TY - JOUR
T1 - The Stratonovich formulation of quantum feedback network rules
AU - Gough, John
N1 - This is the author accepted manuscript. The final version is available from AIP Publishing via http://dx.doi.org/10.1063/1.4972217
PY - 2016/12/19
Y1 - 2016/12/19
N2 - We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Ito or SLH (J. E. Gough and M. R. James, “Quantum feedback networks: Hamiltonian formulation,” Commun. Math. Phys. 287, 1109 (2009), J. E. Gough and M. R. James, “The Series product and its application to quantum feedforward and feedback networks,” IEEE Trans. Autom. Control 54, 2530 (2009)) form. Remarkably the feedback reduction rule implies that we obtain the Schur complement of the matrix of Stratonovich coupling operators where we short out the internal input/output coefficients
AB - We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Ito or SLH (J. E. Gough and M. R. James, “Quantum feedback networks: Hamiltonian formulation,” Commun. Math. Phys. 287, 1109 (2009), J. E. Gough and M. R. James, “The Series product and its application to quantum feedforward and feedback networks,” IEEE Trans. Autom. Control 54, 2530 (2009)) form. Remarkably the feedback reduction rule implies that we obtain the Schur complement of the matrix of Stratonovich coupling operators where we short out the internal input/output coefficients
UR - http://hdl.handle.net/2160/44444
U2 - 10.1063/1.4972217
DO - 10.1063/1.4972217
M3 - Article
SN - 0022-2488
VL - 57
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 12
M1 - 123505
ER -