The problem of joint approximate diagonalization of symmetric real matrices is addressed. It is reduced to an optimization problem with the restriction that the matrix of the similarity transformation ...

Abstract: This paper addresses the problem of Joint approximate diagonalization (JAD) of a set of given matrices and proposes a new efficient iterative algorithm for JAD that based on the ...

Qiskit addons are a collection of modular tools for building utility-scale workloads powered by Qiskit. This package contains the Qiskit addon for sample-based quantum diagonalization (SQD) -- a ...

It is well known that a set of non-defect matrices can be simultaneously diagonalized if and only if the matrices commute. In the case of non-commuting matrices, the best that can be achieved is ...

Abstract: Simultaneous diagonalization of a set of matrices is a technique that has numerous applications in statistical signal processing and multivariate statistics. Although objective functions in ...