Fault-tolerant measurement-free quantum error correction with multiqubit gates

Perlin, Michael A.; Premakumar, Vickram N.; Wang, Jiakai; Saffman, Mark; Joynt, Robert

doi:10.1103/physreva.108.062426

Cited by 6 publications

(1 citation statement)

References 33 publications

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“…Regarding quantum error correction, most schemes require mid-circuit measurements and real-time feedback, a procedure which has been demonstrated lately with NAs [8,83,84] but remains challenging. Therefore, progress on measurement-free fault-tolerant quantum error correction might be promising for NAs [95][96][97]. Also, the possibility of using atom-photon interactions has been discussed lately [98,99], allowing for photonic interconnects on long distances.…”

Section: Fault-tolerant Qc and Error Correctionmentioning

confidence: 99%

Computational capabilities and compiler development for neutral atom quantum processors—connecting tool developers and hardware experts

Schmid,

Locher,

Rispler

et al. 2024

Quantum Sci. Technol.

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Neutral Atom Quantum Computing (NAQC) emerges as a promising hardware platform primarily due to its long coherence times and scalability. Additionally, NAQC offers computational advantages encompassing potential long-range connectivity, native multi-qubit gate support, and the ability to physically rearrange qubits with high fidelity. However, for the successful operation of a NAQC processor, one additionally requires new software tools to translate high-level algorithmic descriptions into a hardware executable representation, taking maximal advantage of the hardware capabilities. Realizing new software tools requires a close connection between tool developers and hardware experts to ensure that the corresponding software tools obey the corresponding physical constraints. This work aims to provide a basis to establish this connection by investigating the broad spectrum of capabilities intrinsic to the NAQC platform and its implications on the compilation process. To this end, we first review the physical background of NAQC and derive how it affects the overall compilation process by formulating suitable constraints and figures of merit. We then provide a summary of the compilation process and discuss currently available software tools in this overview. Finally, we present selected case studies and employ the discussed figures of merit to evaluate the different capabilities of NAQC and compare them between two hardware setups.

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Section: Fault-tolerant Qc and Error Correctionmentioning

confidence: 99%

Computational capabilities and compiler development for neutral atom quantum processors—connecting tool developers and hardware experts

Schmid,

Locher,

Rispler

et al. 2024

Quantum Sci. Technol.

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Quantum computer error structure probed by quantum error correction syndrome measurements

Gicev,

Hollenberg,

Usman

2024

Phys. Rev. Research

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With quantum devices rapidly approaching qualities and scales needed for fault tolerance, the validity of simplified error models underpinning the study of quantum error correction needs to be experimentally evaluated. In this work, we have assessed the performance of IBM superconducting quantum computer devices implementing heavy-hexagon code syndrome measurements with circuit sizes up to 23 qubits, against the error assumptions underpinning code threshold calculations. Circuit operator change rate statistics in the presence of depolarizing and biased noise were modeled using analytic functions of error model parameters. Data from 16 repeated syndrome measurement cycles were found to be inconsistent with a uniform depolarizing noise model, with slightly improved fits found with biased and inhomogeneous noise models. Spatial-temporal correlations investigated via Z stabilizer measurements revealed significant temporal correlation in detection events. These results highlight the nontrivial structure that may be present in the noise of quantum error correction circuits, revealed by operator measurement statistics, and support the development of noise-tailored codes and decoders to adapt. Published by the American Physical Society 2024

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Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms

Veroni,

Müller,

Giudice

2024

Phys. Rev. Research

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A major challenge in performing quantum error correction (QEC) is implementing reliable measurements and conditional feed-forward operations. In quantum computing platforms supporting unconditional qubit resets, or a constant supply of fresh qubits, alternative schemes which do not require measurements are possible. In such schemes, the error correction is realized via crafted coherent quantum feedback. We propose implementations of small measurement-free QEC schemes, which are fault tolerant to circuit-level noise. These implementations are guided by several heuristics to achieve fault tolerance: redundant syndrome information is extracted, and additional single-shot flag qubits are used. By carefully designing the circuit, the additional overhead of these measurement-free schemes is moderate compared to their conventional measurement and feed-forward counterparts. We highlight how this alternative approach paves the way towards implementing resource-efficient measurement-free QEC on neutral-atom arrays. Published by the American Physical Society 2024

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Fault-tolerant measurement-free quantum error correction with multiqubit gates

Cited by 6 publications

References 33 publications

Computational capabilities and compiler development for neutral atom quantum processors—connecting tool developers and hardware experts

Computational capabilities and compiler development for neutral atom quantum processors—connecting tool developers and hardware experts

Quantum computer error structure probed by quantum error correction syndrome measurements

Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms

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