Adaptive quantum homodyne tomography

1998/12/14 by Giacomo Mauro D’Ariano, Giacomo M. D'Ariano, Matteo G. A. Paris · 2 citations
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.60.518

published as Phys.Rev. A60 (1999) 518 · Latex (RevTex class + psfig), 9 Figs, Submitted to PRA

arxiv created 1998/12/14 · openalex publication_date 1999/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An adaptive optimization technique to improve the precision of quantum homodyne tomography is presented. The method is based on the existence of so-called null functions, which have a zero average for an arbitrary state of radiation. The addition of null functions to the tomographic kernels does not affect their mean values, but changes statistical errors, which can then be reduced by an optimization method that ``adapts'' kernels to homodyne data. Applications to tomography of the density matrix and other relevant field observables are studied in detail.

Citations

• Direct Probing of Quantum Phase Space by Photon Counting
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

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