Linear Quantum Systems: Non-Classical States and Robust Stability
Technical Report,28 Jun 2012,27 Jun 2015
THE AUSTRALIAN NATIONAL UNIVERSITY CANBERRA Australia
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The proposed work attempted to establish a theoretical framework for the analysis and control of quantum linear systems and their interactions with non-classical quantum fields by developing control theoretic concepts exploiting special features of quantum systems. The research aimed to continue developing a new mathematical framework for robust control of quantum linear systems and extend results to quantum linear systems subject to non-classical quantum fields. The major outcomes of this project are i derivation of quantum filtering equations for systems non-classical input states including single photon states, ii determination of how linear quantum systems respond to multichannel non-classical states, iii linear quantum models for quantum memories and the zero dynamics principle for perfect information transfer, iv development of new structured uncertainty methods that ensure robust stability of quantum systems based on nominal linear models, and v physical realizability results for finite level quantum systems.
- Operations Research
- Theoretical Mathematics
- Quantum Theory and Relativity