3 papers
quant-ph2025
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…
quant-ph2024
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…
quant-ph2024
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…