Quantifying entanglement of parametric down-converted states in all degrees of freedom
arXiv:2004.06412 · doi:10.1103/PhysRevResearch.2.023137
Abstract
The amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a pure bipartite state by tagging the down-converted photons in terms of orthogonal states of polarization with the aid of type II phase-matching. To facilitate our calculations, we use a Wigner functional approach, which allows the incorporation of the full infinite dimensional spatiotemporal degrees of freedom. A quantitative example with reasonably achievable experimental conditions is considered to demonstrate that extremely large Schmidt numbers are achievable.
arXiv comment6 pages, 2 figures
References in corpus (18)
- The Security of Practical Quantum Key Distribution
- Security of quantum key distribution using d-level systems
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Advances in Quantum Teleportation
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Quantum Cryptography using larger alphabets
- Analysis and interpretation of high transverse entanglement in optical parametric down conversion
- 30 years of squeezed light generation
- Full characterisation of the quantum spiral bandwidth of entangled biphotons
- Schmidt modes in the angular spectrum of bright squeezed vacuum
- Polarization-Entangled Light Pulses of 10^5 Photons
- Demonstration of quantum synchronization based on second-order quantum coherence of entangled photons
- Dimensionality of the spatio-temporal entanglement of PDC photon pairs
- Schmidt modes generated in parametric downconversion
- Clock Synchronization based on Second-Order Quantum Coherence of Entangled Photons
- Combining spatio-temporal and particle-number degrees of freedom
- Schmidt-number benchmarks for continuous-variable quantum devices
- Evolution equation for multi-photon states in turbulence
Cited by in corpus (6)
- Spectral Properties of Transverse Laguerre-Gauss Modes in Parametric Down-Conversion
- Parametric down-conversion beyond the semi-classical approximation
- Spatiotemproal effects on squeezing measurements
- Toolbox for non-classical state calculations
- Nonlinear interferometry in all spatiotemporal degrees of freedom
- Stimulated parametric down-conversion for spatiotemporal metrology