Quantum Tomography of Pure States with Projective Measurements Distorted by Experimental Noise |
| A. Czerwinski
Institute of Physics, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University, Grudziądzka 5, 87-100 Toruń, Poland |
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| The article undertakes the problem of pure state estimation from projective measurements based on photon counting. Two generic frames for qubit tomography are considered - one composed of the elements of the SIC-POVM and the other defined by the vectors from the mutually unbiased bases. Both frames are combined with the method of least squares in order to reconstruct a sample of input qubits with imperfect measurements. The accuracy of each frame is quantified by the average fidelity and purity. The efficiency of the frames is compared and discussed. The method can be generalized to higher-dimensional states and transferred to other fields where the problem of complex vectors reconstruction appears. |
DOI:10.12693/APhysPolA.139.164 topics: quantum state tomography, mutually unbiased bases, complex vector reconstruction, phase retrieval |