4 papers
Bang-Bang Operations from a Geometric Perspective
Mark S. Byrd, Daniel A. Lidar
Strong, fast pulses, called ``bang-bang'' controls can be used to eliminate the effects of system-environment interactions. This method for preventing errors in quantum information…
Geometric Phases for Three State Systems
Mark S. Byrd
The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelia…
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…
Density Matrices and Geometric Phases for n-state Systems
Luis J. Boya, Mark Byrd, Mark Mims +1
An explicit parameterization is given for the density matrices for -state systems. The geometry of the space of pure and mixed states and the entropy of the -state system is…