Time Optimal Qubit Computer
Abstract
We present a number of new physical systems that may be addressed using methods of time dependent transformation. A recap of results available for two-state systems is given, with particular emphasis on the AC stark effect. We give some results that are not well known, including the full solution for a two state system in a static electric field with arbitrary direction. Connection with established theorems in time optimal quantum control is given, and a full discussion outlines some advanced results in matrix calculus. In particular, we derive a set of matrix gates relevant to quantum information theory and computation using time optimal unitary operators, and define the hyperbolic equivalent of the quantum brachistochrone problem.
Cite
@article{arxiv.2306.01223,
title = {Time Optimal Qubit Computer},
author = {Peter Morrison},
journal= {arXiv preprint arXiv:2306.01223},
year = {2023}
}
Comments
11 pages