Quantifying entanglement of parametric down-converted states in all
degrees of freedom
- URL: http://arxiv.org/abs/2004.06412v1
- Date: Tue, 14 Apr 2020 10:51:28 GMT
- Title: Quantifying entanglement of parametric down-converted states in all
degrees of freedom
- Abstract summary: We quantify the amount of entanglement by the Schmidt number of the state, represented as a pure bipartite state.
A quantitative example with reasonably achievable experimental conditions is considered to demonstrate that extremely large Schmidt numbers are achievable.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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