Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/17334
Title: Local convertibility and the quantum simulation of edge states in many-body systems
Authors: Franchini, Fabio
Cui, Jian
Amico, Luigi
Fan, Heng
Gu, Mile
Korepin, Vladimir
Kwek, Leong Chuan
Vedral, Vlatko
Issue Date: 2014
Citation: Franchini, F., Cui, J., Amico, L., Fan, H., Gu, M., Korepin, V., ... & Vedral, V. (2014). Local convertibility and the quantum simulation of edge states in many-body systems. Physical Review X, 4(4), 041028.
Abstract: In some many-body systems, certain ground-state entanglement (Rényi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of nonclassicality. In this work, we demonstrate that such a phenomenon, known as lack of local convertibility, is due to the edge-state (de)construction occurring in the system. To this end, we employ the example of the Ising chain, displaying an order-disorder quantum phase transition. Employing both analytical and numerical methods, we compute entanglement entropies for various system bipartitions (A|B) and consider ground states with and without Majorana edge states. We find that the thermal ground states, enjoying the Hamiltonian symmetries, show lack of local convertibility if either A or B is smaller than, or of the order of, the correlation length. In contrast, the ordered (symmetry-breaking) ground state is always locally convertible. The edge-state behavior explains all these results and could disclose a paradigm to understand local convertibility in other quantum phases of matter. The connection we establish between convertibility and nonlocal, quantum correlations provides a clear criterion of which features a universal quantum simulator should possess to outperform a classical machine.
URI: http://hdl.handle.net/10497/17334
ISSN: 2160-3308
Other Identifiers: 10.1103/PhysRevX.4.041028
Website: http://dx.doi.org/10.1103/PhysRevX.4.041028
Appears in Collections:Journal Articles

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