Title : 
On the physical realizability of a class of nonlinear quantum systems
         
        
            Author : 
Maalouf, Aline I. ; Petersen, Ian R.
         
        
            Author_Institution : 
Sch. of Eng. & Inf. Technol., Univ. of New South Wales, Canberra, ACT, Australia
         
        
        
        
        
        
            Abstract : 
In this paper, the physical realizability property is investigated for a class of nonlinear quantum systems. This property determines whether a given set of nonlinear quantum stochastic differential equations corresponds to a physical nonlinear quantum system satisfying the laws of quantum mechanics.
         
        
            Keywords : 
nonlinear differential equations; nonlinear systems; quantum theory; stochastic processes; nonlinear quantum stochastic differential equation; physical nonlinear quantum system; physical realizability; quantum mechanics; Differential equations; Harmonic analysis; Noise; Nonlinear optics; Oscillators; Quantum mechanics; Stochastic processes;
         
        
        
        
            Conference_Titel : 
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
         
        
            Conference_Location : 
Maui, HI
         
        
        
            Print_ISBN : 
978-1-4673-2065-8
         
        
            Electronic_ISBN : 
0743-1546
         
        
        
            DOI : 
10.1109/CDC.2012.6426168