@inproceedings{6c3552d4712442a5bc044eb7b89bc382,
title = "On a Generalization of Tellegen's Theorem to Quantum Circuits",
abstract = "Tellegen's theorem is one of the foundational topological theorems of circuit theory. In its most elementary form, it expresses an energy balance between the power supplied at the ports of the electrical circuit network and the power consumed in its internal branches. But the topological roots of Tellegen's theorem allow it to take other forms that make it into a powerful tool for deriving several fundamental results in electrical circuit networks, linear or non-linear, reciprocal or nonreciprocal. Tellegen's theorem admits a generalization to the field case of Maxwell's equations that makes it useful in the analysis and modeling of microwave devices. In this paper, the field case of Shr{\"o}dinger's equation is examined, and a generalization of Tellegen's theorem to the case of quantum wave functions is proposed. This generalization has the potential of extending the application domain of Tellegen's theorem to the circuits used in quantum computing.",
keywords = "Circuit theory, Quantum computing, Shr{\"o}dinger's equation, Tellegen's theorem",
author = "Elfadel, {Ibrahim Abe M.}",
note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 IEEE International Symposium on Circuits and Systems, ISCAS 2022 ; Conference date: 27-05-2022 Through 01-06-2022",
year = "2022",
doi = "10.1109/ISCAS48785.2022.9937873",
language = "British English",
series = "Proceedings - IEEE International Symposium on Circuits and Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1788--1792",
booktitle = "IEEE International Symposium on Circuits and Systems, ISCAS 2022",
address = "United States",
}