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Werner state tomography based on multiple noises and fiber attenuation

Haigang Wang, Kan He

Published Jun 7, 2023• 0 citations
Publisher

Abstract

Abstract In this paper, we establish a new quantum state tomography model that fits the real environment very well. In our model, the number of photons emitted by the photon source is a random number of Gaussian distribution. The emitted photons are attenuated by a fiber, resulting in a binomial distribution of photons arriving at the detector. In the process of measurement, we impose Poisson noise, which makes the number of photons measured each time assume Poisson distribution. The quantum states are reconstructed from photon counts obtained for symmetric informationally complete positive operator-valued measures, and consider the influence of noise on the measurement operators. We study the quantum tomography efficiency of any two-qubit Werner state in our model. We obtained the relationship between the tomographic efficiency and multiple variables of the model through numerical simulation. PACS numbers: 03.67.Mn, 03.65.Ud, 03.67.-a

DOI
10.21203/rs.3.rs-3020485/v1

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Abstract In this paper, we establish a new quantum state tomography model that fits the real environment very well. In our model, the number of photons emitted by the photon source is a random number of Gaussian distribution. The emitted photons are attenuated by a fiber, resulting in a binomial distribution of photons arriving at the detector. In the process of measurement, we impose Poisson noise, which makes the number of photons measured each time assume Poisson distribution. The quantum states are reconstructed from photon counts obtained for symmetric informationally complete positive operator-valued measures, and consider the influence of noise on the measurement operators. We study the quantum tomography efficiency of any two-qubit Werner state in our model. We obtained the relationship between the tomographic efficiency and multiple variables of the model through numerical simulation. PACS numbers: 03.67.Mn, 03.65.Ud, 03.67.-a
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