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Bulletin of the American Physical Society

Rydberg mediated entanglement in a two-dimensional neutral atom qubit array

Mark E. Saffman

Published Mar 2, 2020• 0 citations
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We demonstrate high fidelity two-qubit Rydberg blockade and entanglement on a pair of sites in a large two-dimensional qubit array. The qubit array is defined by a grid of blue detuned lines of light with 121 sites for trapping atomic qubits. Improved experimental methods have increased the observed Bell state fidelity to F_{Bell}=0.86(2). Accounting for errors in state preparation and measurement we infer a fidelity of F_{Bell}^{-SPAM}=0.88. Accounting for errors in single qubit operations we infer that a Bell state created with the Rydberg mediated C_{Z} gate has a fidelity of F_{Bell}^{C_{Z}}=0.89. Comparison with a detailed error model based on quantum process matrices indicates that finite atom temperature and laser noise are the dominant error sources contributing to the observed gate infidelity.
We report the implementation of universal two- and three-qubit entangling gates on neutral-atom qubits encoded in long-lived hyperfine ground states. The gates are mediated by excitation to strongly interacting Rydberg states and are implemented in parallel on several clusters of atoms in a one-dimensional array of optical tweezers. Specifically, we realize the controlled-phase gate, enacted by a novel, fast protocol involving only global coupling of two qubits to Rydberg states. We benchmark this operation by preparing Bell states with fidelity F≥95.0(2)%, and extract gate fidelity ≥97.4(3)%, averaged across five atom pairs. In addition, we report a proof-of-principle implementation of the three-qubit Toffoli gate, in which two control atoms simultaneously constrain the behavior of one target atom. These experiments demonstrate key ingredients for high-fidelity quantum information processing in a scalable neutral-atom platform.
Successful execution of a quantum information processing (QIP) task on a quantum processing device depends on the availability of high-quality entangling gates. Two important goals in the design and implementation of any entangling gate are low error rates and high connectivity. The former minimizes unintended perturbations to the quantum state during application of that gate, while the latter maximizes the set of qubits that can interact directly without remapping the QIP task through intermediary qubits -- a step that can require many additional gates. Unfortunately, these goals can sometimes conflict, necessitating a careful trade-off. In this work, we study that trade-off in two-dimensional (2D) arrays of neutral atoms interacting through two-qubit gates mediated by the Rydberg blockade effect. The connectivity associated with Rydberg mediated gates on a 2D array is limited by the strength of the Rydberg blockade shift, which decays with distance. Whereas a common strategy to improving connectivity is to use Rydberg levels with larger dipole moments, doing so also leaves the atom more susceptible to electric field noise. Here, we simulate the performance of various logical QIP operations under realistic noise sources and for a variety of Rydberg levels in order to evaluate the connectivity versus gate error trade-off. We find that under many noise regimes, a preferred range of interaction emerges that best satisfies that trade-off. While the exact optimum interaction range depends closely on the details of the atomic implementation, we present simple scaling arguments with broad applicability that should inform future hardware and compiler design choices.