Descriptions of quadratic plus linear operators which preserve pure states of the quantum system

Saburov, Mansoor (2013) Descriptions of quadratic plus linear operators which preserve pure states of the quantum system. In: International Conference on Quantum Optics and Quantum Information (icQoQi 2013), 3-5 Dec. 2013, Bukit Gambang Resort City, Pahang, Malaysia.

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Abstract

As we knew, a mathematical formalism of a quantum mechanics says that any quantum system is identified with some finite- or infinite-dimensional Hilbert space; pure states correspond to vectors of norm 1; observables are self-adjoint operators on the space of states. Thus the set of all pure states corresponds to the unit sphere in the Hilbert space [1-2]. It is of interest to describe all linear or nonlinear operators which preserve the pure states of the system. In the linear case, it is nothing more than isometries of Hilbert spaces [1]. In the nonlinear case, this problem was open. In this paper we shall describe all quadratic plus linear operators which preserve pure states of the quantum system.!

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	6069/33661
Uncontrolled Keywords:	quadratic plus linear
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	06 Jan 2014 11:48
Last Modified:	06 Jan 2014 11:48
URI:	http://irep.iium.edu.my/id/eprint/33661

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