Researchers are tackling the substantial challenge of building practical, low-overhead quantum computers. Paul Webster, Lucas Berent, and Omprakash Chandra, all from Iceberg Quantum, alongside Evan T. Hockings, Nouédyn Baspin, Felix Thomsen, Samuel C. Smith, and Lawrence Z. Cohen, present the ‘Pinnacle Architecture’, a novel approach utilising quantum low-density parity-check (QLDPC) codes. This architecture enables universal quantum computation with a spacetime overhead demonstrably lower than existing designs. Their work demonstrates that factoring 2048-bit RSA integers requires fewer than one hundred thousand physical qubits, assuming a physical error rate, code cycle time of microseconds and a reaction time of microseconds. This represents a significant advance, potentially reducing the qubit count needed for utility-scale quantum computing by an order of magnitude and bringing the prospect of practical quantum computation closer to reality.
Unlike previous approaches, the Pinnacle Architecture achieves a significantly lower spacetime overhead, facilitating more practical quantum computers. The architecture’s efficiency stems from its ability to perform arbitrary logical operations with minimal overhead and its reliance on localised connectivity between qubits. This modular design ensures scalability and compatibility with existing and near-future hardware platforms. Researchers benchmarked the Pinnacle Architecture by simulating the factoring of 2048-bit RSA integers, surpassing the best previously published resource estimates by an order of magnitude. Furthermore, the study demonstrates the potential to model complex materials science problems, such as determining the ground-state energy of the Fermi-Hubbard model, with tens of thousands of physical qubits, representing a substantial improvement over existing methods. Resource estimates reveal that factoring 2048-bit RSA integers requires fewer than one hundred thousand physical qubits under specific conditions, assuming a physical error rate of 10⁻³, a code cycle time of 1s and a reaction time of 10s. This calculation represents a significant reduction compared to the previously established requirement of approximately one million physical qubits. Analysis of the Fermi-Hubbard model indicates that determining the ground-state energy at a lattice size of L = 16 and a coupling strength of u/τ = 4 necessitates only 62,000 physical qubits with a physical error rate of 10⁻³ or 22,000 qubits at a rate of 10⁻⁴. These figures represent substantial improvements over previous surface code analyses, which required 940,000 and 200,000 qubits respectively for the same parameters. Maintaining a runtime per shot of between 1 and 4 minutes is achievable with microsecond code cycle times, or extending to 1, 3 days with millisecond cycles. The study details efficient spacetime trade-offs achieved through algorithm parallelisation, enabling low-overhead factoring even with extended code cycle times; for instance, factoring can be completed within one month using 3.1 million physical qubits at a physical error rate of 10⁻⁴, or 13 million qubits at a rate of 10⁻³. These results are based on an instantiation of the Pinnacle Architecture utilising generalised bicycle codes and efficient measurement gadgets. A modular architecture, termed the Pinnacle Architecture, leverages QLDPC codes to minimise spacetime overhead for universal quantum computation. Central to the design are processing units constructed from bridged processing blocks, each built around a QLDPC code block coupled with an ancillary measurement gadget system. This arrangement facilitates the performance of arbitrary logical Pauli product measurements on the logical qubits within each logical cycle, providing a versatile platform for quantum operations. Crucially, the study introduces a novel magic engine component, integrated with a QLDPC code block and ancillary systems, to simultaneously support both magic state distillation and injection, maintaining a constant throughput of high-fidelity magic states while minimising overhead. Furthermore, the researchers implemented Clifford frame cleaning, a technique enabling efficient parallelism of operations across processing units, allowing for parallel access to quantum memory. Scalability is ensured through a modular structure that limits the required connectivity between physical qubits to a length scale independent of the number of logical qubits. The long-held ambition of building a genuinely useful quantum computer has often felt tethered to an ever-receding horizon of qubit numbers. This work suggests that the horizon is closer than previously thought, not by squeezing more performance from existing architectures, but by fundamentally rethinking how they are built. While this does not eliminate the need for error correction, it reshapes the landscape, suggesting that practical quantum computation might be achievable with resources within reach. However, the reported performance relies on specific assumptions about error rates, code cycle times, and reaction times, parameters that remain challenging to achieve consistently in real-world hardware. Furthermore, the complexity of implementing and decoding these low-density parity check codes is substantial, requiring sophisticated control systems and potentially introducing new sources of error. Looking ahead, the focus will likely shift towards validating these theoretical gains in physical systems, anticipating a surge in research exploring optimised code construction, efficient decoding algorithms, and the integration of this architecture with existing qubit technologies. This work isn’t just about fewer qubits; it’s about a new direction for building them into something truly powerful.
👉 More information
🗞 The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
🧠 ArXiv: https://arxiv.org/abs/2602.11457
