2010/11/23 by Dėnes Petz, Petz, Denes, László Ruppert +1 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1011.5210
openalex publication_date 2010/11/23 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In this study the determinant of the average quadratic error matrix is used\nas the measure of state estimation efficiency. This quantity is easily\ncomputable in some cases, so it gives us a reasonable tool to find optimal\nmeasurement setup for different quantum tomography problems. We present\nnumerous applications for a single qubit when von Neumann measurements or a\nsingle POVM is used and a part of the parameters of the state is given. Under\nsome restriction the optimality is found for n-level system as well. The\noptimal measurements have some complementary relation to each other or to the\nknown datas, moreover, symmetric informationally complete systems appear, the\nconditional version seems to be new.\n