Multibit C$_k$NOT quantum gates via Rydberg blockade

TL;DR

This paper proposes a protocol for implementing multi-atom C$_k$NOT gates using Rydberg blockade interactions, offering efficient control with minimal pulses and low error rates for up to 35 atoms.

Contribution

It introduces a new method for multi-atom quantum gates with simplified pulse sequences and detailed error analysis for alkali Rydberg atoms.

Findings

Gate errors less than 10% for up to 35 atoms.

Sequential and simultaneous addressing protocols demonstrated.

Efficient implementation with minimal Rydberg pulses.

Abstract

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 $k=35$.