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Entropy 2018, 20(4), 284; https://doi.org/10.3390/e20040284

Dimensional Lifting through the Generalized Gram–Schmidt Process

1
Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10/104, A-1040 Vienna, Austria
2
Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstraße 8-10/136, A-1040 Vienna, Austria
3
Department of Computer Science, University of Auckland, Auckland 1142, New Zealand
*
Author to whom correspondence should be addressed.
Received: 26 March 2018 / Revised: 10 April 2018 / Accepted: 10 April 2018 / Published: 14 April 2018
(This article belongs to the Special Issue Quantum Probability and Randomness)
View Full-Text   |   Download PDF [229 KB, uploaded 14 April 2018]

Abstract

A new way of orthogonalizing ensembles of vectors by “lifting” them to higher dimensions is introduced. This method can potentially be utilized for solving quantum decision and computing problems. View Full-Text
Keywords: orthogonality; quantum computation; Gram–Schmidt process orthogonality; quantum computation; Gram–Schmidt process
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Havlicek, H.; Svozil, K. Dimensional Lifting through the Generalized Gram–Schmidt Process. Entropy 2018, 20, 284.

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