Optimal Quantum Tomography of States, Measurements, and Transformations

2008/06/06 by Alessandro Bisio, A. Bisio, Giulio Chiribella +7 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Mathematical Analysis and Transform Methods #Operator (biology) #Optics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Quantum tomography #Representation (politics) #Statistical physics #Tomography #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.010404

published as Phys. Rev. Lett. 102 (2009) 010404 · 4 pages, 1 figure

arxiv created 2008/06/06 · openalex publication_date 2009/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present the first complete optimization of quantum tomography, for states, positive operator value measures, and various classes of transformations, for arbitrary prior ensemble and arbitrary representation, giving corresponding feasible experimental schemes in terms of random Bell measurements.

Citations

• Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments
• Quantum Circuit Architecture
• Experimental realization of a photonic Bell-state analyzer
• Optimal Data Processing for Quantum Measurements
• Tight informationally complete quantum measurements
• Completely positive linear maps on complex matrices
• A Class of Nonharmonic Fourier Series

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