ImageNet classification with deep convolutional neural networks
Alex Krizhevsky, Ilya Sutskever et al.
1.5k
Citations
88
Influential Citations
Nature
Venue
2023
Year
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.
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.
The paper reports several concrete metrics:
These results demonstrate that logical encoding provides a clear advantage over physical qubits, even at the current scale of 280 physical qubits.
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.
Alex Krizhevsky, Ilya Sutskever et al.
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