Dealing with entanglement of continuous variables: Schmidt decomposition with discrete sets of orthogonal functions

Lucas Lamata, Juan León · Journal of Optics B Quantum and Semiclassical Optics · 2005

We propose a method for obtaining the Schmidt decomposition of bipartite systems with continuous variables. It approximates the modes to the prescribed accuracy by well known orthogonal functions. We give some criteria for the control of errors. We illustrate the method, comparing its results with the already published analysis for entanglement of biphotons. The agreement is excellent.

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