Singular value decomposition for skew-Takagi factorization with quantum applications

Abstract

We obtain an algorithm for the skew-Takagi factorization based on the singular value decomposition. As an example application of such an algorithm, we consider the computation of Heisenberg evolution of the fermionic creation and annihilation operators in the case of the quadratic Hamiltonian of a special form

Keywords:

• Singular value decomposition
• skew-Takagi factorization
• unitary congruence

AMS CLASSIFICATIONS:

• 15A23
• 65F30

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was funded by Russian Federation represented by the Ministry of Science and Higher Education (grant number 075-15-2020-788).