Self-calibrating tomography for angular Schmidt modes in spontaneous parametric down-conversion

2011/12/31 by Stanislav Straupe, S. S. Straupe, D. P. Ivanov +8
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Eigenvalues and eigenvectors #Mathematics #Optics #Orbital Angular Momentum in Optics #Parametric statistics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Quantum state #Quantum tomography #Statistics #Tomography #quant-ph

paper · pdf · doi:10.1103/physreva.87.042109

published as Phys. Rev. A 87, 042109 (2013) · 10 pages, 11 figures

arxiv created 2013/01/14 · openalex publication_date 2013/04/15 · arxiv updated 2013/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We report an experimental self-calibrating tomography scheme for entanglement characterization in high-dimensional quantum systems using Schmidt decomposition techniques. The self-tomography technique based on maximal likelihood estimation was developed for characterizing nonideal measurements in the Schmidt basis, allowing us to infer both Schmidt eigenvalues and detecting efficiencies.

Citations

• Entanglement of the orbital angular momentum states of photons
• Generation of Entangled States of Qudits using Twin Photons
• Quantum state estimation
• Maximum-likelihood absorption tomography
• Analysis and Interpretation of High Transverse Entanglement in Optical Parametric Down Conversion
• Multimode Hong-Ou-Mandel Interference
• State reconstruction by on/off measurements
• Anisotropically and High Entanglement of Biphoton States Generated in Spontaneous Parametric Down-Conversion