An Intuitive Perspective on Cartan Decompositions of Special Unitary
Tuesday, June 28th, 2005Date: June 24, 2005
Time : 12 Midday
Who: Mile Gu
Seminar type: Research seminar
Abstract:
Given an arbitrary quantum algorithm described by a special unitary operator U, it would be impractical and very unlikely we are able to directly synthesise U by application of some constant Hamiltonian H such that U = exp(-iH) exactly. Thus, it is of most practical interest to ask how we may decompose U into products of operators that are easier to synthesis. In this seminar, I will describe to approach of Cartan Decompositions [1], a powerful mathematical tool for solving this problem.
The seminar is designed to approach this method from an intuitive and pedagogical perspective, where emphasis will be placed on lines of reasons rather than abstract mathematics. It should hopefully be accessible those who have no knowledge in Lie Algebra’s.
Suggested reading:
- [1] N. Khaneja, S. Glaser, quant-ph/0010100