142 citations · 195 across the 5 of their papers we have counts for
5 papers
Good Gottesman-Kitaev-Preskill codes from the NTRU cryptosystem
Jonathan Conrad, Jens Eisert, Jean-Pierre Seifert
We introduce a new class of random Gottesman-Kitaev-Preskill (GKP) codes derived from the cryptanalysis of the so-called NTRU cryptosystem. The derived codes are good in that they…
Gottesman-Kitaev-Preskill codes: A lattice perspective
Jonathan Conrad, Jens Eisert, Francesco Arzani
We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in…
Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing
Jonathan Conrad
I introduce an energy constrained approximate twirling operation that can be used to diagonalize effective logical channels in GKP quantum error correction, project states into the…
Towards Scalable Bosonic Quantum Error Correction
Barbara M. Terhal, Jonathan Conrad, Christophe Vuillot
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 present…
The Small Stellated Dodecahedron Code and Friends
Jonathan Conrad, Christopher Chamberland, Nikolas P. Breuckmann +1
We explore a distance-3 homological CSS quantum code, namely the small stellated dodecahedron code, for dense storage of quantum information and we compare its performance with the…