Optical homodyne tomography with polynomial series expansion

Details Optical homodyne tomography with polynomial series expansion Optical homodyne tomography with polynomial series expansion

2011-07-04

arxiv.org/abs/1107.0526v3

Phys. Rev. A 84, 032104 (2011)

Physics

Quantum Physics

v3: 3 typos were corrected in some mathematical expressions. v2: Many typos corrected. Added a paragraph on distance to target

Scientific paper

10.1103/PhysRevA.84.032104

We present and demonstrate a method for optical homodyne tomography based on the inverse Radon transform. Different from the usual filtered back-projection algorithm, this method uses an appropriate polynomial series to expand the Wigner function and the marginal distribution and discretize Fourier space. We show that this technique solves most technical difficulties encountered with kernel deconvolution based methods and reconstructs overall better and smoother Wigner functions. We also give estimators of the reconstruction errors for both methods and show improvement in noise handling properties and resilience to statistical errors.

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