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Article overview
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Parametrization and distillability of three-qubit entanglement | | Todd A. Brun
; Oliver Cohen
; | | Date: |
29 May 2000 | | Journal: | Phys. Lett. A 281, 88 (2001). | | Subject: | quant-ph | | Affiliation: | IAS) and Oliver Cohen (Carnegie Mellon University | | Abstract: | There is an ongoing effort to quantify entanglement of quantum pure states for systems with more than two subsystems. We consider three approaches to this problem for three-qubit states: choosing a basis which puts the state into a standard form, enumerating ``local invariants,’’ and using operational quantities such as the number of maximally entangled states which can be distilled. In this paper we evaluate a particular standard form, the {it Schmidt form}, which is a generalization of the Schmidt decomposition for bipartite pure states. We show how the coefficients in this case can be parametrized in terms of five physically meaningful local invariants; we use this form to prove the efficacy of a particular distillation technique for GHZ triplets; and we relate the yield of GHZs to classes of states with unusual entanglement properties, showing that these states represent extremes of distillability as functions of two local invariants. | | Source: | arXiv, quant-ph/0005124 | | Services: | Forum | Review | PDF | Favorites | |
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