Spatial correlations in parametric down-conversion
arXiv:1010.1236 · doi:10.1016/j.physrep.2010.06.003
Abstract
The transverse spatial effects observed in photon pairs produced by parametric down-conversion provide a robust and fertile testing ground for studies of quantum mechanics, non-classical states of light, correlated imaging and quantum information. Over the last 20 years there has been much progress in this area, ranging from technical advances and applications such as quantum imaging to investigations of fundamental aspects of quantum physics such as complementarity relations, Bell's inequality violation and entanglement. The field has grown immensely: a quick search shows that there are hundreds of papers published in this field. The objective of this article is to review the building blocks and major theoretical and experimental advances in the field, along with some possible technical applications and connections to other research areas.
116 pages, 35 figures. To appear in Physics Reports
References in corpus (45)
- Experimental quantum teleportation
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Free-Space distribution of entanglement and single photons over 144 km
- Correlated imaging, quantum and classical
- Quantum teleportation between light and matter
- Beating the channel capacity limit for linear photonic superdense coding
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Quantum Illumination with Gaussian States
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- An experimental test of non-local realism
- Testing spooky action at a distance
- Continuous-variable quantum cryptography is secure against non-gaussian attacks
- Unified Theory of Ghost Imaging with Gaussian-State Light
- Hyperentangled Bell-state analysis
- Entanglement conditions for two-mode states: Applications
- Quantum communication without alignment using multiple-qubit single-photon states
- Transverse Entanglement Migration in Hilbert Space
- Observation of tunable Popescu-Rohrlich correlations through post-selection of a gaussian state
- Necessary and sufficient conditions for bipartite entanglement
- Two-photon wave mechanics
- Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
- Coherent imaging of a pure phase object with classical incoherent light
- On Secure Quantum Key Distribution Using Continuous Variables of Single Photons
- Shannon dimensionality of quantum channels and its application to photon entanglement
- Experimental Violation of Bell's Inequality in Spatial-Parity Space
- Inseparability criteria based on matrices of moments
- Propagation of transverse intensity correlations of a two-photon state
- Uncertainty inequalities as entanglement criteria for negative partial-transpose states
- How to create and detect N-dimensional entangled photons with an active phase hologram
- Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric downconversion
- Detection of transverse entanglement in phase space
- Measurement and control of spatial qubits generated by passing photons through double-slits
- On the Relationship between Resolution Enhancement and Multiphoton Absorption Rate in Quantum Lithography
- Synthesis and Analysis of Entangled Photonic Qubits in Spatial-Parity Space
- Propagation of spatially entangled qudits through free space
- Measurement of spatial qubits
- Operational Quantification of Continuous Variable Correlations
- Experimentally friendly bounds on non-Gaussian entanglement from second moments
- Gaussian-State Theory of Two-Photon Imaging
- Signal-to-noise ratio of Gaussian-state ghost imaging
- Generating mixtures of spatial qubits
- An Entropic Einstein-Podolsky-Rosen Criterion
- Quantum key distribution without reference frame alignment: Exploiting photon orbital angular momentum
Cited by in corpus (194)
- Quantum Imaging with Undetected Photons
- Imaging with a small number of photons
- Nonlinear optical signals and spectroscopy with quantum light
- Modes and states in Quantum Optics
- Imaging high-dimensional spatial entanglement with a camera
- Imaging Through Noise With Quantum Illumination
- EPR-based ghost imaging using a single-photon-sensitive camera
- Entangled Photon-Pair Sources based on three-wave mixing in bulk crystals
- Introduction to the Transverse Spatial Correlations in Spontaneous Parametric Down-Conversion through the Biphoton Birth Zone
- Hyperspectral Infrared Microscopy With Visible Light
- Theory of Quantum Imaging with Undetected Photons
- Entanglement-Based Quantum Information Technology
- Shaping the joint spectrum of down-converted photons through optimized custom poling
- Spontaneous Parametric Down-Conversion and Quantum Walks in Arrays of Quadratic Nonlinear Waveguides
- Introduction to the Absolute Brightness and Number Statistics in Spontaneous Parametric Down-Conversion
- Continuous variable quantum computation with spatial degrees of freedom of photons
- Quantifying high dimensional entanglement with two mutually unbiased bases
- Measurement of infrared optical constants with visible photons
- Quantum key distribution overcoming extreme noise: simultaneous subspace coding using high-dimensional entanglement
- Real-time shaping of entangled photons by classical control and feedback
- Quantifying entanglement in a 68-billion dimensional quantum state space
- Quantum imaging and metrology with undetected photons: a tutorial
- Spatially-entangled Photon-pairs Generation Using Partial Spatially Coherent Pump Beam
- Induced Coherence, Vacuum Fields, and Complementarity in Biphoton Generation
- Dual-path source engineering in integrated quantum optics
- Conceptual understanding through efficient inverse-design of quantum optical experiments
- The influence of pump coherence on the generation of position-momentum entanglement in down-conversion
- Reliable Entanglement Detection Under Coarse--Grained Measurements
- High efficiency coupling of photon pairs in practice
- Experimental Observation of Quantum Correlations in Modular Variables
- Quantifying the Momentum Correlation between Two Light Beams by Detecting One
- Pattern revivals from fractional Gouy phases in structured light
- Effects of crystal length on the angular spectrum of spontaneous parametric downconversion photon pairs
- Experimental wavelength-multiplexed entanglement-based quantum cryptography
- Quantum illumination imaging with a single-photon avalanche diode camera
- Boosting entanglement generation in down-conversion with incoherent illumination
- Quantum transport of high-dimensional spatial information with a nonlinear detector
- A classical model of spontaneous parametric down-conversion
- Coincidence detection of spatially correlated photon pairs with a monolithic time-resolving detector array
- Simultaneous transmission of hyper-entanglement in 3 degrees of freedom through a multicore fiber
- Resource-efficient photonic quantum computation with high-dimensional cluster states
- Quantum Antennas
- Quantum phase-sensitive diffraction and imaging using entangled photons
- Orbital angular momentum based intra- and inter- particle entangled states generated via a quantum dot source
- Experimental quantum imaging distillation with undetected light
- Position Correlation Enabled Quantum Imaging with Undetected Photons
- Time-frequency as quantum continuous variables
- Experimental space-division multiplexed polarization-entanglement distribution through 12 paths of a multicore fiber
- Resolution limit in quantum imaging with undetected photons using position correlations
- Cancellation of atmospheric turbulence effects in entangled two-photon beams
- Influence of pump coherence on the quantum properties of spontaneous parametric down-conversion
- Einstein-Podolsky-Rosen Paradox with Position-Momentum Entangled Macroscopic Twin Beams
- Optimising the use of detector arrays for measuring intensity correlations of photon pairs
- Observation of non-diffracting behavior at the single-photon level
- Quantifying high-dimensional spatial entanglement with a single-photon-sensitive time-stamping camera
- Spatially entangled Airy photons
- Gaussian functions are optimal for waveguided nonlinear-quantum-optical processes
- Polarization effects in the nonlinear interference of down-converted photons
- Generalized Hermite-Gauss decomposition of the two-photon state produced by spontaneous parametric down-conversion
- Experimental observation of the X-shaped near field spatio-temporal correlation of ultra-broadband twin beams
- Deterministic Quantum Computation With One Photonic Qubit
- Quantum Information Processing by Weaving Quantum Talbot Carpets
- Information encoding in the spatial correlations of entangled twin beams
- Characterizing twin-particle entanglement in double-well potentials
- Compressively characterizing high-dimensional entangled states with complementary, random filtering
- Detecting entanglement of continuous variables with three mutually unbiased bases
- Localization of relativistic particles and uncertainty relations
- Biological Microscopy with Undetected Photons
- Ghost imaging with engineered quantum states by Hong-Ou-Mandel interference
- Quantum-Enhanced Sensing from Hyper-Entanglement
- Second harmonic generation from metallic arrays of rectangular holes
- Full-mode Characterisation of Correlated Photon Pairs Generated in Spontaneous Downconversion
- Experimental Study of the Generalized Jarzysnki's Fluctuation Relation Using Entangled Photons
- Generalized description of the spatio-temporal biphoton State in spontaneous parametric down-conversion
- Propagation-induced entanglement revival
- High-dimensional quantum key distribution using a multi-plane light converter
- Spatial squeezing in bright twin beams generated with four-wave mixing: constraints on characterization with an EMCCD camera
- Quantum-optical Description of Phase Conjugation of Vector Vortex Beams in Stimulated Parametric Down Conversion
- High-speed imaging of spatiotemporal correlations in Hong-Ou-Mandel interference
- Topological phase structure of entangled qudits
- Klyshko's Advanced-Wave Picture in Stimulated Parametric Down-Conversion with a Spatially Structured Pump Beam
- Measurement of two-photon position-momentum EPR correlations through single-photon intensity measurements
- Angular Schmidt spectrum of entangled photons: derivation of an exact formula and experimental characterization for non-collinear phase matching
- Fractional topological phase on spatially encoded photonic qudits
- Ancilla-assisted measurement of photonic spatial correlations and entanglement
- Experimental observation of fractional topological phases with photonic qudits
- Comparison of coherence area measurement techniques for bright entangled twin beams
- Photon pair generation from lithium niobate metasurface with tunable spatial entanglement
- Characterising and Tailoring Spatial Correlations in Multi-Mode Parametric Downconversion
- Type I parametric down conversion of highly focused Gaussian beams in finite length crystals
- Characterization of a spatial light modulator as a polarization quantum channel
- Transfer of angular spectrum in parametric down-conversion with structured light
- Testing for entanglement with periodic coarse-graining
- Quantum control in foundational experiments
- High-precision Quantum Transmitometry of DNA and Methylene-Blue using a Frequency-Entangled Twin-Photon Beam in Type-I SPDC
- Biphoton State Reconstruction via Phase Retrieval Methods
- Family of CV states of definite parity and their metrological power
- Conservation of angular momentum on a single-photon level
- Certifying position-momentum entanglement at telecommunication wavelengths
- Characterizing Biphoton Spatial Wave Function Dynamics with Quantum Wavefront Sensing
- Stokes-anti-Stokes correlated photon properties akin to photonic Cooper pairs
- Free-Space Entangled Quantum Carpets
- Quantum imaging of a polarisation sensitive phase pattern with hyper-entangled photons
- Spectral Properties of Transverse Laguerre-Gauss Modes in Parametric Down-Conversion
- Shaping entangled photons through thick scattering media using an advanced wave beacon
- Multifold enhancement of quantum SNR by using an EMCCD as a photon number resolving device
- Robust interferometric sensing using two-photon interference
- Thermodynamics of relativistic quantum fields confined in cavities
- Quantum imaging with undetected photons as ancilla-assisted process tomography
- Shaping Single Photons through Multimode Optical Fibers using Mechanical Perturbations
- Postselection-free controlled generation of a high-dimensional orbital-angular-momentum entangled state
- Synthetic Quantum Holography with Undetected Light
- Phase conjugation and mode conversion in stimulated parametric down-conversion with orbital angular momentum: a geometrical interpretation
- Coherent Backscattering of Entangled Photon Pairs
- Quantifying the non-Gaussianity of the state of spatially correlated down-converted photons
- Maximizing the Validity of the Gaussian Approximation for the biphoton State from Parametric Downconversion
- Unified framework to determine Gaussian states in continuous variable systems
- Spatial and spectral characterization of photon pairs at telecommunication-wavelength from type-0 spontaneous parametric down-conversion
- Tutorial: How to build and control an all-fiber wavefront modulator using mechanical perturbations
- Parametric down-conversion beyond the semi-classical approximation
- On the geometry of spatial biphoton correlation in spontaneous parametric down-conversion
- Position-correlated biphoton wavefront sensing for quantum adaptive imaging
- Sensing with Quantum Light: A perspective
- Spatiotemproal effects on squeezing measurements
- On demand generation of propagation invariant photons with orbital angular momentum
- Thermal biphotons
- Imaging of Spatial Correlations of Two-Photon States
- Low-Light Shadow Imaging using Quantum-Noise Detection with a Camera
- Quantized Nonlinear Gaussian-Beam Dynamics Tailoring Multimode Squeezed-Light Generation
- Non-Gaussian state generation certified using the EPR-steering inequality
- Measuring different types of transverse momentum correlations in the biphoton's Fourier plane
- Pump-shaping of non-collinear and non-degenerate entangled photons
- Decomposing spatial mode superpositions with a triangular optical cavity
- Implementation of space-division multiplexed entanglement-based quantum cryptography over multicore fiber
- Pinhole quantum ghost imaging
- Theory of the monochromatic advanced-wave picture and applications in biphoton optics
- High-dimensional maximally entangled photon pairs in parametric down-conversion
- Proposal for Automated Operations for Single-Photon Multipath Qudits
- Stabilizable Gaussian states
- Orbital Angular Momentum embedded Einstein Podolsky Rosen Entanglement Generated from Cold Atoms
- Mode analysis of higher-order transverse-mode correlation beams in turbulent atmosphere
- Non-classicality of bright GHZ-like radiation of an optical parametric source
- Reconstructing the multiphoton spatial wave function with coincidence wavefront sensing
- A Nonlocal Wave-Particle Duality
- Propagation-invariant high-dimensional orbital angular momentum states
- Nonlocal transfer of high-dimensional unitary operations
- Polarization-entangled photon pair source using beam displacers and thin crystals
- Spatial and temporal characteristics of spontaneous parametric down-conversion with varying focal planes of interacting beams
- Exact solutions for vector phase matching conditions in nonlinear uniaxial crystals
- Anisotropic Spatial Entanglement
- Engineering of Hong-Ou-Mandel interference with effective noise
- Structured position-momentum entangled two-photon fields
- Experimental investigation of Popper's proposed ghost-diffraction experiment
- Polarimetric measurements of single-photon geometric phases
- Quantum gate description for induced coherence without induced emission and related phenomena
- Quantum Technology for Military Applications
- Tracking phase entanglement during propagation of downconverted photons
- Resolution of Quantum Imaging with Undetected Photons
- Quantum imaging exploiting twisted photon pairs
- Photonic entanglement with accelerated light
- Super-critical phasematching for photon pair generation in structured light modes
- Three-Slit Ghost Interference and Nonlocal Duality
- Biphoton phase-space correlations from Gouy-phase measurements using double slits
- Engineering of maximally entangled orbital angular momentum states via path identity
- Full time-dependent counting statistics of highly entangled biphoton states
- Time evolution of interacting bosons through squeezing Hamiltonians
- Negative Wigner function by decaying interaction from equilibrium
- Extended Source of Indistinguishable Polarization-entangled Photons over Wide Angles of Emission
- Cauchy-Schwarz characterization of tripartite quantum correlations in an optical parametric oscillator
- Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves
- Inspecting the use of SLMs for the control of photonic quantum states
- Two-particle superposition effects in two-slit interference
- Nonlinear-linear duality for multipath quantum interference
- Quantum Phase Imaging using Spatial Entanglement
- Spatial correlations in four-wave mixing with structured light
- Spectrally Resolved Higher Order Photon Statistics of Spontaneous Parametric Down Conversion
- Characterizing the Generalized Einstein-Podolsky-Rosen State and Extensions
- Angular spectrum influence and entanglement characterization of Gaussian-path encoded photonic qudits
- Direct transfer of classical non-separable state into hybrid entangled two photon state
- Building and aligning a 10-plane light converter
- Quantum interference between distant creation processes
- Tunable entanglement distillation of spatially correlated down-converted photons
- Localized to delocalized spatial quantum correlation evolution in structured bright twin beams
- Compact non-degenerate entangled-photon source and near-infrared-to-telecom quantum teleportation
- Characterizing High-Dimensional Optical Systems with Applications in Compressive Sensing and Quantum Data Locking
- Measuring the tuning curve of spontaneous parameter down-conversion using a comet-tail-like pattern
- "Quantum" key distribution using weak classical light waves
- Pump-tailored Alternative Bell State Generation in the First-Order Hermite-Gaussian basis
- Phase-Subtractive Interference and Noise-Resistant Quantum Imaging with Two Undetected Photons
- Stimulated parametric down-conversion for spatiotemporal metrology
- Towards establishing a connection between two-level quantum systems and physical spaces
- Bright correlated twin-beam generation and radiation shaping in high-gain parametric down-conversion with anisotropy
- Entangled ripples and twists of light: Radial and azimuthal Laguerre-Gaussian mode entanglement
- Entanglement certification in bulk nonlinear crystals for degenerate and non-degenerate SPDC: spectral filter effects on transverse spatial correlations