Advances in Position-Momentum Entanglement: A Versatile Tool for Quantum Technologies
arXiv:2505.22265 · doi:10.1002/lpor.202501358
Abstract
Position-momentum entanglement is a versatile high-dimensional resource in quantum optics. From fundamental tests of reality to applications in quantum technologies, spatial entanglement has experienced significant growth in recent years. In this review, we explore these advances, beginning with the generation of spatial entanglement, followed by various types of measurements for certifying entanglement, and concluding with different quantum-based applications. We conclude the review with a discussion and outlook of the field.
References in corpus (97)
- Experimental quantum teleportation
- Advances in Quantum Metrology
- Entanglement of Orbital Angular Momentum States of Photons
- Quantum metrology
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Ultra-bright source of polarization-entangled photons
- Compressive ghost imaging
- Two-photon "ghost" imaging with thermal light
- Ghost imaging with a single detector
- Quantum Imaging with Undetected Photons
- Experimental realization of sub-shot-noise quantum imaging
- Feasible Entanglement Purification for Quantum Communication
- Quantum Illumination with Gaussian States
- Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
- Quantum cryptography with 3-state systems
- Imaging with a small number of photons
- Analysis and interpretation of high transverse entanglement in optical parametric down conversion
- Quantum metasurface for multi-photon interference and state reconstruction
- Entanglement Certification From Theory to Experiment
- Imaging high-dimensional spatial entanglement with a camera
- Super-resolution enhancement by quantum image scanning microscopy
- An experimental investigation of criteria for continuous variable entanglement
- Quantum key distribution with higher-order alphabets using spatially-encoded qudits
- Towards real-world quantum networks: a review
- Entanglement Swapping of Generalized Cat States and Secret Sharing
- Three-photon energy-time entanglement
- Simultaneous near-field and far field spatial quantum correlations in spontaneous parametric down-conversion
- Separability Criterion for all bipartite Gaussian States
- Distillability Criterion for all Bipartite Gaussian States
- Realisation of the first sub shot noise wide field microscope
- EPR-based ghost imaging using a single-photon-sensitive camera
- High-dimensional quantum gates using full-field spatial modes of photons
- Advances in quantum imaging
- Real-Time Imaging of Quantum Entanglement
- High speed self-testing quantum random number generation without detection loophole
- Quantum-enhanced standoff detection using correlated photon pairs
- Quantum microscopy based on Hong-Ou-Mandel interference
- Unscrambling Entanglement through a Complex Medium
- Transverse Entanglement Migration in Hilbert Space
- Packet narrowing and quantum entanglement in photoionization and photodissociation
- Super-Resolution Quantum Imaging at the Heisenberg Limit
- Einstein-Podolsky-Rosen paradox in twin images
- Computational time-of-flight diffuse optical tomography
- Practical Quantum Metrology
- Quantum Indistinguishability by Path Identity: The awakening of a sleeping beauty
- Single-shot measurement of the orbital-angular-momentum spectrum of light
- Demonstration of the Complementarity of One- and Two-Photon Interference
- Superresolution via Structured Illumination Quantum Correlation Microscopy (SIQCM)
- General model of photon-pair detection with an image sensor
- Adaptive Quantum Optics with Spatially Entangled Photon Pairs
- Multidimensional quantum-enhanced target detection via spectro-temporal correlation measurements
- Quantum correlation measurement with single photon avalanche diode arrays
- Gaussian modeling and Schmidt modes of SPDS biphoton states
- Pixel super-resolution using spatially-entangled photon pairs
- Propagation of transverse intensity correlations of a two-photon state
- Characterization of Spectral Entanglement of Spontaneous Parametric-Down Conversion Biphotons
- Quantum imaging and metrology with undetected photons: a tutorial
- Spatially-entangled Photon-pairs Generation Using Partial Spatially Coherent Pump Beam
- Transverse Entanglement of Biphotons
- The influence of pump coherence on the generation of position-momentum entanglement in down-conversion
- A Family of Continuous Variable Entanglement Criteria using General Entropy Functions
- Quantifying the Momentum Correlation between Two Light Beams by Detecting One
- Quantum illumination imaging with a single-photon avalanche diode camera
- Boosting entanglement generation in down-conversion with incoherent illumination
- 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
- Quality of Spatial Entanglement Propagation
- Experimental space-division multiplexed polarization-entanglement distribution through 12 paths of a multicore fiber
- Influence of pump coherence on the quantum properties of spontaneous parametric down-conversion
- Spatially entangled Airy photons
- Quantifying high-dimensional spatial entanglement with a single-photon-sensitive time-stamping camera
- Characterization of space-momentum entangled photon with a time resolving CMOS SPAD array
- Subdiffraction Quantum Imaging with Undetected Photons
- Experimental analysis on image resolution of quantum imaging with undetected light through position correlations
- Precision optical displacement measurements using biphotons
- Optimizing the signal-to-noise ratio of biphoton distribution measurements
- Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements
- Energy-time and time-bin entanglement: past, present and future
- Angular Schmidt spectrum of entangled photons: derivation of an exact formula and experimental characterization for non-collinear phase matching
- Measurement of two-photon position-momentum EPR correlations through single-photon intensity measurements
- Focusing in Arthurs-Kelly-type Joint Measurements with Correlated Probes
- Conservation of angular momentum on a single-photon level
- Shaping entangled photons through thick scattering media using an advanced wave beacon
- Synthetic Quantum Holography with Undetected Light
- Rényi formulation of entanglement criteria for continuous variables
- Spatial and spectral characterization of photon pairs at telecommunication-wavelength from type-0 spontaneous parametric down-conversion
- Optical-vortex diagnostics via Fraunhofer slit diffraction with controllable wavefront curvature
- Selective tuning of Hilbert spaces in states encoded with spatial modes of light
- Thermal biphotons
- Implementation of space-division multiplexed entanglement-based quantum cryptography over multicore fiber
- Quantum enhanced beam tracking surpassing the Heisenberg uncertainty limit
- Anisotropic Spatial Entanglement
- Polarization-entangled photon pair source using beam displacers and thin crystals
- Structured position-momentum entangled two-photon fields
- Spatial entanglement and state engineering via four-photon Hong-Ou-Mandel interference
- Characterizing the Generalized Einstein-Podolsky-Rosen State and Extensions