2009/10/30 by C. Paiva-Sánchez, E. Burgos-Inostroza, O. Jiménez +1
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Equidistant #Fourier transform #Geology #Geometry #Inversion (geology) #Mathematical analysis #Mathematics #Optics #POVM #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Quantum process #Quantum state #Quantum tomography #Tomography #quant-ph
paper · pdf · doi:10.1103/physreva.82.032115
arxiv created 2009/10/30 · openalex publication_date 2010/09/20 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the possibility of performing quantum state tomography via equidistant states. This class of states allows us to propose a nonsymmetric informationally complete Positive Operator Valued Measure (POVM) based tomographic scheme. The scheme is defined for odd dimensions N and involves the measurement of N2 transition probabilities and an inversion, which can be analytically carried out by Fourier transform. The scheme can be modified to allow the reconstruction of states in the case of even dimensions at the expense of increasing the number of measurements to 3N2/2.