Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
arXiv preprint arXiv:2504.08887 (2025)
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HAL heuristic produces explicit layouts for bivariate bicycle, tile, radial, and Tanner qLDPC codes on multilayer superconducting hardware, demonstrating that open-boundary designs reduce hardware demands with only moderate loss in logical efficiency.
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
Bunny codes are qLDPC codes found via exhaustive search that achieve ~3x higher code rate than toric codes (periodic) and ~2x over rotated surface codes (open) when using CNOT+CXSWAP on nearest-neighbor connectivity, with some showing 10x lower logical error rates in simulation.
Geometry choices in bivariate-bicycle qLDPC syndrome extraction determine leading correlated error structure via weighted exposure, which correlates strongly with logical error rates and is reduced by biplanar layouts.
citing papers explorer
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Vine Codes: Low-Overhead Quantum LDPC Codes on a Planar Square Grid
Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
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Placing and routing quantum LDPC codes in multilayer superconducting hardware
HAL heuristic produces explicit layouts for bivariate bicycle, tile, radial, and Tanner qLDPC codes on multilayer superconducting hardware, demonstrating that open-boundary designs reduce hardware demands with only moderate loss in logical efficiency.
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Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
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Bunny Codes: Broadening Superconducting Quantum Error Correction Capability through Advanced Control Engineering
Bunny codes are qLDPC codes found via exhaustive search that achieve ~3x higher code rate than toric codes (periodic) and ~2x over rotated surface codes (open) when using CNOT+CXSWAP on nearest-neighbor connectivity, with some showing 10x lower logical error rates in simulation.
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Geometry-induced correlated noise in qLDPC syndrome extraction
Geometry choices in bivariate-bicycle qLDPC syndrome extraction determine leading correlated error structure via weighted exposure, which correlates strongly with logical error rates and is reduced by biplanar layouts.