Quantum computing is scalable on a planar array of qubits with fabrication defects

Strikis, Armands; Benjamin, Simon C.; Brown, B. R.

doi:10.48550/arxiv.2111.06432

Cited by 2 publications

(1 citation statement)

References 54 publications

(116 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Of course, this is a feature of the round-shape shuttling track rather than of pipelining, and it can be prevented by having a zigzag shuttling track instead of a loop. It is also worth noting that even without pipelining, we might want to stagger X and Z checks anyway since it can improve code performance by preventing error propagations and/or help with combating special kinds of errors [27][28][29][30].…”

Section: B Surface Codesmentioning

confidence: 99%

Looped Pipelines Enabling Effective 3D Qubit Lattices in a Strictly 2D Device

Cai¹,

Siegel²,

Benjamin³

2022

Preprint

View full text Add to dashboard Cite

Many quantum computing platforms are based on a fundamentally two-dimensional physical layout. However, there are advantages (for example in fault-tolerant systems) to having a 3D architecture. Here we explore a concept called looped pipelines which permits one to obtain many of the advantages of a 3D lattice while operating a strictly 2D device. The concept leverages qubit shuttling, a well-established feature in platforms like semiconductor spin qubits and trappedion qubits. The looped pipeline architecture has similar hardware requirements to other shuttling approaches, but can process a stack of qubit arrays instead of just one. Simple patterns of intra-and inter-loop interactions allow one to embody diverse schemes from NISQ-era error mitigation through to fault-tolerant codes. For the former, protocols involving multiple states can be implemented with a similar space-time resource as preparing one noisy copy. For the latter, one can realise a far broader variety of code structures; in particular, we consider a stack of 2D codes within which transversal CNOTs are available. We find that this can achieve a cost saving of up to a factor of ∼ 80 in the space-time overhead for magic state distillation (and a factor of ∼ 200 with modest additional hardware). Using numerical modelling and experimentally-motivated noise models we verify that the looped pipeline approach provides these benefits without significant reduction in the code's threshold.

show abstract

Section: B Surface Codesmentioning

confidence: 99%

Looped Pipelines Enabling Effective 3D Qubit Lattices in a Strictly 2D Device

Cai¹,

Siegel²,

Benjamin³

2022

Preprint

View full text Add to dashboard Cite

show abstract

Adaptive surface code for quantum error correction in the presence of temporary or permanent defects

Siegel

Strikis

Flatters

et al. 2023

Quantum

View full text Add to dashboard Cite

Whether it is at the fabrication stage or during the course of the quantum computation, e.g. because of high-energy events like cosmic rays, the qubits constituting an error correcting code may be rendered inoperable. Such defects may correspond to individual qubits or to clusters and could potentially disrupt the code sufficiently to generate logical errors. In this paper, we explore a novel adaptive approach for surface code quantum error correction on a defective lattice. We show that combining an appropriate defect detection algorithm and a quarantine of the identified zone allows one to preserve the advantage of quantum error correction at finite code sizes, at the cost of a qubit overhead that scales with the size of the defect. Our numerics indicate that the code's threshold need not be significantly affected; for example, for a certain scenario where small defects repeatedly arise in each logical qubit, the noise threshold is 2.7% (versus the defect-free case of 2.9%). These results pave the way to the experimental implementation of large-scale quantum computers where defects will be inevitable.

show abstract

Quantum computing is scalable on a planar array of qubits with fabrication defects

Cited by 2 publications

References 54 publications

Looped Pipelines Enabling Effective 3D Qubit Lattices in a Strictly 2D Device

Looped Pipelines Enabling Effective 3D Qubit Lattices in a Strictly 2D Device

Adaptive surface code for quantum error correction in the presence of temporary or permanent defects

Contact Info

Product

Resources

About