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 (32)
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology with nonclassical states of atomic ensembles
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Quantum enhanced measurements without entanglement
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- Modes and states in Quantum Optics
- Soundness and completeness of quantum root-mean-square errors
- Temporal shaping of entangled photons
- Attosecond-Resolution Hong-Ou-Mandel Interferometry
- Discrete, Tunable Color Entanglement
- Three-photon bosonic coalescence in an integrated tritter
- Sub-Planck phase-space structures and Heisenberg-limited measurements
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Optimal probe states for the estimation of Gaussian unitary channels
- Continuous variable quantum computation with spatial degrees of freedom of photons
- Optimal witnessing of the quantum Fisher information with few measurements
- Broadband frequency mode entanglement in waveguided PDC
- Time-frequency Domain Analogues of Phase Space Sub-Planck Structures
- Parameter estimation of time and frequency shifts with generalized HOM interferometry
- Maximal quantum Fisher information for phase estimation without initial parity
- Time-frequency as quantum continuous variables
- Toolbox for continuous variable entanglement production and measurement using spontaneous parametric down conversion
- Temporal imaging for ultra-narrowband few-photon states of light
- 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
- Achieving metrological precision limits through post-selection
- Verifying entanglement in the Hong-Ou-Mandel dip
- Two-photon phase-sensing with single-photon detection
- Direct Measurement of Time-Frequency Analogues of Sub-Planck Structures
- Measuring sub-Planck structural analogues in chronocyclic phase space
- Metrological advantage at finite temperature for Gaussian phase estimation
- The Hong-Ou-Mandel experiment: from photon indistinguishability to continuous variables quantum computing