Fidelity and purity of quantum electrical circuit states and quantum tomograms
Olga V. Man'ko
TL;DR
This paper reviews the probability and symplectic tomography approaches in quantum mechanics, analyzing Gaussian states in nanoelectric circuits and Josephson junctions, focusing on entropy, fidelity, and purity in quantum state representations.
Contribution
It introduces the application of quantum tomograms to analyze fidelity and purity of quantum states in nanoelectric circuits and Josephson junctions, providing new insights into quantum state characterization.
Findings
Quantum tomograms effectively represent quantum states.
Fidelity and purity can be quantified in the tomographic framework.
Gaussian states in nanoelectric circuits exhibit specific entropy and purity characteristics.
Abstract
Review of the probability representation of quantum mechanics and the symplectic tomography approach are presented. The examples of Gaussian states of nanoelectric circuit, Josephson junction, and two interacting high-quality resonant circuits are considered. The Shannon entropy, quantum information, fidelity, and purity of quantum states in the tomographic representation of quantum mechanics are studied.
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