Geometric Measure of Quantum Discord Under Decoherence and the Relevant Factorization Law |
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| Authors: | Hao Yuan Lian-Fu Wei |
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| Affiliation: | 1. Quantum Optoelectronics Laboratory, School of Physics and Technology, Southwest Jiaotong University, Chengdu, 610031, China
2. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, China
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| Abstract: | We investigate the dynamics of geometric measure of quantum discord (GMQD) for a class of two-qubit states under local decoherence channels: bit-, phase-, and bit-phase flips. We find that there are four types of dynamical behaviors of the GMQD, i.e., monotonic decay, existing a sudden change point, existing two sudden change points, and unaffected for a finite time interval and then monotonic decay. Furthermore, we establish a factorization law for the GMQD under these decoherence channels. From this law the lower bound of the GMQD can be obtained. |
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