Identification of Quantum Closed Systems via the Quantum Process Tomography

摘要：

The dynamics of an unknown closed quantum system can be characterized by a Hamiltonian. We discuss the identification of this Hamiltonian from quantum process tomography data at several time points for systems with a time-independent Hamiltonian. Quantum process tomography (QPT) yields a set of unitary operators and allows us to convert the identification problem into an estimation problem for the eigenfrequencies of the system. Spectral decomposition of Hermitian and unitary operators shows that process tomography needs to be performed at least at two different time points and the identifiability of the Hamiltonian depends on the choice of these points. Sufficient conditions on the timing to ensure complete identifiability of the Hamiltonian are presented under the assumption that unitary matrices obtained from QPT are exact without numerical errors.

关键词： System Identification Quantum Process Tomography Hamiltonian Estimation Quantum Closed System

作者: Zhou Weiwei Schirmer Sophie G. Xie Hong-Wei Zhang Ming

作者单位: College of Mechatronic Engineering and Automation, National University of Defense TechnologyChangsha Department of Applied Mathematics and Theoretical Physics, University of Cambridge Cambridge, CB3 0W

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 7166-7171

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）