scholarly journals Linear quantum feedback networks

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
J. E. Gough ◽  
R. Gohm ◽  
M. Yanagisawa
2010 ◽  
Vol 81 (2) ◽  
Author(s):  
J. E. Gough ◽  
M. R. James ◽  
H. I. Nurdin

2015 ◽  
Vol 22 (02) ◽  
pp. 1550009 ◽  
Author(s):  
John Gough

The aim of this paper is to derive the global Hamiltonian form for a quantum system and bath, or more generally a quantum network with multiple quantum input field connections, based on the local descriptions. We give a new simple argument which shows that the global Hamiltonian for a single Markov component arises as the singular perturbation of the free translation operator. We show that the Fermi analogue takes an equivalent form provided the parity of the coefficients is correctly specified. This allows us to immediately extend the theory of quantum feedback networks to Fermi systems.


2007 ◽  
Author(s):  
John Gough ◽  
Matthew R. James

Author(s):  
Hendra I. Nurdin ◽  
John E. Gough

Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.


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