Measurement of quantum correlation by Frobenius norm in non-Markovian system

作者:Hu, Juju*; Liu, Shuqin; Ji, Yinghua
来源:International Journal of Quantum Information, 2018, 16(3): 1850022.
DOI:10.1142/S0219749918500223

摘要

In order to measure the quantum correlation of a bipartite state quickly, an easy method is to construct a test matrix through the commutations among the blocks of its density matrix. Then, the Frobenius norm of the test matrix can be used to measure the quantum correlation. In this paper, we apply the measurement by Frobenius norm (C-(F)) to the dynamics evolution of the non-Markovian quantum system and compare it with the typical quantum discord (C-(Q)) proposed by Ollivier and Zurek. The research results show that C-(F) can indeed measure the quantum correlation of a bipartite state as same as C-(Q). Further studies find that there are still differences between the two measurements: in some regions, when C-(Q) is zero, C-(F) is not zero. It indicates that C-(F) is more detailed than C-(Q) to measure quantum correlation of a bipartite state.