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A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg XY model
Affiliation:1. LPHE-MS, Faculty of Sciences, Mohammed V University of Rabat, Rabat, Morocco;2. Department of Physics, Faculty of Sciences, University Ibn Tofail, Kénitra, Morocco;3. Centre of Physics and Mathematics (CPM), Mohammed V University of Rabat, Rabat, Morocco
Abstract:
Recently, it has been shown that the quantum Fisher information via local observables and via local measurements (i.e., local quantum Fisher information (LQFI)) is a central concept in quantum estimation and quantum metrology and captures the quantumness of correlations in multi-component quantum system (Kim et al. (2018) [28]). This new discord-like measure is very similar to the quantum correlations measure called local quantum uncertainty (LQU). In the present study, we have revealed that LQU is bounded by LQFI in the phase estimation protocol. Also, a comparative study between these two quantum correlations quantifiers is addressed for the quantum Heisenberg XY model. Two distinct situations are considered. The first one concerns the anisotropic XY model and the second situation concerns isotropic XY model submitted to an external magnetic field. Our results confirm that LQFI reveals more quantum correlations than LQU.
Keywords:Local quantum Fisher information  Local quantum uncertainty  Quantum correlations
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