6 papers · 1 filter
GroupFunctions.jl: computing individual entries of the irreducible representations of the unitary group U(d)
David Amaro-Alcalá, Konrad SzymaÅski
GroupFunctions.jl is a Julia library for computing individual matrix elements of irreducible representations of U(d). These matrix elements, called group functions, can be evaluate…
Integrable, Mixed, and Chaotic Dynamics in a Single All-to-All Ising Spin Model
David Amaro-Alcalá, Carlos Pineda
We demonstrate that the Ising all-to-all (ATA) model exhibits a range of dynamics, from integrable to chaotic, including mixed behaviour across symmetry blocks within a single syst…
Kostant relation in filtered randomized benchmarking for passive bosonic devices
David Amaro-Alcalá
We aim to reduce the cost of the current bosonic randomized benchmarking proposal. To do this, we introduce two filter functions: one uses immanants, the other uses characters of t…
Characterisation of individual gates using twirling circuits
David Amaro-Alcalá
We present a method to characterise qubit gates. Utilising the supermap formalism, we create a scheme for deterministic single-qubit gate analysis. Our approach introduces a new tw…
Qudit non-Clifford interleaved benchmarking
David Amaro-Alcalá, Barry C. Sanders, Hubert de Guise
We introduce a scheme to characterise a qudit T gate that has different noise than a set of Clifford gates. We developed our scheme through representation theory and ring theory to…
Randomised benchmarking for universal qudit gates
David Amaro-Alcalá, Barry C. Sanders, Hubert de Guise
We aim to establish a scalable scheme for characterising diagonal non-Clifford gates for single- and multi-qudit systems; \(d\) is a prime-power integer. By employing cyclic operat…