Kavli Affiliate: Eliska Greplova
| First 5 Authors: Christian Kraglund Andersen, Christian Kraglund Andersen, , ,
| Summary:
It is widely accepted that quantum error correction is essential for
realizing large-scale fault-tolerant quantum computing. Recent experiments have
demonstrated error correction codes operating below threshold, primarily using
local planar codes such as the surface code and color code. In parallel,
theoretical advances in quantum low-density parity-check (LDPC) codes promise
significantly lower overheads, albeit at the cost of requiring non-local parity
checks. While these results are encouraging, implementing such codes remains
challenging for near-term experiments, creating obstacles to holistic
benchmarking of hardware architectures capable of supporting long-range
couplers. In this work, we present a simple construction recipe for small
quantum LDPC codes based on recent developments in the field. Our codes are
approximately twice as efficient as comparable surface codes, yet require only
weight-four parity checks, which simplifies experimental realization compared
to other quantum LDPC codes. We provide concrete proposals for implementations
with superconducting qubits in flip-chip architectures and with semiconductor
spin qubits using shuttling-based approaches.
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