QND Measurement Based On Superconducting Quantum Circuits Using Resonance Fluorescence

Along with the rapid development of science and technology, quantum information technology which combines quantum physics with information technology has become very popular in modern science and it has a lot of potential applications in two emerging areas of quantum communication and quantum computation. There is a major content of quantum communication: quantum information measurement. When you want to measure a quantum system, however, it is vulnerable interfered by quantum noise which caused by the environment and the process of measuring, so as to have an impact on the measurement result. But there is a kind of measurement, not only can avoid the interference to quantum system, but also have a ability to continuous measure the correct information, this kind measurement called quantum non-demolition measurement(QND).QND measurement has important application in the extraction of quantum information and detection about quantum system.There is a important research about interaction of optical field and atoms in quantum optics, this content is resonance fluorescence. Under the effect of a resonance field, it can cause electron transition between atom energy levels, and then form a fluorescence spectrum by scattered photon that come from spontaneous emission process, through an analysis of resonance fluorescence spectrum we can determine the nature of atomic structure, optical field, and so on. So we can use resonance fluorescence to study the quantum measurement.In recently years, superconducting quantum circuits has got extensive research. Due to it's possible strong coupling between “atom” and cavity field, it's easy to implement the complex topology structure by using inductors, capacitors and transmission line. And it also can adjust parameters depending on your requirements. So it is possible to study issues relative quantum optics by using superconducting quantum circuits instead of the traditional atom-cavity system and as well as cavity quantum electrodynamics.In this thesis, the quantum system that we have studied is based on superconducting quantum circuits. We theoretically invested QND measurement that combine with the application of resonance fluorescence to detect a quantum system which based on superconducting quantum circuits. In the last result, there are two peaks appeared in the resonance fluorescence spectrum which have different coordinates, and every x-coordinate of peaks represent the information which we want to measure.