Zero-dynamics principle for perfect quantum memory in linear networks

Yamamoto, Naoki; James, M. R.

doi:10.1088/1367-2630/16/7/073032

Cited by 46 publications

(61 citation statements)

References 85 publications

(204 reference statements)

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“…Such an optimal pulse depends on the system's parameters, which therefore should be identified as accurately as possible. Note that several similar architectures for quantum memory have been proposed for instance in an inhomogeneously broadened ensemble of atoms or nitrogenvacancy centers in diamond [31], [32], [33], nano-mechanical oscillators [34], or a general linear network [35], all of which are modeled by passive linear systems. We should emphasize that the passivity property is essential, as in general an active system violates the energy balance and does not realize a perfect state transfer.…”

Section: (C)mentioning

confidence: 99%

“…In this paper, we focus on the class of passive linear quantum system [21], [22], [23], [24], which serves as a device for several applications in quantum information technology, such as entanglement generation [25], [26], [27], [28], [29], quantum memory [30], [31], [32], [33], [34], [35], and linear quantum computing [36]. Analyzing this important class of systems provides the foundation for the general case, but it has a clear interest in its own right in the context of estimation, as described later in this section.…”

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: (C)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

System Identification for Passive Linear Quantum Systems

Guţǎ

Yamamoto

2016

IEEE Trans. Automat. Contr.

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“…then the single-photon state |1 ξ is able to fully excite a two-level system if β = κ, where κ is the decay rate as introduced in Example 2, see, e.g., [43,47,49,34]. The single photon with pulse shape (4) or (5) has Lorentzian lineshape function with FWHM β [1,28], which in the frequency domain is…”

Section: Single-photon Statesmentioning

confidence: 99%

Single-photon coherent feedback control and filtering

Zhang

2020

Encyclopedia of Systems and Control

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In this survey, we present single-photon states of light fields, discuss how a linear quantum system responds to a single-photon input, after that we show how a coherent feedback network can be used to manipulate the temporal shape of a single-photon state, finally we present a single-photon filter.Index Terms -Quantum control systems; single photon states; filtering; coherent feedback control * This survey is an extensive version of an article in the second edition of the Encyclopaedia of Systems and Control.† Guofeng Zhang is with the

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“…The descriptions are based on general open linear quantum systems. They involve a broad range of classes written by bosonic annihilation and creation operators such as optical devices [1,40], mechanical oscillators [41][42][43] and atomic ensembles [26,44,45]. Although we mainly focus on the optical descriptions, the following calculations are not limited to optics.…”

Section: Appendix A: Theoretical Formulations Of Quantum Coherent Feementioning

confidence: 99%

Feasibility study of a coherent feedback squeezer

et al. 2020

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We investigate a coherent feedback squeezer that uses quantum coherent feedback (measurementfree) control. Our squeezer is simple, easy to implement, robust to the gain fluctuation, and broadband compared to the existing squeezers because of the negative coherent feedback configuration. We conduct a feasibility study that looks at the stability conditions for a feedback system to optimize the designs of real optical devices. The feasibility study gives fabrication tolerance necessary for designing and realizing the actual device. Our formalism for the stability analysis is not limited to optical systems but can be applied to the other bosonic systems.

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Zero-dynamics principle for perfect quantum memory in linear networks

Cited by 46 publications

References 85 publications

System Identification for Passive Linear Quantum Systems

System Identification for Passive Linear Quantum Systems

Single-photon coherent feedback control and filtering

Feasibility study of a coherent feedback squeezer

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