The Quantum Way to Diagonalize Hermitean Matrices

Stefan Weigert

doi:10.1002/prop.200310035

The Quantum Way to Diagonalize Hermitean Matrices

Stefan Weigert

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

An entirely quantum mechanical approach to diagonalize hermitean matrices has been presented recently. The method is based on the measurement of quantum mechanical observables which provides the computational resource. In brief, quantum mechanics is able to directly address and output eigenvalues of hermitean matrices. Here, the example of (2×2) matrices is considered in detail. This simple case allows one to illustrate the conceptual features of the general method which is applicable to (N×N) hermitean matrices.

Original language	English
Pages (from-to)	249-54
Number of pages	6
Journal	Fortschritte der Physik
Volume	51
Issue number	2-3
DOIs	https://doi.org/10.1002/prop.200310035
Publication status	Published - Mar 2003

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10.1002/prop.200310035

Cite this

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