Necessary conditions for entanglement catalysts

Yuval Rishu Sanders and Gilad Gour
Phys. Rev. A 79, 054302 – Published 6 May 2009

Abstract

Given a pure state transformation ψϕ restricted to entanglement-assisted local operations with classical communication, we determine a lower bound for the dimension of a catalyst allowing that transformation. Our bound is stated in terms of the generalized concurrence monotones (the usual concurrence of two qubits is one such monotone). We further provide tools for deriving further conditions upon catalysts of pure state transformations.

  • Received 23 January 2009

DOI:https://doi.org/10.1103/PhysRevA.79.054302

©2009 American Physical Society

Authors & Affiliations

Yuval Rishu Sanders* and Gilad Gour

  • Department of Mathematics and Statistics and Institute for Quantum Information Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4

  • *yrsanders@math.ucalgary.ca

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Issue

Vol. 79, Iss. 5 — May 2009

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