Quantum spiral bandwidth of entangled two-photon states

Abstract

We put forward the concept of quantum spiral bandwidth of the spatial mode function of the two-photon entangled state in spontaneous parametric downconversion. We obtain the bandwidth using the eigenstates of the orbital angular momentum of the biphoton states, and reveal its dependence with the length of the down converting crystal and waist of the pump beam. The connection between the quantum spiral bandwidth and the entropy of entanglement of the quantum state is discussed.

10 pages, 3 figures

References in corpus (15)

• Experimental quantum teleportation
• Entanglement of Orbital Angular Momentum States of Photons
• Concentrating Partial Entanglement by Local Operations
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Quantum Cryptography with Entangled Photons
• Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
• Quantum cryptography with 3-state systems
• Polarization Entanglement Purification using Spatial Entanglement
• Quantum communication complexity protocol with two entangled qutrits
• Entanglement quantification and purification in continuous variable systems
• Multimode Hong-Ou-Mandel interference
• Entangled imaging and wave-particle duality: from the microscopic to the macroscopic realm
• Entangled-photon Fourier optics
• Entangled-photon ellipsometry
• Generation of correlated photons in controlled spatial modes by down-conversion in nonlinear waveguides

Cited by in corpus (83)

• Multi-photon entanglement and interferometry
• Generation of Hyperentangled Photons Pairs
• Experimental high-dimensional two-photon entanglement and violations of generalised Bell inequalities
• Analysis and interpretation of high transverse entanglement in optical parametric down conversion
• Spatial correlations in parametric down-conversion
• Experimental demonstration of fractional orbital angular momentum entanglement of two photons
• Spatially entangled photon-pairs from lithium niobate nonlocal metasurfaces
• Triggered qutrits for Quantum Communication protocols
• Orbital angular momentum of photons and the entanglement of Laguerre-Gaussian modes
• Object Identification Using Correlated Orbital Angular Momentum States
• Entangled Photon-Pair Sources based on three-wave mixing in bulk crystals
• Full characterisation of the quantum spiral bandwidth of entangled biphotons
• Full-field quantum correlations of spatially entangled photons
• Transverse Entanglement Migration in Hilbert Space
• Characterization of high-dimensional entangled systems via mutually unbiased measurements
• Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement
• Limitations to the determination of a Laguerre-Gauss spectrum via projective, phase-flattening measurement
• The effect of atmospheric turbulence on entangled orbital angular momentum states
• Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon
• Single-shot measurement of the orbital-angular-momentum spectrum of light
• Quantum state engineering with twisted photons via adaptive shaping of the pump beam
• Generation of the Complete Four-dimensional Bell Basis
• Spectral decomposition of entangled photons with an arbitrary pump
• Dimensionality of the spatio-temporal entanglement of PDC photon pairs
• Coherent manipulation of a three-dimensional maximally entangled state
• Making and identifying optical superposition of very high orbital angular momenta
• Plasmon assisted transmission of high dimensional orbital angular momentum entangled state
• Shape of the spatial mode function of photons generated in noncollinear spontaneous parametric downconversion
• Spiral bandwidth of four-wave mixing in Rb vapour
• Schmidt modes generated in parametric downconversion
• Post-selection free spatial Bell state generation
• Scattering of wave packets with phases
• Nonlinear management of the angular momentum of soliton clusters
• Two-photon optics of Bessel-Gaussian modes
• Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric downconversion
• Retrieving High-Dimensional Quantum Steering From a Noisy Environment with N Measurement Settings
• Optical Vortices and Vortex Solitons
• Two-Photon Spiral Imaging with Correlated Orbital Angular Momentum States
• Quantum remote sensing of angular rotation of structured objects
• A dimensionality and purity measure for high-dimensional entangled states
• Spatial mode detection by frequency upconversion
• Measurement of the Orbital Angular Momentum Spectrum of Partially Coherent Fields using Double Angular Slit Interference
• Orbital angular momentum based intra- and inter- particle entangled states generated via a quantum dot source
• Discriminating single-photon states unambiguously in high dimensions
• Robust entangled qutrit states in atmospheric turbulence
• High spatial entanglement via chirped quasi-phase-matched optical parametric down-conversion
• Quantum structured light: Non-classical spin texture of twisted single-photon pulses
• Generalized Hermite-Gauss decomposition of the two-photon state produced by spontaneous parametric down-conversion
• Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems
• Increasing two-photon entangled dimensions by shaping input beam profiles
• Measuring two-photon orbital angular momentum entanglement
• Azimuthal distinguishability of entangled photons generated in spontaneous parametric down-conversion
• Gaussian and Airy wave packets of massive particles with orbital angular momentum
• Schmidt-like coherent mode decomposition and spatial intensity correlations of thermal light
• Experimental Study of the Generalized Jarzysnki's Fluctuation Relation Using Entangled Photons
• Information communicated by entangled photon pairs
• Entanglement of the Hermite-Gaussian modes states of photons
• Engineering of multi-dimensional entangled states of photon pairs using hyper-entanglement
• Quantum mechanical formulation of the Busch theorem
• Angular Schmidt spectrum of entangled photons: derivation of an exact formula and experimental characterization for non-collinear phase matching
• High Capacity Imaging and Rotationally Insensitive Object Identification with Correlated Orbital Angular Momentum States
• Transfer of angular spectrum in parametric down-conversion with structured light
• Multiplexing heralded single-photon in orbital angular momentum space
• Spectral Properties of Transverse Laguerre-Gauss Modes in Parametric Down-Conversion
• Postselection-free controlled generation of a high-dimensional orbital-angular-momentum entangled state
• Parametric down-conversion beyond the semi-classical approximation
• Selective tuning of Hilbert spaces in states encoded with spatial modes of light
• High-dimensional maximally entangled photon pairs in parametric down-conversion
• Quantum theory of photonic vortices and quantum statistics of twisted photons
• Controlling the biphoton orbital angular momentum eigenmodes using asymmetric pump vortex beam
• Single photon sources with different spatial modes
• Multiplexing scheme for simplified entanglement-based large-alphabet quantum key distribution
• Manipulating orbital angular momentum entanglement by using the Heisenberg Uncertainty principle
• Tuning the probability detection of OAM entangled photons in Helical Ince-Gauss modes
• Manipulating quantum states with aspheric lenses
• High-Dimensional Entanglement of Photonic Angular Qudits
• Resolution to the quantum-classical dilemma in thermal ghost imaging
• Spatial correlations in four-wave mixing with structured light
• Phase matching in $\beta$-barium borate crystals for spontaneous parametric down-conversion
• Quantum Sensors: Improved Optical Measurement via Specialized Quantum States
• Entangled ripples and twists of light: Radial and azimuthal Laguerre-Gaussian mode entanglement
• Stimulated parametric down-conversion for spatiotemporal metrology
• Identifying two-photon high-dimensional entanglement in transverse patterns