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Review of the probability representation of quantum mechanics and thesymplectic tomography approach are presented. The examples of Gaussian statesof nanoelectric circuit, Josephson junction, and two interacting high-qualityresonant circuits are considered. The Shannon entropy, quantum information,fidelity, and purity of quantum states in the tomographic representation ofquantum mechanics are studied.

Fidelity and purity of quantum electrical circuit states and quantum tomograms