Time-frequency metrology with two single-photon states: phase space picture and the Hong-Ou-Mandel interferometer
arXiv:2301.11755 · doi:10.1103/PhysRevA.108.013707
Abstract
We use time-frequency continuous variables as the standard framework to describe states of light in the subspace of individual photons occupying distinguishable auxiliary modes. We adapt to this setting the interplay between metrological properties and the phase space picture already extensively studied for quadrature variables. We also discuss in details the Hong-Ou-Mandel interferometer, which was previously shown to saturate precision limits, and provide a general formula for the coincidence probability of a generalized version of this experiment. From the obtained expression, we systematically analyze the optimality of this measurement setting for arbitrary unitary transformations applied to each one of the input photons. As concrete examples, we discuss transformations which can be represented as translations and rotations in time-frequency phase space for some specific states.
References in corpus (9)
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Continuous variable quantum computation with spatial degrees of freedom of photons
- Time-frequency Domain Analogues of Phase Space Sub-Planck Structures
- Broadband frequency mode entanglement in waveguided PDC
- Parameter estimation of time and frequency shifts with generalized HOM interferometry
- Time-frequency as quantum continuous variables
- Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements
- Quantum metrology using time-frequency as quantum continuous variables: Resources, sub shot-noise precision and phase space representation
- The Hong-Ou-Mandel experiment: from photon indistinguishability to continuous variables quantum computing