Preparation Of Quantum State And Verification Of Jarzynski-Related Information-Theoretic Equality Based On Ultra-cold Ion

Quantum Information Science is a discipline that makes use of the unique properties of quantum system to give new interpretations of computing,coding,information processing and transmission processes,and to develop new and more efficient information processing functions.It is a product of the combination of qualtum mechanics science and information science,including quantum comput-ing and quantum communication.At present,many quantum systems are being explored.Among them,the ion trap system has the advantages of long captivity,long coherence time and scalability,making it one of the most promising system-s for large-scale quantum computation.Quantum entanglement,represented by Schrodinger cat state,has become one of the core resources of quantum computing,quantum communication,precision measurement and the basie principles of quan-tum mechanics.Therefore,the importance of realizing the the macro Schr6dinger cat state is self-evident.At the same time,Some thermodynamics-related theorem-s of quantum information,such as Landauer’s theorem and Jarzynski’s equation,play a decisive role in the development of quantum information.Only by better understanding and verifying these theorems can we further promote the develop-ment of quantumn information science.This paper mainly introduces the work of our ion trap system,including the preparation of Schrodinger cat state in the linear ion trap control system and the establishment of Jarzynski’s related theoretical information inequality,as follows:1.A new laser frequency stabilization circuit system and a new laser current temperature control circuit have been designed and manufactured,and a prisoner potential circuit has been optimized.These circuits can effectively stabilize the laser frequency and the trapping potential system,providing the necessary basic conditions for the experiment.2、In order to further prepare a single trapped banded Schr6dinger cat state,reference is made to the preparation and measurement methods of the single-ion entangled state inside and outside of various ions.And with reference to the above several programs,using existing experimental devices,set up to achieve Schrodinger cat state optic path.3、The establishment of Jarzynski-related information theoretic equation is verified by two steps of projections using the pure state and the Gibbs state of single ions in turn.Conditional probabilities can be validated to establish this equation.