Exact model reduction for discrete-time conditional quantum dynamics

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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Cited by in corpus (3)

• Exact Model Reduction for Continuous-Time Open Quantum Dynamics
• Quantum model reduction for continuous-time quantum filters
• Model Reduction for Quantum Systems: Discrete-time Quantum Walks and Open Markov Dynamics