Majorization relation in quantum critical systems

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 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.

4 pages, 4 figures

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Cited by in corpus (2)

• Approximate transformations of bipartite pure-state entanglement from the majorization lattice
• Phase diagram of quantum critical system via local convertibility of ground state