Long range Rydberg blockade interactions have the potential for efficient implementation of quantum gates between multiple atoms. Here we present and analyze a protocol for implementation of a k-atom controlled NOT (CkNOT) neutral atom gate. This gate can be implemented using sequential or simultaneous addressing of the control atoms which requires only 2k+3 or 5 Rydberg π pulses respectively. A detailed error analysis relevant for implementations based on alkali atom Rydberg states is provided which shows that gate errors less than 10% are possible for k=35.
@article{arxiv.1104.3916,
title = {Multibit C$_k$NOT quantum gates via Rydberg blockade},
author = {L. Isenhower and M. Saffman and K. Molmer},
journal= {arXiv preprint arXiv:1104.3916},
year = {2012}
}
Comments
submitted to "Quantum Information Processing" special issue on "Quantum Information with Neutral Particles". v2, discussion of estimated errors expanded