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Hardware-Efficient Fault Tolerant Quantum Computing with Bosonic Grid States in Superconducting Circuits

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arxiv 2409.05813 v1 pith:S25P3JFL submitted 2024-09-09 quant-ph

classification quant-ph
keywords quantumcomputingbosoniccircuitserrorfaultfault-tolerantgrid
verification ladder T0 review T1 audit T2 compute T3 formal

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Quantum computing holds the promise of solving classically intractable problems. Enabling this requires scalable and hardware-efficient quantum processors with vanishing error rates. This perspective manuscript describes how bosonic codes, particularly grid state encodings, offer a pathway to scalable fault-tolerant quantum computing in superconducting circuits. By leveraging the large Hilbert space of bosonic modes, quantum error correction can operate at the single physical unit level, therefore reducing drastically the hardware requirements to bring fault-tolerant quantum computing to scale. Going beyond the well-known Gottesman-Kitaev-Preskill (GKP) code, we discuss how using multiple bosonic modes to encode a single qubit offers increased protection against control errors and enhances its overall error-correcting capabilities. Given recent successful demonstrations of critical components of this architecture, we argue that it offers the shortest path to achieving fault tolerance in gate-based quantum computing processors with a MHz logical clock rate.

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Forward citations

Cited by 5 Pith papers

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

  1. Performance of rotation-symmetric bosonic codes in the presence of random telegraph noise

    quant-ph 2025-05 conditional novelty 7.0 of 10

    Rotation-symmetric bosonic codes keep error-corrected gate fidelities above break-even under random telegraph noise, while the BLP non-Markovianity measure grows linearly with code symmetry and is unbounded for non-Ga...

  2. Quantum error correction of a grid-state qubit with state preparation and measurement errors below $10^{-3}$

    quant-ph 2026-07 accept novelty 6.0 of 10

    Postselected sBs stabilization plus repeated finite-energy measurements yield single-mode GKP SPAM error below 10^{-3} (two orders better than prior art) while remaining compatible with autonomous QEC.

  3. Designing toroidal cavities for quantum computation

    quant-ph 2025-06 conditional novelty 5.0 of 10

    Toroidal microwave cavities are shown by simulation and one room-temperature measurement to host parity-split TE modes and a dark TM010 mode, proposed as an ultrahigh-Q quantum memory.

  4. Linear-optical protocols for mitigating and suppressing noise in bosonic systems

    quant-ph 2024-11 conditional novelty 5.0 of 10

    Photonic circuits with photon subtraction and vacuum measurements can asymptotically invert thermal, displacement, and dephasing noise on bosonic codes, enabling error mitigation and suppression without nonlinear elements.

  5. Quantum Resilience: Canadian Innovations in Quantum Error Correction and Quantum Error Mitigation

    quant-ph 2025-05 unverdicted novelty 1.0 of 10

    This review surveys Canadian work in quantum error correction and error mitigation and claims Canada holds a leading role in both fields.

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