Structure identification and state initialization of spin networks with limited access

Kato, Yuzuru; Yamamoto, Naoki

doi:10.1088/1367-2630/16/2/023024

Cited by 42 publications

(35 citation statements)

References 44 publications

(181 reference statements)

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“…Because of the assumption that O is of full rank, U is unitary. Therefore the conditions (17) are reduced to (16). For a parameterized model the identifiability condition is given by the following.…”

Section: The Identifiability Conditionsmentioning

confidence: 99%

“…A similar task arises in the quantum setup, and various aspects of the quantum system identification problem have been considered in the recent literature, cf. [8], [9], [10], [11], [12], [13], [14], [15], [16] for a shortlist of recent results. Further, detailed statistical analysis for some dynamical quantum identification problems have been demonstrated [17], [18], [19], [20].…”

Section: Introductionmentioning

confidence: 99%

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System Identification for Passive Linear Quantum Systems

Guţǎ

Yamamoto

2016

IEEE Trans. Automat. Contr.

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Abstract-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 inputoutput 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.Index Terms-Quantum information and control; System identification; Linear systems; Estimation; Stochastic systems I. INTRODUCTION We are currently witnessing the beginning of a quantum engineering revolution [1], marking a shift from "classical devices" which are macroscopic systems described by deterministic or stochastic equations, to "quantum devices" which exploit fundamental properties of quantum mechanics, with applications ranging from computation to secure communication and metrology [2], [3]. While control theory was developed from the need for predictability in the behavior of "classical" dynamical systems, quantum filtering and quantum feedback control theory [4], [5], [6] deal with similar questions in the mathematical framework of quantum dynamical systems.System identification is an essential component of control theory, which deals with the estimation of unknown dynamical parameters of input-output systems; in particular, the identification of linear systems is a well studied subject in classical systems theory [7]. A similar task arises in the quantum setup, and various aspects of the quantum system identification problem have been considered in the recent literature, cf.

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Section: The Identifiability Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

System Identification for Passive Linear Quantum Systems

Guţǎ

Yamamoto

2016

IEEE Trans. Automat. Contr.

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“…Our probing strategy is nondestructive, essentially encoding the system's excitations into the probe's phase, which is then accessed by a Ramsey sequence with measurements in the ñ ñ {| | } , basis. This strategy sets lower experimental requirements than more elaborate protocols aimed at determining the structure or internal couplings of spin networks [65][66][67], which ask for full state tomography.…”

Section: Discussionmentioning

confidence: 99%

Quantum probe spectroscopy for cold atomic systems

2018

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We study a two-level impurity coupled locally to a quantum gas on an optical lattice. For statedependent interactions between the impurity and the gas, we show that its evolution encodes information on the local excitation spectrum of the gas at the coupling site. Based on this, we design a nondestructive method to probe the system's excitations in a broad range of energies by measuring the state of the probe using standard atom optics methods. We illustrate our findings with numerical simulations for quantum lattice systems, including realistic dephasing noise on the quantum probe, and discuss practical limits on the probe dephasing rate to fully resolve both regular and chaotic spectra.

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“…Comparing with the reports of related experiment, we think that the above conditions can be satisfied. Compared to the existing quantum identifications [39,40,[46][47][48][49], our protocol is of following advantages: (i) What our scheme focuses on is to synchronize unknown parameter instead of solving it. So it will remain valid even though system has a complex random-like evolution.…”

Section: Discussionmentioning

confidence: 99%

Quantum parameter identification for a chaotic atom ensemble system

Song

2016

Physics Letters A

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Structure identification and state initialization of spin networks with limited access

Cited by 42 publications

References 44 publications

System Identification for Passive Linear Quantum Systems

System Identification for Passive Linear Quantum Systems

Quantum probe spectroscopy for cold atomic systems

Quantum parameter identification for a chaotic atom ensemble system

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