Enhanced noise resilience of the surface–Gottesman-Kitaev-Preskill code via designed bias

Hänggli, Lisa; Heinze, Margret; König, Robert

doi:10.1103/physreva.102.052408

Cited by 39 publications

(48 citation statements)

References 34 publications

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“…In our noise model, this corresponds to the limit of no swap-outs, i.e., p 0 = 0. Similar simulations have been carried out in previous works for the toric-GKP code [89] and the surface-GKP code [7,90]. We We use the fitting procedure described in [122] to systematically obtain our threshold estimate (dashed vertical line).…”

Section: Threshold Resultsmentioning

confidence: 99%

“…In particular, as we learn more about the structure of noise in realistic GKP-based computation, this opens the possibility of devising better outer encodings that are tailored for the specific noise structure. Furthermore, noise-tailoring along the lines of [90] may provide substantial enhancement to the thresholds obtained in our hybrid architecture.…”

Section: Open Problemsmentioning

confidence: 96%

“…The discussion in the previous section deals with cluster states composed of qubits, which can include qubits encoded in bosonic modes. This two-layer encoding can be seen as a bosonic code concatenated with a topological code, a subject of growing interest [7,22,23,[89][90][91][92].…”

Section: Bosonic Codes Concatenated With Topological Codes For Quantum Computationmentioning

confidence: 99%

“…An improved threshold for the surface-GKP code was obtained in Ref. [90] by designing bias in the noise.…”

Section: Bosonic Codes Concatenated With Topological Codes For Quantum Computationmentioning

confidence: 99%

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Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Bourassa

Alexander

Vasmer

et al. 2021

Quantum

218

202

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Photonics is the platform of choice to build a modular, easy-to-network quantum computer operating at room temperature. However, no concrete architecture has been presented so far that exploits both the advantages of qubits encoded into states of light and the modern tools for their generation. Here we propose such a design for a scalable fault-tolerant photonic quantum computer informed by the latest developments in theory and technology. Central to our architecture is the generation and manipulation of three-dimensional resource states comprising both bosonic qubits and squeezed vacuum states. The proposal exploits state-of-the-art procedures for the non-deterministic generation of bosonic qubits combined with the strengths of continuous-variable quantum computation, namely the implementation of Clifford gates using easy-to-generate squeezed states. Moreover, the architecture is based on two-dimensional integrated photonic chips used to produce a qubit cluster state in one temporal and two spatial dimensions. By reducing the experimental challenges as compared to existing architectures and by enabling room-temperature quantum computation, our design opens the door to scalable fabrication and operation, which may allow photonics to leap-frog other platforms on the path to a quantum computer with millions of qubits.

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Section: Threshold Resultsmentioning

confidence: 99%

Section: Open Problemsmentioning

confidence: 96%

Section: Bosonic Codes Concatenated With Topological Codes For Quantum Computationmentioning

confidence: 99%

“…An improved threshold for the surface-GKP code was obtained in Ref. [90] by designing bias in the noise.…”

Section: Bosonic Codes Concatenated With Topological Codes For Quantum Computationmentioning

confidence: 99%

See 2 more Smart Citations

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Bourassa

Alexander

Vasmer

et al. 2021

Quantum

218

202

View full text Add to dashboard Cite

show abstract

“…, which is larger than the size of shifts that are correctable by the square lattice GKP code [49,75]. A recent work has also explored the rectangular GKP code [80]. More generally, a multi-mode GKP code can be defined over any symplectic lattice [81].…”

Section: Translation-symmetric Codes: Gkp Codesmentioning

confidence: 99%

Quantum information processing with bosonic qubits in circuit QED

Joshi

Noh²,

Gao³

2021

Quantum Sci. Technol.

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The unique features of quantum theory offer a powerful new paradigm for information processing. Translating these mathematical abstractions into useful algorithms and applications requires quantum systems with significant complexity and sufficiently low error rates. Such quantum systems must be made from robust hardware that can coherently store, process, and extract the encoded information, as well as possess effective quantum error correction (QEC) protocols to detect and correct errors. Circuit quantum electrodynamics (cQED) provides a promising hardware platform for implementing robust quantum devices. In particular, bosonic encodings in cQED that use multi-photon states of superconducting cavities to encode information have shown success in realizing hardware-efficient QEC. Here, we review recent developments in the theory and implementation of QEC with bosonic codes and report the progress made toward realizing fault-tolerant quantum information processing with cQED devices.

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Quantum Computation with Continuous-Variable Systems

Matsuura

2023

Springer Theses

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Enhanced noise resilience of the surface–Gottesman-Kitaev-Preskill code via designed bias

Cited by 39 publications

References 34 publications

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Quantum information processing with bosonic qubits in circuit QED

Quantum Computation with Continuous-Variable Systems

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