Networked Quantum Systems

Petersen, Ian R.

doi:10.1007/978-3-030-04630-9_17

Cited by 1 publication

(2 citation statements)

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“…The problem of physical realization of quantum linear systems was first addressed in [46] and [53]. A comprehensive study of physical realization of quantum linear systems is nicely summarized in [9, Chapter 3], see also [54], [55], [56] and [40,Sections 2.4 and 3]. Further development can be found in [57,58].…”

Section: Quantum Linear Systemsmentioning

confidence: 99%

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Linear quantum systems: a tutorial

Zhou¹

2022

Preprint

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The purpose of this tutorial is to give a brief introduction to linear quantum control systems. The mathematical model of linear quantum control systems is presented first, then some fundamental control-theoretic notions such as stability, controllability and observability are given, which are closely related to several important concepts in quantum information science such as decoherence-free subsystems, quantum nondemolition variables, and back-action evasion measurements. After that, quantum Gaussian states are introduced, in particular, an information-theoretic uncertainty relation is presented which often gives a better bound for mixed Gaussian states than the well-known Heisenberg uncertainty relation. The quantum Kalman filter is presented for quantum linear systems, which is the quantum analogy of the Kalman filter for classical (namely, non-quantum-mechanical) linear systems. The quantum Kalman canonical decomposition for quantum linear systems is recorded, and its application is illustrated by means of a recent experiment. As single-and multi-photon states are useful resources in quantum information technology, the response of quantum linear systems to these types of input is presented. Finally, coherent feedback control of quantum linear systems is briefly introduced, and a recent experiment is used to demonstrate the effectiveness of quantum linear systems and networks theory.

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Section: Quantum Linear Systemsmentioning

confidence: 99%

“…Quantum linear systems have been studied extensively, and many results have been recorded in the well-known books [3, chapter 7], [9], [5, chapter 6], and a recent survey paper [40]. The aim of this tutorial is to give a concise introduction to quantum linear systems with emphasis on recent development.…”

Section: Introductionmentioning

confidence: 99%

Linear quantum systems: a tutorial

Zhou¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

Networked Quantum Systems

Cited by 1 publication

References 62 publications

Linear quantum systems: a tutorial

Linear quantum systems: a tutorial

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