期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：499-504
出版社：Newswood and International Association of Engineers
摘要：We propose the protocol of real-time quantum
state estimation based on continuous weak measurement and
compressed sensing (CS). We consider a pure ensemble of
identical qubit spins which interacts with an optical mode and is
measured continuously by homodyne detection. Assuming that
the computing time is ignored, the state of the qubit ensemble
can be estimated in real time. We verify the real-time estimation
by simulation experiments on MATLAB. The evolution
trajectories of the actual states and the corresponding estimated
results are shown in Bloch sphere, and the influence of the
parameters on the performance of the estimation results is
analyzed. The experimental results show that when the system
is under a constant applied magnetic field and the selected weak
measure operator does not coincide with or be orthogonal to the
Hamiltonian of the system, the state of the qubit ensemble can
be accurately estimated in real time with only 2 consecutive
measurements records.
