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PreprintCC BY 4.0arXiv

Modular optical fault-tolerant quantum computation via an interface between verified resources and online logical operations

Abstract

We introduce a factory--processor interface architecture for modular optical fault-tolerant quantum computation that separates code-dependent encoded-resource preparation from reusable online logical processing on a common Gaussian optical processor. Beyond encoded resources, the interface specifies logical outputs, code-to-mode mapping, measurement roles, frame updates, verification records, and resource-injection boundaries. As a concrete realization, we combine an offline verified Bell-resource factory based on a recursively concatenated C4 code with physical Gottesman--Kitaev--Preskill (GKP) qubits with an online time-domain measurement-based quantum computation (MBQC) processor. Under the specified additive-displacement-noise model and fixed postselection policy, simulations support the finite-level logical Bell-error ordering P5<P4<P3<P2 at 12.25 dB of effective GKP displacement-noise quality, both with and without the prescribed additional post-injection displacement noise. At 15.6 dB and L=2, a separate fixed-sample evaluation gives one-sided 95% Clopper--Pearson upper bounds below 10−5 for both conditions under the binomial model. The interface supports address-tracked injection, transversal CNOT and logical Bell-measurement constructions, and logical SWAP and Hadamard constructions with tracked code permutations. Given advance resource preparation and sufficient routing parallelism, increasing the concatenation level expands parallel encoded-resource width without increasing the protected online sequence length of these constructions. These results identify a modular route to lower logical error rates while retaining a common Gaussian MBQC operation set with shallow online processing.

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BibTeX
@misc{fukui2026modular,
  title = {{Modular optical fault-tolerant quantum computation via an interface between verified resources and online logical operations}},
  author = {Kosuke Fukui and Takaya Matsuura and Yohji Chin and Shohei Kiryu and Takaya Hoshi and Kan Takase and Warit Asavanant},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32838},
  eprint = {2610.32838},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32838},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Modular optical fault-tolerant quantum computation via an interface between verified resources and online logical operations
AU  - Kosuke Fukui
AU  - Takaya Matsuura
AU  - Yohji Chin
AU  - Shohei Kiryu
AU  - Takaya Hoshi
AU  - Kan Takase
AU  - Warit Asavanant
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32838
UR  - https://arxiv.org/abs/2610.32838
AB  - We introduce a factory--processor interface architecture for modular optical fault-tolerant quantum computation that separates code-dependent encoded-resource preparation from reusable online logical processing on a common Gaussian optical processor. Beyond encoded resources, the interface specifies logical outputs, code-to-mode mapping, measurement roles, frame updates, verification records, and resource-injection boundaries. As a concrete realization, we combine an offline verified Bell-resource factory based on a recursively concatenated C_4 code with physical Gottesman--Kitaev--Preskill (GKP) qubits with an online time-domain measurement-based quantum computation (MBQC) processor. Under the specified additive-displacement-noise model and fixed postselection policy, simulations support the finite-level logical Bell-error ordering P_5<P_4<P_3<P_2 at 12.25 dB of effective GKP displacement-noise quality, both with and without the prescribed additional post-injection displacement noise. At 15.6 dB and L=2, a separate fixed-sample evaluation gives one-sided 95% Clopper--Pearson upper bounds below 10^−5 for both conditions under the binomial model. The interface supports address-tracked injection, transversal CNOT and logical Bell-measurement constructions, and logical SWAP and Hadamard constructions with tracked code permutations. Given advance resource preparation and sufficient routing parallelism, increasing the concatenation level expands parallel encoded-resource width without increasing the protected online sequence length of these constructions. These results identify a modular route to lower logical error rates while retaining a common Gaussian MBQC operation set with shallow online processing.
ER  -