Universal spectra of noisy parameterized quantum circuits

Autor:	Wold, Kristian, Ribeiro, Pedro, Denisov, Sergey
Rok vydání:	2024
Předmět:	Quantum Physics Condensed Matter - Other Condensed Matter
Druh dokumentu:	Working Paper
Popis:	Random unitaries are an important resource for quantum information processing. While their universal properties have been thoroughly analyzed, it is not known what happens to these properties when the unitaries are sampled on the present-day noisy intermediate-scale quantum (NISQ) computers. We implement parameterized circuits, which have been proposed as a means to generate random unitaries, on a transmon platform and model these implementations as quantum maps. To retrieve the maps, a machine-learning assisted tomography is used. We find the spectrum of a map to be either an annulus or a disk depending on the circuit depth and detect an annulus-disk transition. By their spectral properties, the retrieved maps appear to be very similar to a recently introduced ensemble of random maps, for which spectral densities can be analytically evaluated. Comment: 4 figures plus SM
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.11625 Zobrazit plný text záznamu View this record from Arxiv