2011/12/31 by Wei Song, LongBao Yu, Long-Bao Yu +6
Computer Science · Physics and Astronomy · #Class (philosophy) #Factorization #Measure (data warehouse) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum discord #Quantum entanglement #Quantum operation #Quantum state #quant-ph
paper · pdf · doi:10.1007/s11433-013-5026-4
published as Science China Physics, Mechanics and Astronomy, 56, 737-744 (2013) · 10 pages, 4 figures, comments are welcome
openalex publication_date 2013/03/07 · arxiv created 2013/12/02 · arxiv updated 2013/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.