Phys. Rev. A 79, 032322 (2009) [8 pages]Scalability of Greenberger-Horne-Zeilinger and random-state entanglement in the presence of decoherenceReceived 22 December 2008; published 18 March 2009 We derive analytical upper bounds for the entanglement of generalized Greenberger-Horne-Zeilinger states coupled to locally depolarizing and dephasing environments and for local thermal baths of arbitrary temperature. These bounds apply for any convex quantifier of entanglement, and exponential entanglement decay with the number of constituent particles is found. The bounds are tight for depolarizing and dephasing channels. We also show that randomly generated initial states tend to violate these bounds and that this discrepancy grows with the number of particles. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.032322
DOI:
10.1103/PhysRevA.79.032322
PACS:
03.67.Mn, 03.65.Yz
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.