phase shifts with entangled coherent states
- A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
- Nonlinear quantum metrology using coupled nanomechanical resonators
- Does nonlinear metrology offer improved resolution? Answers from quantum information theory
- Precision measurements with photon-subtracted or photon-added Gaussian states
- Phase sensitivity bounds for two-mode interferometers
- Quantum limited measurements of atomic scattering properties
- Single- versus two-parameter Fisher information in quantum interferometry
- Optimal Mach-Zehnder phase sensitivity with Gaussian states
Cited by in corpus (7)
- Kerr-effect-based quantum logical gates in decoherence-free subspace
- Quantum-enhanced weak absorption estimation with correlated photons
- Enhancement of nonclassical properties of two-mode squeezed vacuum state with postselected von Neumann measurement
- Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
- Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states
- Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
- Excessive precision compromises accuracy even with unlimited resources due to the trade-off in quantum metrology