Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7380831 | Physica A: Statistical Mechanics and its Applications | 2014 | 7 Pages |
Abstract
Taking into account the density matrices with non-full ranks, we show that the fidelity susceptibility is determined by the support of the density matrix. Combining with the corresponding expression of the quantum Fisher information, we rigorously prove that the fidelity susceptibility is proportional to the quantum Fisher information. As this proof can be naturally extended to the full rank case, this proportional relation is generally established for density matrices with arbitrary ranks. Furthermore, we give an analytical expression of the quantum Fisher information matrix, and show that it can also be represented in the density matrix's support.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jing Liu, Heng-Na Xiong, Fei Song, Xiaoguang Wang,