A Subsystem-Independent Generalization of Entanglement

Phys. Rev. Lett. 92, 107902 – Published 12 March 2004
Howard Barnum, Emanuel Knill, Gerardo Ortiz, Rolando Somma, and Lorenza Viola

Abstract

We present a generalization of entanglement based on the idea that entanglement is relative to a distinguished subspace of observables rather than a distinguished subsystem decomposition. A pure quantum state is entangled relative to such a subspace if its expectations are a proper mixture of those of other states. Many information-theoretic aspects of entanglement can be extended to this observable-based setting, suggesting new ways of measuring and classifying multipartite entanglement. By going beyond the distinguishable-subsystem framework, generalized entanglement also provides novel tools for probing quantum correlations in interacting many-body systems.

DOI: http://dx.doi.org/10.1103/PhysRevLett.92.107902

  • Figure
  • Received 5 May 2003
  • Published 12 March 2004

© 2004 The American Physical Society

Authors & Affiliations

Howard Barnum, Emanuel Knill, Gerardo Ortiz, Rolando Somma, and Lorenza Viola

  • Los Alamos National Laboratory, MS B256, Los Alamos, New Mexico 87545, USA

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