Tricycle codes generalize bicycle codes to three homological dimensions, enabling constant-depth CCZ circuits and single-shot magic state generation with circuit-level thresholds above 0.5% and low error rates at block lengths of 50-100 qubits.
Title resolution pending
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
citation-role summary
background 2
method 1
citation-polarity summary
fields
quant-ph 8representative citing papers
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.
CAbLECAR provides a robotics-inspired shuttle scheduler that enables QLDPC codes on tileable spin-qubit hardware, yielding up to 86% faster schedules and orders-of-magnitude gains in encoding efficiency and logical error rates over surface codes.
A programmable 2D toric oscillator network enables efficient routing for bivariate bicycle LDPC codes, reducing long-range couplers to O(sqrt(n)) and achieving 3.06% logical error rate per cycle in simulations for the [[18,4,4]] code.
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.
Repurposing ancilla qubits for both magic-state cultivation and routing improves lattice-surgery schedule efficiency by 19-223% over dedicated-bus routing in simulations.
Proposes QLOPS as an integrated benchmarking metric for FTQC hardware that factors in code rates, decoder throughput, latency, and accuracy, illustrated via RSA-2048 factoring resource estimates.
Simulations show non-local CNOT achieves up to 10x lower logical error than teleportation and distributed qLDPC needs d≈11 at p=10^{-4} or d≈29 at p=10^{-3} (with p_ebit=10p) for <10^{-12} error.
citing papers explorer
-
Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.