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 …

Encoding qubits in multimode grid states

B Royer, S Singh, SM Girvin - PRX Quantum, 2022 - APS
Encoding logical quantum information in harmonic oscillator modes is a promising and
hardware-efficient approach to the realization of a quantum computer. In this work, we …

All-optical quantum computing using cubic phase gates

N Budinger, A Furusawa, P van Loock - Physical Review Research, 2024 - APS
If suitable quantum optical interactions were available, transforming the field mode operators
in a nonlinear fashion, the all-photonics platform could be one of the strongest contenders …

Learning Quantum Circuits of Some T Gates

CY Lai, HC Cheng - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
In this paper, we study the problem of learning an unknown quantum circuit of a certain
structure. If the unknown target is an-qubit Clifford circuit, we devise an efficient algorithm to …

Qubit-oscillator concatenated codes: Decoding formalism and code comparison

Y Xu, Y Wang, EJ Kuo, VV Albert - PRX Quantum, 2023 - APS
Concatenating bosonic error-correcting codes with qubit codes can substantially boost the
error-correcting power of the original qubit codes. It is not clear how to concatenate …

Closest lattice point decoding for multimode Gottesman-Kitaev-Preskill codes

M Lin, C Chamberland, K Noh - PRX Quantum, 2023 - APS
Quantum error correction (QEC) plays an essential role in fault-tolerantly realizing quantum
algorithms of practical interest. Among different approaches to QEC, encoding logical …

Analog Information Decoding of Bosonic Quantum Low-Density Parity-Check Codes

L Berent, T Hillmann, J Eisert, R Wille, J Roffe - PRX Quantum, 2024 - APS
Quantum error correction is crucial for scalable quantum information-processing
applications. Traditional discrete-variable quantum codes that use multiple two-level …

Error-corrected quantum repeaters with Gottesman-Kitaev-Preskill qudits

F Schmidt, D Miller, P van Loock - Physical Review A, 2024 - APS
The Gottesman-Kitaev-Preskill (GKP) code offers the possibility to encode higher-
dimensional qudits into individual bosonic modes with, for instance, photonic excitations …

Stabilizer Subsystem Decompositions for Single-and Multimode Gottesman-Kitaev-Preskill Codes

MH Shaw, AC Doherty, AL Grimsmo - Prx Quantum, 2024 - APS
The Gottesman-Kitaev-Preskill (GKP) error-correcting code encodes a finite-dimensional
logical space in one or more bosonic modes, and has recently been demonstrated in …

Quantum error correction with higher Gottesman-Kitaev-Preskill codes: Minimal measurements and linear optics

F Schmidt, P van Loock - Physical Review A, 2022 - APS
We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by
means of linear-optical operations, homodyne measurements, and GKP ancillas. This …