PIQC proposes a distributed FTQC architecture based on molecular quantum nodes with photonic integration, nuclear registers, loss-tolerant entanglement, and Floquetified qLDPC codes.
Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Quantum error correction is widely believed to be essential for large-scale quantum computation, but the required qubit overhead remains a central challenge. Quantum low-density parity-check codes can substantially reduce this overhead through high-rate encodings, yet finite-size instances with practical logical error rates often achieve encoding rates only around or below $1/10$. Here, building on a recent ultra-high-rate construction by Kasai, we identify new structural conditions on the underlying affine permutation matrices that make encoding rates exceeding $1/2$ compatible with efficient implementation on reconfigurable neutral atom arrays. These conditions define a co-designed family of ultra-high-rate quantum codes that supports efficient syndrome extraction and atom rearrangement under realistic parallel control constraints. Using a hierarchical decoder with high accuracy and good throughput, we study the performance under a circuit-level noise model with $p=0.1\%$, achieving per-logical-per-round error rates of $1.3_{-0.9}^{+3.0} \times 10^{-13}$ with a $[[2304,1156,\leq 14]]$ code and $2.9_{-1.5}^{+3.1} \times 10^{-11}$ with a $[[1152,580,\leq 12]]$ code. These results approach the teraquop regime, highlighting the promise of this code family for practical ultra-high-rate quantum error correction.
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quant-ph 4years
2026 4roles
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Forced-gap post-selection on bivariate bicycle codes and surgery gadgets improves logical error rates by a factor of more than 4 using Relay-BP decoding at fixed post-selection rate.
A new [[16384,4142,≤40]] quantum LDPC code family is obtained by CPM-lifting a girth-8 base CSS code, achieving frame error rate ~10^{-8} at depolarizing noise p=0.085.
A family of quantum LDPC codes with encoding rates exceeding 1/2 achieves logical error rates of 10^{-13} per round on atom arrays under 0.1% circuit noise using hierarchical decoding.
citing papers explorer
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PIQC: Scalable Distributed Quantum Computing via Photonic Integration of Designed Molecular Quantum Nodes
PIQC proposes a distributed FTQC architecture based on molecular quantum nodes with photonic integration, nuclear registers, loss-tolerant entanglement, and Floquetified qLDPC codes.
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Forced Gap Post-Selection for Quantum LDPC Codes and their Operations
Forced-gap post-selection on bivariate bicycle codes and surgery gadgets improves logical error rates by a factor of more than 4 using Relay-BP decoding at fixed post-selection rate.
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High-Girth Regular Quantum LDPC Codes from Affine-Coset Structures
A new [[16384,4142,≤40]] quantum LDPC code family is obtained by CPM-lifting a girth-8 base CSS code, achieving frame error rate ~10^{-8} at depolarizing noise p=0.085.
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Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
A family of quantum LDPC codes with encoding rates exceeding 1/2 achieves logical error rates of 10^{-13} per round on atom arrays under 0.1% circuit noise using hierarchical decoding.