BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pol Forn-Diaz (IFAE - Barcelona Supercomputing Center) DTSTART:20201218T151500Z DTEND:20201218T163000Z DTSTAMP:20260423T005841Z UID:XmasIFT/8 DESCRIPTION:Title: A superconducting Qbit as a universal approximant\nby Pol Forn-Diaz (I FAE - Barcelona Supercomputing Center) as part of XXVI IFT Christmas Works hop\n\n\nAbstract\nA single qubit can approximate any bounded complex func tion as stored in the degrees of freedom defining the quantum state. This result is analogue to two known theorems ensuring approximations for funct ions\, namely Fourier series and the Universal Approximation Theorem (UAT) \, that holds for neural networks with a large enough single\, intermediat e hidden layer. The single qubit circuit becomes more accurate as the inde pendent function variable is re-uploaded in an increasing number of gates\ , analogous to the classical methods that grow in accuracy with an increas ed number of intermediate steps. We further implement a one-qubit approxim ant in a real superconducting qubit device consisting of a transmon qubit in a three-dimensional cavity\, explicitly showing how the ability to desc ribe a set of functions improves with the depth of the quantum circuit.\n LOCATION:https://researchseminars.org/talk/XmasIFT/8/ END:VEVENT END:VCALENDAR