Advances in bosonic quantum error correction with Gottesman–Kitaev–Preskill Codes: Theory, engineering and applications

AJ Brady, A Eickbusch, S Singh, J Wu… - Progress in Quantum …, 2024 - Elsevier
Encoding quantum information into a set of harmonic oscillators is considered a hardware
efficient approach to mitigate noise for reliable quantum information processing. Various …

Quantum error correction of a qubit encoded in grid states of an oscillator

P Campagne-Ibarcq, A Eickbusch, S Touzard… - Nature, 2020 - nature.com
The accuracy of logical operations on quantum bits (qubits) must be improved for quantum
computers to outperform classical ones in useful tasks. One method to achieve this is …

Blueprint for a scalable photonic fault-tolerant quantum computer

JE Bourassa, RN Alexander, M Vasmer, A Patil… - Quantum, 2021 - quantum-journal.org
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 …

Topological and subsystem codes on low-degree graphs with flag qubits

C Chamberland, G Zhu, TJ Yoder, JB Hertzberg… - Physical Review X, 2020 - APS
In this work we introduce two code families, which we call the heavy-hexagon code and the
heavy-square code. Both code families are implemented by assigning physical data and …

Quantum information processing with bosonic qubits in circuit QED

A Joshi, K Noh, YY Gao - Quantum Science and Technology, 2021 - iopscience.iop.org
The unique features of quantum theory offer a powerful new paradigm for information
processing. Translating these mathematical abstractions into useful algorithms and …

Quantum error correction with the Gottesman-Kitaev-Preskill code

AL Grimsmo, S Puri - PRX Quantum, 2021 - APS
The Gottesman-Kitaev-Preskill (GKP) code was proposed in 2001 by Daniel Gottesman,
Alexei Kitaev, and John Preskill as a way to encode a qubit in an oscillator. The GKP …

Resource-efficient quantum computing by breaking abstractions

Y Shi, P Gokhale, P Murali, JM Baker… - Proceedings of the …, 2020 - ieeexplore.ieee.org
Building a quantum computer that surpasses the computational power of its classical
counterpart is a great engineering challenge. Quantum software optimizations can provide …

Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code

K Noh, C Chamberland - Physical Review A, 2020 - APS
Bosonic quantum error correction is a viable option for realizing error-corrected quantum
information processing in continuous-variable bosonic systems. Various single-mode …

Quantum computing with rotation-symmetric bosonic codes

AL Grimsmo, J Combes, BQ Baragiola - Physical Review X, 2020 - APS
Bosonic rotation codes, introduced here, are a broad class of bosonic error-correcting codes
based on phase-space rotation symmetry. We present a universal quantum computing …

Towards scalable bosonic quantum error correction

BM Terhal, J Conrad, C Vuillot - Quantum Science and …, 2020 - iopscience.iop.org
We review some of the recent efforts in devising and engineering bosonic qubits for
superconducting devices, with emphasis on the Gottesman–Kitaev–Preskill (GKP) qubit. We …