Statistical estimation of the quality of quantum-tomography protocols

2011/06/30 by Yu. I. Bogdanov, G. Brida, I. D. Bukeev +10 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Computer science #Mathematics #Optics #Physics #Polarization (electrochemistry) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Quantum tomography #Qubit #Statistical physics #Theoretical computer science #Tomography #quant-ph

paper · pdf · doi:10.1103/physreva.84.042108

published as Phys. Rev. A 84, 042108 (2011) · 20 pages, 20 figures

openalex publication_date 2011/10/10 · arxiv created 2011/11/07 · arxiv updated 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a complete methodology for testing the performances of quantum tomography protocols. The theory is validated by several numerical examples and by the comparison with experimental results achieved with various protocols for whole families of polarization states of qubits and ququarts including pure, mixed, entangled, and separable.

Citations

• Quantum Information, Computation and Cryptography
• Quantum state estimation
• A generalized inverse for matrices
• Maximum-likelihood estimation of photon-number distribution from homodyne statistics
• Manipulating Biphotonic Qutrits
• Tomographic reconstruction of the single-photon Fock state by high-frequency homodyne detection
• Statistical reconstruction of qutrits
• Quantum tomography as normalization of incompatible observations
• Experimental polarization state tomography using optimal polarimeters
• Quantum process tomography with coherent states
• Diluted maximum-likelihood algorithm for quantum tomography

Cited by

• Optimal estimation of entanglement and discord in two-qubit states
• Controllable generation of mixed two-photon states
• Self-calibrating quantum state tomography