Identifiability of Autonomous and Controlled Open Quantum Systems

• URL: http://arxiv.org/abs/2501.05270v2
• Date: Wed, 19 Feb 2025 16:19:32 GMT
• Title: Identifiability of Autonomous and Controlled Open Quantum Systems
• Authors: Waqas Parvaiz, Johannes Aspman, Ales Wodecki, Georgios Korpas, Jakub Marecek,
• Abstract summary: Open quantum systems are a rich area of research in the intersection of quantum mechanics and analysis. By considering a variety of master equations, we unify multiple views of autonomous and controlled open quantum systems. We formulate corresponding notions of quantum state identifiability for these systems. We set the groundwork for a number of constructive approaches to the identification of open quantum systems.
• Score: 2.0971479389679333
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• Abstract: Open quantum systems are a rich area of research in the intersection of quantum mechanics and stochastic analysis. By considering a variety of master equations, we unify multiple views of autonomous and controlled open quantum systems and, through considering their measurement dynamics, connect them to classical linear and bilinear system identification theory. This allows us to formulate corresponding notions of quantum state identifiability for these systems which, in particular, applies to quantum state tomography, providing conditions under which the probed quantum system is reconstructible. Interestingly, the dynamical representation of the system lends itself to considering two types of identifiability: the full master equation recovery and the recovery of the corresponding system matrices of the linear and bilinear systems. Both of these concepts are discussed in detail, and conditions under which reconstruction is possible are given. We set the groundwork for a number of constructive approaches to the identification of open quantum systems.

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