Implementing nonlocal gates with nonmaximally entangled states

Berry Groisman*, Benni Reznik

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


We propose and study a method for using nonmaximally entangled states to probabilistically implement desired nonlocal gates. Unlike distillation-based protocols, this method does not generate a maximally entangled state at intermediate stages of the process. As a consequence, the method becomes more efficient at a certain range of parameters. Gates of the form exp[iξσ nAσ nB] with ξ≪1 can be implemented with nearly unit probability and with vanishingly small entanglement, while for the distillation-based method, the gate is produced with a vanishing success probability. We also derive an upper bound to the optimal success probability and show that, in the small-entanglement limit, the bound is tight.

Original languageEnglish
Article number032322
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
StatePublished - 1 Mar 2005


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