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|a Franchini, Fabio
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|a Massachusetts Institute of Technology. Department of Physics
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|a Franchini, Fabio
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|a Cui, Jian
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|a Amico, Luigi
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|a Fan, Heng
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|a Gu, Mile
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|a Korepin, Vladimir
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|a Kwek, Leong Chuan
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|a Vedral, Vlatko
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|a Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems
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|b American Physical Society,
|c 2014-11-17T17:00:11Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/91589
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|a 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.
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|a Seventh Framework Programme (European Commission) (Marie Curie International Outgoing Fellowship Grant PIOF-PHY-276093)
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|a en
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|a Article
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|t Physical Review X
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