General nonequilibrium statistical ensemble formalism and its application to quantum computing

A nonequilibrium ensemble method based on the Bolztmann equation is extended to provide a general formalism starting from a general Liouville equation. A scheme for calculating the nonequilibrium projected density operator for an open quantum system, based on a subdynamic kinetic equation is presented and the relationship between the eigenvalues and nonequilibrium projected density operator or nonequilibrium entropy, is also established. This relationship is used to discuss the stabilization of an N qubit quantum computing system and the medication of decoherence in such a system.