5 papers · 1 filter
Designing fault-tolerant circuits using detector error models
Peter-Jan H. S. Derks, Alex Townsend-Teague, Ansgar G. Burchards +1
Quantum error-correcting codes, such as subspace, subsystem, and Floquet codes, are typically constructed within the stabilizer formalism, which does not fully capture the idea of…
Fiber Bundle Fault Tolerance of GKP Codes
Ansgar G. Burchards, Steven T. Flammia, Jonathan Conrad
We investigate multi-mode GKP (Gottesman--Kitaev--Preskill) quantum error-correcting codes from a geometric perspective. First, we construct their moduli space as a quotient of gro…
Continuous-variable designs and design-based shadow tomography from random lattices
Jonathan Conrad, Joseph T. Iosue, Ansgar G. Burchards +1
We investigate state designs for continuous-variable quantum systems using the aid of lattice-like quantum states. These are code states of Gottesman-Kitaev-Preskill (GKP) codes. W…
Continuous-Variable Quantum MacWilliams Identities
Ansgar G. Burchards
We derive bounds on general quantum error correcting codes against the displacement noise channel. The bounds limit the distances attainable by codes and also apply in an approxima…
Lattices, Gates, and Curves: GKP codes as a Rosetta stone
Jonathan Conrad, Ansgar G. Burchards, Steven T. Flammia
Gottesman-Kitaev-Preskill (GKP) codes are a promising candidate for implementing fault tolerant quantum computation in quantum harmonic oscillator systems such as superconducting r…