Fermionic quantum orthogonalizations I

Abstract

We generalize classical orthogonalization procedures from real linear algebra to the setting of fermionic quantum (FQ) operations. In the case of the Gram-Schmidt orthogonalization procedure, the generalization is easy. This, however, helps to obtain general information regarding FQ operations, and to generalize the symmetric orthogonalization procedure.

arXiv comment28 pages

Cited by in corpus (2)

• Fermionic quantum operations: a computational framework I. Basic invariance properties
• Fermionic quantum operations: a computational framework II. Examples, monoaxiality, scalings