[en] In quantum metrology, nonlinear many-body interactions can enhance the precision of Hamiltonian parameter estimation to surpass the Heisenberg scaling. Here, we consider the the estimation of the interaction strength in linear systems with long-range interactions and using the Kitaev chains as a case study, we establish a transition from the Heisenberg to super-Heisenberg scaling in the quantum Fisher information by varying the interaction range. We further show that quantum control can improve the prefactor of the quantum Fisher information. Our results explore the advantage of optimal quantum control and long-range interactions in many-body quantum metrology.
Disciplines :
Physics
Author, co-author :
Yang, Jing ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Pang, Shengshi; School of Physics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, China
Del Campo Echevarria, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Jordan, Andrew N.; Institute for Quantum Studies, Chapman University, 1 University Drive, Orange, California 92866, USA ; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA
External co-authors :
yes
Language :
English
Title :
Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain
