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The quantum way to diagonalize hermitean matrices

โœ Scribed by S. Weigert

Book ID
105357268
Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
108 KB
Volume
51
Category
Article
ISSN
0015-8208

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โœฆ Synopsis

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 (2ร—2) matrices is considered in detail. This simple case allows one to illustrate the conceptual features of the general method which is applicable to (Nร—N) hermitean matrices.

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