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Mixtures of maximally entangled pure states

Journal Article · · Annals of Physics
We study the conditions when mixtures of maximally entangled pure states remain entangled. We found that the resulting mixed state remains entangled when the number of entangled pure states to be mixed is less than or equal to the dimension of the pure states. For the latter case of mixing a number of pure states equal to their dimension, we found that the mixed state is entangled provided that the entangled pure states to be mixed are not equally weighted. We also found that one can restrict the set of pure states that one can mix from in order to ensure that the resulting mixed state is genuinely entangled. Also, we demonstrate how these results could be applied as a way to detect entanglement in mixtures of the entangled pure states with noise.
OSTI ID:
22617380
Journal Information:
Annals of Physics, Journal Name: Annals of Physics Vol. 372; ISSN 0003-4916; ISSN APNYA6
Country of Publication:
United States
Language:
English

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