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Abstract: This paper presents a novel approach to the unitary joint diagonalisation problem. We approach the problem as an optimisation problem over the manifold of unitary matrices and obtain ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The grand aim is to develop a toolbox for many-body quantum systems that can be represented by a Hamiltonian in second quantisation language. Currently supported features include: The code supports ...

Block diagonalisation of matrices by canonical transformation is important in various fields of physics. Such diagonalization is currently of interest in condensed matter physics, for modelling of ...

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jctc.9b01125. Smart citations by scite.ai include citation statements ...

Scientists are bringing us closer to understanding the musical experience through a novel approach to analyzing a common musical effect known as vibrato. Scientists at Queen Mary University of London ...

Abstract: Recently a selection of sequential matrix diagonalisation (SMD) algorithms have been introduced which approximate polynomial eigenvalue decomposition of parahermitian matrices. These ...