Transversal Logical Clifford gates on rotated surface codes with reconfigurable neutral atom arrays

TL;DR

This paper introduces hardware-efficient methods for implementing transversal logical Clifford gates on rotated surface codes using reconfigurable neutral atom arrays, enabling improved quantum error correction and gate operations.

Contribution

It presents novel protocols for transversal logical H and S gates that are efficient and compatible with neutral atom array hardware, including a new approach for S gates embedded within syndrome extraction.

Findings

Logical S gate performance matches quantum memory under noise.

Protocols enable a complete transversal Clifford gate set on rotated surface codes.

Efficient implementation demonstrated on reconfigurable neutral atom platforms.

Abstract

We propose hardware-efficient schemes for implementing logical H and S gates transversally on rotated surface codes with reconfigurable neutral atom arrays. For logical H gates, we develop a simple strategy to rotate code patches efficiently with two sets of 2D-acousto-optic deflectors (2D-AODs). Our protocol for logical S gates utilizes the time-dynamics of the data and ancilla qubits during syndrome extraction (SE). In particular, we break away from traditional schemes where transversal logical gates take place between two SE rounds and instead embed our fold-transversal logical operation inside a single SE round, leveraging the fact that data and ancilla qubits can be morphed to an unrotated surface code state at half-cycle. Under circuit noise, we observe the performance of our S gate protocol is on par with the quantum memory. Together with transversal logical CNOT gates, our protocols complete a transversal logical Clifford gate set on rotated surface codes and admit efficient implementation on neutral atom array platforms.