272 citations · 1.4k across the 60 of their papers we have counts for
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A Parametrization of Bipartite Systems Based on SU(4) Euler Angles
Todd Tilma, Mark S. Byrd, E. C. G. Sudarshan
In this paper we give an explicit parametrization for all two qubit density matrices. This is important for calculations involving entanglement and many other types of quantum info…
Clifford Periodicity from Finite Groups
Luis J. Boya, Mark S. Byrd
We deduce the periodicity 8 for the type of and representations of the orthogonal groups from simple combinatorial properties of the finite Clifford groups gene…
Differential Geometry on SU(3) with Applications to Three State Systems
Mark Byrd
The left and right invariant vector fields are calculated in an ``Euler angle'' type parameterization for the group manifold of SU(3), referred to here as Euler coordinates. The co…
SU(3) Revisited
Mark S. Byrd, E. C. G. Sudarshan
The ``'' matrices for all states of the two fundamental representations and octet are shown in the generalized Euler angle parameterization. The raising and lowering operators a…
The Geometry of SU(3)
Mark Byrd
The group SU(3) is parameterized in terms of generalized ``Euler angles''. The differential operators of SU(3) corresponding to the Lie Algebra elements are obtained, the invariant…