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Risk-sensitive Performance Criteria and Robustness of Quantum Systems with a Relative Entropy Description of State Uncertainty by Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. is a scholarly article available to read on EtoBox.

What is Risk-sensitive Performance Criteria and Robustness of Quantum Systems with a Relative Entropy Description of State Uncertainty about?

This paper considers links between the original risk-sensitive performance criterion for quantum control systems and its recent quadratic-exponential counterpart. We discuss a connection between the minimization of these cost functionals and robustness with respect to uncertainty in system-environment quantum states whose deviation from a nominal state is described in terms of the quantum relative entropy. These relations are similar to those in minimax LQG control for classical systems. The results of the paper can be of use in providing a rational choice of the risk-sensitivity parameter in the context of robust quantum control with entropy theoretic quantification of statistical uncertainty in the system-field state.

Author

Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.

Published

2018

Language

EN