2015/04/30 by Li Dai, Ming-Chiang Chung · 2 citations
Physics and Astronomy · #Adiabatic process #Advanced Condensed Matter Physics #Convertibility #Fermion #Ground state #MAJORANA #Physics #Quantum #Quantum computer #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.91.062319
published as Phys. Rev. A 91, 062319 (2015) · 8 pages, 5 figures, accepted by Physical Review A
arxiv created 2015/05/27 · openalex publication_date 2015/06/16 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The local convertibility of quantum states, measured by the R'enyi entropy, is concerned with whether a state can be transformed into another state, using only local operations and classical communications. We found that in the one-dimensional Kitaev chain with quenched chemical potential \ensuremathμ, the convertibility between the state for \ensuremathμ and that for \ensuremathμ+\ensuremathδ\ensuremathμ depends on the quantum phases of the system (\ensuremathδ\ensuremathμ is a perturbation). This is similar to the adiabatic case where the ground state is considered. Specifically, when the quenched system has edge modes and the subsystem size for the partition is much larger than the correlation length of the Majorana fermions which forms the edge modes, the quenched state is locally inconvertible. We give a physical interpretation for the result, based on analyzing the interactions between the two subsystems for various partitions. Our work should help to better understand the many-body phenomena in topological systems and also the entanglement properties in the Majorana fermionic quantum computation.