Exact model reduction for discrete-time conditional quantum dynamics

• URL: http://arxiv.org/abs/2403.12575v2
• Date: Thu, 9 May 2024 06:15:41 GMT
• Title: Exact model reduction for discrete-time conditional quantum dynamics
• Authors: Tommaso Grigoletto, Francesco Ticozzi,
• Abstract summary: We propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on examples.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on prototypical examples.

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