Coherent-classical estimation for linear quantum systems
Autor: | Elanor H. Huntington, Ian R. Petersen, Shibdas Roy |
---|---|
Rok vydání: | 2017 |
Předmět: |
0209 industrial biotechnology
Computer science FOS: Physical sciences Systems and Control (eess.SY) 02 engineering and technology 01 natural sciences 020901 industrial engineering & automation Control theory 0103 physical sciences FOS: Mathematics FOS: Electrical engineering electronic engineering information engineering Electrical and Electronic Engineering 010306 general physics Mathematics - Optimization and Control Quantum Estimation Quantum Physics Detector Estimator Creation and annihilation operators Kalman filter Direct-conversion receiver Optimization and Control (math.OC) Control and Systems Engineering Computer Science - Systems and Control Quantum Physics (quant-ph) |
Zdroj: | Automatica. 82:109-117 |
ISSN: | 0005-1098 |
DOI: | 10.1016/j.automatica.2017.04.034 |
Popis: | We study a coherent-classical estimation scheme for a class of linear quantum systems, where the estimator is a mixed quantum-classical system that may or may not involve coherent feedback. We show that when the quantum plant or the quantum part of the estimator (coherent controller) is an annihilation operator only system, coherent-classical estimation without coherent feedback can provide no improvement over purely-classical estimation. Otherwise, coherent-classical estimation without feedback can be better than classical-only estimation for certain homodyne detector angles, although the former is inferior to the latter for the best choice of homodyne detector angle. Moreover, we show that coherent-classical estimation with coherent feedback is no better than classical-only estimation, when both the plant and the coherent controller are annihilation operator only systems. Otherwise, coherent-classical estimation with coherent feedback can be superior to purely-classical estimation, and in this case, the former is better than the latter for the optimal choice of homodyne detector angle. Comment: Minor corrections; 10 pages, 13 figures, journal version. arXiv admin note: substantial text overlap with arXiv:1403.5348 |
Databáze: | OpenAIRE |
Externí odkaz: |