Applications of the generalized Lüders theorem
Hong-Ke Du, Yueqing Wang, Jun-Lian Xu · Journal of Mathematical Physics · 2008
In this paper, we prove that the main results in a more recent paper [S. Gudder, “Duality quantum computers and quantum operations,” Int. J. Theor. Phys. (in press)] also hold on a separable complex Hilbert space. The proofs in the present paper have been completed by using the block operator technique which are different from that in Gudder’s paper on the unitary freedom theorem of the finite dimensional setting.