## Multibit CkNOT quantum gates via Rydberg blockade

Date:
2011-12-06
Author(s):

L. Isenhower, M. Saffman, K. Mølmer

Reference:

Quantum Information Processing
December 2011, Volume 10, Issue 6, pp 755-770
DOI: 10.1007/s11128-011-0292-4

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 (C$_k$NOT) 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 $\pi$ 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 $k=35$.