14 papers
Williamson majorization theory of fermionic non-Gaussianity
Xhek Turkeshi, Piotr Sierant, Poetri Sonya Tarabunga
Pure-state entanglement rests on a single algebraic backbone: majorization of the Schmidt spectrum governs state conversion under local operations and classical communication, and…
Computable fermionic non-Gaussianity from the covariance matrix
Poetri Sonya Tarabunga, Bernhard Jobst, Raúl Morral-Yepes +4
Fermionic non-Gaussianity, or fermionic magic, is a key resource underlying the computational complexity of fermionic quantum systems, yet tractable and operationally meaningful wa…
Unitary Designs from Doped Matchgate Circuits
Fabian Ballar Trigueros, Zheng-Hang Sun, Xhek Turkeshi +2
Matchgate circuits realize free-fermion dynamics: they are efficiently classically simulable, yet cannot on their own generate the generic randomness required for universal computa…
Fermionic non-Gaussianity via Bell sampling: monotones and efficient quantum algorithms
Poetri Sonya Tarabunga
Fermionic non-Gaussianity is an essential resource for unlocking the full computational power of fermionic quantum platforms. In this work we develop monotones and efficient quantu…
Theory of the Matchgate Commutant
Piotr Sierant, Xhek Turkeshi, Poetri Sonya Tarabunga
In quantum information theory and statistical physics, symmetries of multiple copies, or replicas, of a system play a pivotal role. For unitary ensembles, these symmetries are enco…
Topological magic response in quantum spin chains
Ritu Nehra, Poetri Sonya Tarabunga, Martina Frau +3
Topological matter provides natural platforms for robust, non-local information storage, central to quantum error correction. Yet, while the relation between entanglement and topol…