TY - JOUR
T1 - System Identification for Passive Linear Quantum Systems
AU - Guta, Madalin
AU - Yamamoto, Naoki
N1 - Funding Information:
This work was supported by the EPSRC grant EP/J009776/1 and by JSPS Grant-in-Aid 24760341. Recommended by Associate Editor C. Altafini.
Publisher Copyright:
© 2015 IEEE.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic questions: 1) which parameters can be identified? 2) Given sufficient input-output data, how do we reconstruct the system parameters? 3) How can we optimize the estimation precision by preparing appropriate input states and performing measurements on the output? We show that minimal systems can be identified up to a unitary transformation on the modes, and systems satisfying a Hamiltonian connectivity condition called 'infecting' are completely identifiable. We propose a frequency domain design based on a Fisher information criterion, for optimizing the estimation precision for coherent input state. As a consequence of the unitarity of the transfer function, we show that the Heisenberg limit with respect to the input energy can be achieved using non-classical input states.
AB - System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic questions: 1) which parameters can be identified? 2) Given sufficient input-output data, how do we reconstruct the system parameters? 3) How can we optimize the estimation precision by preparing appropriate input states and performing measurements on the output? We show that minimal systems can be identified up to a unitary transformation on the modes, and systems satisfying a Hamiltonian connectivity condition called 'infecting' are completely identifiable. We propose a frequency domain design based on a Fisher information criterion, for optimizing the estimation precision for coherent input state. As a consequence of the unitarity of the transfer function, we show that the Heisenberg limit with respect to the input energy can be achieved using non-classical input states.
KW - Estimation
KW - linear systems
KW - quantum information and control
KW - stochastic systems
KW - system identification
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U2 - 10.1109/TAC.2015.2448491
DO - 10.1109/TAC.2015.2448491
M3 - Article
AN - SCOPUS:84963812159
VL - 61
SP - 921
EP - 936
JO - IRE Transactions on Automatic Control
JF - IRE Transactions on Automatic Control
SN - 0018-9286
IS - 4
M1 - 7130587
ER -