TY - GEN

T1 - Systems identification for passive linear quantum systems

T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

AU - Guta, Madalin

AU - Yamamoto, Naoki

PY - 2013

Y1 - 2013

N2 - System identification is a key enabling component for the implementation of new quantum technologies, including quantum control. In this paper we consider a large class of input-output systems, namely linear passive quantum systems, and study the following identifiability question: if the system's Hamiltonian and coupling matrices are unknown, which of these dynamical parameters can be estimated by preparing appropriate input states and performing measurements on the output? The input-output mapping is explicitly given by the transfer function, which contains the maximum information about the system.We show that two minimal systems are indistinguishable (have the same transfer function) if and only if their Hamiltonians and the coupling to the input fields are related by a unitary transformation. Furthermore, we provide a canonical parametrization of the equivalence classes of indistinguishable systems. For models depending on (possibly lower dimensional) unknown parameters, we give a practical identifiability condition which is illustrated on several examples. In particular, we show that systems satisfying a certain Hamiltonian connectivity condition called "infecting", are completely identifiable.

AB - System identification is a key enabling component for the implementation of new quantum technologies, including quantum control. In this paper we consider a large class of input-output systems, namely linear passive quantum systems, and study the following identifiability question: if the system's Hamiltonian and coupling matrices are unknown, which of these dynamical parameters can be estimated by preparing appropriate input states and performing measurements on the output? The input-output mapping is explicitly given by the transfer function, which contains the maximum information about the system.We show that two minimal systems are indistinguishable (have the same transfer function) if and only if their Hamiltonians and the coupling to the input fields are related by a unitary transformation. Furthermore, we provide a canonical parametrization of the equivalence classes of indistinguishable systems. For models depending on (possibly lower dimensional) unknown parameters, we give a practical identifiability condition which is illustrated on several examples. In particular, we show that systems satisfying a certain Hamiltonian connectivity condition called "infecting", are completely identifiable.

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U2 - 10.1109/CDC.2013.6760164

DO - 10.1109/CDC.2013.6760164

M3 - Conference contribution

AN - SCOPUS:84902329776

SN - 9781467357173

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1930

EP - 1937

BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 10 December 2013 through 13 December 2013

ER -