Exponentiation of certain Matrices related to the Four Level System by use of the Magic Matrix
Kazuyuki Fujii
Abstract
In this paper we show how to calculate explicitly the exponential of certain matrices, which are evolution operators governing the interaction of the four level system of atoms and the radiation, etc. We present a consistent method in terms of the magic matrix by Makhlin. As a closely related subject, we derive a closed form expression of the Baker-Campbell-Hausdorff formula for a class of matrices in SU(4), by use of the method developed by the present authors in quant-ph/0610009.
Create a lesson
Related papers
Parallel quantum channel discrimination and numerical ranges in tensor product subspaces
Adam Bílek, Paulina Lewandowska, Ryszard Kukulski
Asymptotically Good Quantum Locally Testable Codes
William Gay, Fernando Granha Jeronimo
All causally separable quantum processes are quantum circuits with classical control of causal order
Julian Wechs, Alastair A. Abbott, Cyril Branciard
Analytic leakage suppression with a single control field: fast two-qubit gates with tunable couplers
Lukas Heunisch, Michael J. Hartmann, Aashish A. Clerk
Procrastinating einselection in non-Markovian quantum dynamics
Michael J. Moody, Tara Kalsi, Agung Budiyono et al.
Quantum Entropy Contraction and Factorization from Hypercontractivity
Li Gao, Lijun Wang