Single- versus two-parameter Fisher information in quantum interferometry
arXiv:2007.03265 · doi:10.1103/PhysRevA.102.013704
Abstract
In this paper we reconsider the single parameter quantum Fisher information (QFI) and compare it with the two-parameter one. We find simple relations connecting the single parameter QFI (both in the asymmetric and symmetric phase shift cases) to the two parameter Fisher matrix coefficients. Following some clarifications about the role of an external phase [Phys. Rev. A 85, 011801(R) (2012)], the single-parameter QFI and its over-optimistic predictions have been disregarded in the literature. We show in this paper that both the single- and two-parameter QFI have physical meaning and their predicted quantum Cramér-Rao bounds are often attainable with the appropriate experimental setup. Moreover, we give practical situations of interest in quantum metrology, where the phase sensitivities of a number of input states approach the quantum Cramér-Rao bound induced by the single-parameter QFI, outperforming the two-parameter QFI.
19 pages, 14 figures
References in corpus (35)
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- Quantum metrology with nonclassical states of atomic ensembles
- LIGO: The Laser Interferometer Gravitational-Wave Observatory
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- The elusive Heisenberg limit in quantum enhanced metrology
- Biological measurement beyond the quantum limit
- Quantum limits in optical interferometry
- Optimal Quantum Phase Estimation
- 30 years of squeezed light generation
- First Long-Term Application of Squeezed States of Light in a Gravitational-Wave Observatory
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- An Entanglement-Enhanced Microscope
- Quantum phase estimation with lossy interferometers
- Quantum optical technologies for metrology, sensing and imaging
- Quantum interferometry with and without an external phase reference
- Optimal quantum-enhanced interferometry using a laser power source
- Phase matching condition for enhancement of phase sensitivity in quantum metrology
- Fundamental quantum interferometry bound for the squeezed-light-enhanced gravitational-wave detector GEO600
- Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
- A Search for Tensor, Vector, and Scalar Polarizations in the Stochastic Gravitational-Wave Background
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Gaussian state interferometry with passive and active elements
- Sub-Heisenberg estimation strategies are ineffective
- Optimal Quantum-Enhanced Interferometry
- Optical interferometry in the presence of large phase diffusion
- Fundamental precision limit of a Mach-Zehnder interferometric sensor when one of the inputs is the vacuum
- Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed Vacuum
- Phase sensitivity of a Mach-Zehnder interferometer with single-intensity and difference-intensity detection
- Phase sensitivity bounds for two-mode interferometers
- Optimal Mach-Zehnder phase sensitivity with Gaussian states
- Quantum enhancement of sensitivity achieved by photon-number-resolving detection in the dark port of a two-path interferometer operating at high intensities
- Phase sensitivity for an unbalanced interferometer without input phase-matching restrictions
- Optimal Conventional Measurements for Quantum-Enhanced Interferometry
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- Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry