Multibit C$_k$NOT quantum gates via Rydberg blockade

Physics – Quantum Physics

Scientific paper

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submitted to "Quantum Information Processing" special issue on "Quantum Information with Neutral Particles". v2, discussion of

Scientific paper

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 $k=35$.

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