On the Exponential of Matrices in su(4)

Abstract

This note presents explicit formulae for the exponentials of a wide variety of matrices which are 4x4, anti-Hermitian. Easily verifiable conditions characterizing when such matrices admit one of three minimal polynomials are also given. Essential use of the algebra isomorphism between real 4x4 matrices and the tensor product of the quaternions with themseleves is made. Illustrations from important applications are given.

21 pages long

References in corpus (3)

• Quantum oscillations in two coupled charge qubits
• Demonstration of conditional gate operation using superconducting charge qubits
• On the Exponentials of Some Structured Matrices

Cited by in corpus (5)

• Evolutional entanglement production
• On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
• Study on Dynamics of N Level System of Atom by Laser Fields
• Multivector (MV) functions in Clifford algebras of arbitrary dimension: Defective MV case
• Algorithms for the Polar Decomposition in Certain Groups and the Quaternions