A categorical order theory of pulse scheduling in gate-based quantum computing
Typ
Examensarbete för masterexamen
Master's Thesis
Master's Thesis
Program
Engineering mathematics and computational science (MPENM), MSc
Publicerad
2023
Författare
Andersson, Axel
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
We define a preorder on a vector space of complex valued integrable functions on
the non-negative real numbers. This preorder is then used to develop a scheduling
theory for microwave pulse schedules with an application for quantum computer
experiments on superconducting circuits. The scheduling theory is further developed
in a categorical framework using a subcategory of Ord, the category of preordered
sets and order-preserving mappings between them.
The developed theory is then applied to create a Python library which translates IBM
OpenPulse schedules to Quantify schedules. Further, this library was then used to
conduct single qubit characterisation experiments. Performed experiments include:
resonator spectroscopy, two-tone spectroscopy, Rabi oscillation, relaxation time (T1)
and qubit state discrimination experiments.