5 papers
Enlarging the GKP stabilizer group for enhanced noise protection
Jonathan Pelletier, Baptiste Royer
Encoding a qubit in a larger Hilbert space of an oscillator is an efficient way to protect its quantum information against decoherence. Promising examples of such bosonic encodings…
Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes
Maxence Mayrand, Baptiste Royer
We study a class of quantum error-correcting codes through the geometry of complex abelian varieties. These codes, introduced by Gottesman--Kitaev--Preskill, are built from symplec…
Non-Abelian Quantum Signal Processing: A Composite Pulse for Fast Analytic Control of Hybrid Oscillator-Qubit Processors
Shraddha Singh, Baptiste Royer, Steven M. Girvin
Quantum Signal Processing (QSP) transforms a unitary parameterized by a classical variable into one governed by a polynomial function . Though quantum mechanics is line…
Decoding Multimode Gottesman-Kitaev-Preskill Codes with Noisy Auxiliary States
Marc-Antoine Roy, Thomas Pousset, Baptiste Royer
In order to achieve fault-tolerant quantum computing, we make use of quantum error correction schemes designed to protect the logical information of the system from decoherence. A…
Using a Kerr interaction for GKP magic state preparation
Jérémie Boudreault, Ross Shillito, Jean-Baptiste Bertrand +1
Magic state distillation and injection is a promising strategy towards universal fault tolerant quantum computation, especially in architectures based on the bosonic Gottesman-Kita…