We investigate the geometric picture of the level surfaces of quantum entanglement and geometric measure of quantum discord(GMQD) of a class of X-states, respectively. This pictorial approach provides us a direct unde...We investigate the geometric picture of the level surfaces of quantum entanglement and geometric measure of quantum discord(GMQD) of a class of X-states, respectively. This pictorial approach provides us a direct understanding of the structure of entanglement and GMQD. The dynamic evolution of GMQD under two typical kinds of quantum decoherence channels is also investigated. It is shown that there exists a class of initial states for which the GMQD is not destroyed by decoherence in a finite time interval. Furthermore, we establish a factorization law between the initial and final GMQD, which allows us to infer the evolution of entanglement under the influences of the environment.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos.10905024, 11005029, 11104057 and 11204061)the Key Project of Chinese Ministry of Education (Grant No. 211080)+2 种基金the Key Program of the Education Department of Anhui Province (Grant Nos. KJ2011A243, KJ2012A244 and KJ2012A245)the Anhui Provincial Natural Science Foundation (Grant Nos. 11040606M16 and 10040606Q51)the Doctoral Startup Foundation of Hefei Normal University (Grant No. 2011rcjj03)
文摘We investigate the geometric picture of the level surfaces of quantum entanglement and geometric measure of quantum discord(GMQD) of a class of X-states, respectively. This pictorial approach provides us a direct understanding of the structure of entanglement and GMQD. The dynamic evolution of GMQD under two typical kinds of quantum decoherence channels is also investigated. It is shown that there exists a class of initial states for which the GMQD is not destroyed by decoherence in a finite time interval. Furthermore, we establish a factorization law between the initial and final GMQD, which allows us to infer the evolution of entanglement under the influences of the environment.
