Journal Article
Machine Learning

Logical quantum processor based on reconfigurable atom arrays

Dolev Bluvstein(Harvard University), Simon J. Evered(Harvard University), Alexandra A. Geim(Harvard University), Sophie H. Li(Harvard University), Hengyun Zhou(Harvard University), Tom Manovitz(Harvard University), Sepehr Ebadi(Harvard University), Madelyn Cain(Harvard University), M. W. Kalinowski(Harvard University), Dominik Hangleiter(Joint Center for Quantum Information and Computer Science), J. Pablo Bonilla Ataides(Harvard University), Nishad Maskara(Harvard University), Iris Cong(Harvard University), Xun Gao(Harvard University), Pedro Sales Rodriguez(QuEra Computing (United States)), Thomas Karolyshyn(QuEra Computing (United States)), Giulia Semeghini(Harvard University), Michael J. Gullans(Joint Center for Quantum Information and Computer Science), Markus Greiner(Harvard University), Vladan Vuletić(Massachusetts Institute of Technology), Mikhail D. Lukin(Harvard University)
December 6, 2023Nature1,525 citations

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Abstract

Abstract Suppressing errors is the central challenge for useful quantum computing 1 , requiring quantum error correction (QEC) 2–6 for large-scale processing. However, the overhead in the realization of error-corrected ‘logical’ qubits, in which information is encoded across many physical qubits for redundancy 2–4 , poses substantial challenges to large-scale logical quantum computing. Here we report the realization of a programmable quantum processor based on encoded logical qubits operating with up to 280 physical qubits. Using logical-level control and a zoned architecture in reconfigurable neutral-atom arrays 7 , our system combines high two-qubit gate fidelities 8 , arbitrary connectivity 7,9 , as well as fully programmable single-qubit rotations and mid-circuit readout 10–15 . Operating this logical processor with various types of encoding, we demonstrate improvement of a two-qubit logic gate by scaling surface-code 6 distance from d = 3 to d = 7, preparation of colour-code qubits with break-even fidelities 5 , fault-tolerant creation of logical Greenberger–Horne–Zeilinger (GHZ) states and feedforward entanglement teleportation, as well as operation of 40 colour-code qubits. Finally, using 3D [[8,3,2]] code blocks 16,17 , we realize computationally complex sampling circuits 18 with up to 48 logical qubits entangled with hypercube connectivity 19 with 228 logical two-qubit gates and 48 logical CCZ gates 20 . We find that this logical encoding substantially improves algorithmic performance with error detection, outperforming physical-qubit fidelities at both cross-entropy benchmarking and quantum simulations of fast scrambling 21,22 . These results herald the advent of early error-corrected quantum computation and chart a path towards large-scale logical processors.

Analysis

Why This Paper Matters

This paper marks a significant milestone in quantum computing by demonstrating a programmable logical quantum processor that operates with up to 280 physical qubits and uses quantum error correction to improve performance. The key breakthrough is the integration of high-fidelity two-qubit gates, arbitrary connectivity, and mid-circuit readout in a reconfigurable neutral-atom array architecture, enabling the realization of error-corrected logical qubits that outperform physical qubits in algorithmic tasks. This work directly addresses the central challenge of suppressing errors for useful quantum computing, moving beyond simple physical qubit demonstrations to a system where logical encoding provides tangible benefits.

The significance is amplified by the demonstration of multiple error correction codes (surface, color, and 3D [[8,3,2]] code blocks) and complex operations such as fault-tolerant logical GHZ state creation and entanglement teleportation. The ability to scale surface-code distance from d=3 to d=7 and operate 40 color-code qubits shows a clear path toward larger-scale logical processors. This is a crucial step toward practical quantum advantage, as it shows that error correction can be implemented in a programmable, scalable system.

Technical Contributions

  • Reconfigurable neutral-atom arrays: The system uses a zoned architecture with high two-qubit gate fidelities (up to 99.5% as reported in prior work) and arbitrary connectivity, enabling flexible logical qubit encoding.
  • Logical-level control: Full programmability of single-qubit rotations and mid-circuit readout allows for dynamic error correction and feedforward operations.
  • Surface-code scaling: Demonstrated improvement of a two-qubit logic gate by scaling surface-code distance from d=3 to d=7, showing error suppression with increased code size.
  • Color-code qubits: Preparation of color-code qubits with break-even fidelities, meaning the logical qubit fidelity matches or exceeds the best physical qubit fidelity.
  • Fault-tolerant logical GHZ states: Creation of logical Greenberger-Horne-Zeilinger states with error detection, a key resource for quantum communication and computation.
  • 3D [[8,3,2]] code blocks: Realization of computationally complex sampling circuits with up to 48 logical qubits entangled with hypercube connectivity, including 228 logical two-qubit gates and 48 logical CCZ gates.

Results

The paper reports several concrete metrics:

  • Improvement of a two-qubit logic gate by scaling surface-code distance from d=3 to d=7.
  • Preparation of color-code qubits with break-even fidelities.
  • Fault-tolerant creation of logical GHZ states and feedforward entanglement teleportation.
  • Operation of 40 color-code qubits.
  • Realization of sampling circuits with up to 48 logical qubits, 228 logical two-qubit gates, and 48 logical CCZ gates.
  • Substantial improvement in algorithmic performance with error detection, outperforming physical-qubit fidelities at both cross-entropy benchmarking and quantum simulations of fast scrambling.

These results demonstrate that logical encoding provides a clear advantage over physical qubits, even at the current scale of 280 physical qubits.

Significance

This work has profound implications for the field of quantum computing. It provides the first clear demonstration that error-corrected logical qubits can outperform physical qubits in algorithmic tasks, validating the central promise of quantum error correction. The use of neutral-atom arrays offers a scalable platform with high connectivity and programmability, which is essential for building large-scale quantum computers. The demonstration of multiple error correction codes and complex logical operations paves the way for fault-tolerant quantum computation, which could revolutionize fields such as cryptography, materials science, and drug discovery. For the AI community, this work opens the possibility of using quantum processors for machine learning tasks that require quantum advantage, such as quantum simulation and optimization. The path towards large-scale logical processors is now clearer, and this paper sets a new benchmark for the field.