Quantum Computation in Correlation Space and Extremal Entanglement

J.-M. Cai, W. Dür, M. Van den Nest, A. Miyake, and H. J. Briegel
Phys. Rev. Lett. 103, 050503 – Published 30 July 2009

Abstract

Recently, a framework was established to systematically construct novel universal resource states for measurement-based quantum computation using techniques involving finitely correlated states. With these methods, universal states were found which are in certain ways much less entangled than the original cluster-state model, and it was hence believed that with this approach, many of the extremal entanglement features of the cluster states could be relaxed. The new resources were constructed as “computationally universal” states—i.e., they allow one to efficiently reproduce the classical output of each quantum computation—whereas the cluster states are universal in a stronger sense since they are “universal state preparators.” Here, we show that the new resources are universal state preparators after all, and must therefore exhibit a whole class of extremal entanglement features, similar to the cluster states.

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  • Received 2 March 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.050503

©2009 American Physical Society

Authors & Affiliations

J.-M. Cai1,2, W. Dür1,2, M. Van den Nest3, A. Miyake1,2,4, and H. J. Briegel1,2

  • 1Institut für Quantenoptik und Quanteninformation der Österreichischen, Akademie der Wissenschaften, Innsbruck, Austria
  • 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria
  • 3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
  • 4Perimeter Institute for Theoretical Physics, 31 Caroline Street N., Waterloo Ontario, N2L 2Y5, Canada

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Issue

Vol. 103, Iss. 5 — 31 July 2009

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