On a Generalization of Tellegen's Theorem to Quantum Circuits

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 Shrödinger'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.

Original languageBritish English
Title of host publicationIEEE International Symposium on Circuits and Systems, ISCAS 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1788-1792
Number of pages5
ISBN (Electronic)9781665484855
DOIs
StatePublished - 2022
Event2022 IEEE International Symposium on Circuits and Systems, ISCAS 2022 - Austin, United States
Duration: 27 May 20221 Jun 2022

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume2022-May
ISSN (Print)0271-4310

Conference

Conference2022 IEEE International Symposium on Circuits and Systems, ISCAS 2022
Country/TerritoryUnited States
CityAustin
Period27/05/221/06/22

Keywords

  • Circuit theory
  • Quantum computing
  • Shrödinger's equation
  • Tellegen's theorem

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