Majorization relation in quantum critical systems
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 an novel method to reveal t...
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| creator | Lin-Ping, Huai Yu-Ran, Zhang Si-Yuan, Liu Wen-Li, Yang Shi-Xian Qu Fan, Heng |
| description | 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 an novel method to reveal the different convertibility 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 using the Renyi entropy and the LOCC convertibility with assisted entanglement. |
| doi_str_mv | 10.48550/arxiv.1505.06063 |
| format | Article |
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We investigate the conversions between the ground states in quantum critical systems via LOCC and propose an novel method to reveal the different convertibility 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. 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| subjects | Basic converters Data processing Entropy (Information theory) Ising model Phase transitions Physics - Quantum Physics Quantum entanglement Quantum phenomena Transition points |
| title | Majorization relation in quantum critical systems |
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