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 …

Conditional-not Displacement: Fast Multioscillator Control with a Single Qubit

AA Diringer, E Blumenthal, A Grinberg, L Jiang… - Physical Review X, 2024 - APS
Bosonic encoding is an approach for quantum information processing, promising lower
hardware overhead by encoding in the many levels of a harmonic-oscillator mode. Scaling …

Introduction to quantum error correction and fault tolerance

SM Girvin - SciPost Physics Lecture Notes, 2023 - scipost.org
These lecture notes from the 2019 Les Houches Summer School on" Quantum Information
Machines" are intended to provide an introduction to classical and quantum error correction …

Experimental realization and characterization of stabilized pair-coherent states

JM Gertler, S van Geldern, S Shirol, L Jiang, C Wang - PRX Quantum, 2023 - APS
The pair-coherent state (PCS) is a theoretical extension of the Glauber coherent state to two
harmonic oscillators. It is an interesting class of non-Gaussian continuous-variable …

Autonomous quantum error correction of Gottesman-Kitaev-Preskill states

D Lachance-Quirion, MA Lemonde, JO Simoneau… - Physical Review Letters, 2024 - APS
The Gottesman-Kitaev-Preskill (GKP) code encodes a logical qubit into a bosonic system
with resilience against single-photon loss, the predominant error in most bosonic systems …

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 …

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 …

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 …

Gottesman-Kitaev-Preskill encoding in continuous modal variables of single photons

É Descamps, A Keller, P Milman - Physical Review Letters, 2024 - APS
GKP states, introduced by Gottesman, Kitaev, and Preskill, are continuous variable logical
qubits that can be corrected for errors caused by phase space displacements. Their …