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 -