Converting Nonclassicality into Entanglement

N. Killoran, F. E. S. Steinhoff, and M. B. Plenio
Phys. Rev. Lett. 116, 080402 – Published 23 February 2016
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Abstract

Quantum mechanics exhibits a wide range of nonclassical features, of which entanglement in multipartite systems takes a central place. In several specific settings, it is well known that nonclassicality (e.g., squeezing, spin squeezing, coherence) can be converted into entanglement. In this work, we present a general framework, based on superposition, for structurally connecting and converting nonclassicality to entanglement. In addition to capturing the previously known results, this framework also allows us to uncover new entanglement convertibility theorems in two broad scenarios, one which is discrete and one which is continuous. In the discrete setting, the classical states can be any finite linearly independent set. For the continuous setting, the pertinent classical states are “symmetric coherent states,” connected with symmetric representations of the group SU(K). These results generalize and link convertibility properties from the resource theory of coherence, spin coherent states, and optical coherent states, while also revealing important connections between local and nonlocal pictures of nonclassicality.

  • Received 11 June 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.080402

© 2016 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & Technology

Authors & Affiliations

N. Killoran1, F. E. S. Steinhoff2,3, and M. B. Plenio1

  • 1Institut für Theoretische Physik, Albert-Einstein-Allee 11, Universität Ulm D-89069 Ulm, Germany
  • 2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Strasse 3, D-57068 Siegen, Germany
  • 3Instituto de Física, Universidade Federal de Goiás, 74001-970 Goiânia, Goiás, Brazil

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Issue

Vol. 116, Iss. 8 — 26 February 2016

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