Certifying steady-state properties of open quantum systems

• URL: http://arxiv.org/abs/2410.13646v1
• Date: Thu, 17 Oct 2024 15:13:12 GMT
• Title: Certifying steady-state properties of open quantum systems
• Authors: Luke Mortimer, Donato Farina, Grazia Di Bello, David Jansen, Andreas Leitherer, Pere Mujal, Antonio Acín,
• Abstract summary: Estimating steady state properties of open quantum systems is a crucial problem in quantum technology. We show how to derive in a scalable way using semi-definite programming certified bounds on the expectation value of an arbitrary observable.
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• Abstract: Estimating steady state properties of open quantum systems is a crucial problem in quantum technology. In this work, we show how to derive in a scalable way using semi-definite programming certified bounds on the expectation value of an arbitrary observable of interest on the steady state of Lindbladian dynamics. We illustrate our method on a series of many-body systems, including a one-dimensional chain and a two-dimensional ladder, and benchmark it with state-of-the-art tensor-network approaches. For the tested models, only modest computational effort is needed to obtain certified bounds whose precision is comparable to variational methods

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