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arxiv: 2408.04126 · v3 · pith:GASO2VEN · submitted 2024-08-07 · quant-ph

Linear-optical quantum computation with arbitrary error-correcting codes

Blayney W. Walshe , Ben Q. Baragiola , Hugo Ferretti , Jos\'e Gefaell , Michael Vasmer , Ryohei Weil , Takaya Matsuura , Thomas Jaeken
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Giacomo Pantaleoni Zhihua Han Timo Hillmann Nicolas C. Menicucci Ilan Tzitrin Rafael N. Alexander
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classification quant-ph
keywords codesquantumarbitrarylinear-opticalsurfacearchitecturebetterbias
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High-rate quantum error correcting codes mitigate the imposing scale of fault-tolerant quantum computers but require efficient generation of non-local, many-body entanglement. We provide a linear-optical architecture with these properties, compatible with arbitrary codes and Gottesman-Kitaev-Preskill qubits on generic lattices, and featuring a natural way to leverage physical noise bias. Simulations of hyperbolic surface codes and bivariate bicycle codes, promising families of quantum low-density parity-check codes, reveal a threshold comparable to the 2D surface code with substantially better encoding rates.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Handbook of Error-Correcting Codes

    quant-ph 2026-06 unverdicted novelty 2.0

    The paper compiles a curated handbook reference of error-correcting codes, their symbol-based classifications, and interrelations with mathematical objects and physical phases.