HUAI Lin-Ping1,2, ZHANG Yu-Ran2**, LIU Si-Yuan2,3, YANG Wen-Li3, QU Shi-Xian1**, FAN Heng2,4**
1Institute of Theoretical and Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062 2Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 3Institute of Modern Physics, Northwest University, Xi'an 710069 4Collaborative Innovation Center of Quantum Matter, Beijing 100190
Abstract：The most basic local conversion is local operations and classical communications (LOCC), which is also the most natural restriction in quantum information processing. We investigate the conversions between the ground states in quantum critical systems via LOCC and propose a novel method to reveal the different convertibilities via majorization relation when a quantum phase transition occurs. The ground-state local convertibility in the one-dimensional transverse field Ising model is studied. It is shown that the LOCC convertibility changes nearly at the phase transition point. The relation between the order of quantum phase transitions and the LOCC convertibility is discussed. Our results are compared with the corresponding results by using the Rényi entropy and the LOCC convertibility with assisted entanglement.
2014, Vol. 31 
