2 citations · 5 across the 5 of their papers we have counts for
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The fabulous world of GKP codes
Jonathan Conrad
Quantum error correction is an essential ingredient in the development of quantum technologies. Its subject is to investigate ways to embed quantum Hilbert spaces into a physical s…
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…
Chasing shadows with Gottesman-Kitaev-Preskill codes
Jonathan Conrad, Jens Eisert, Steven T. Flammia
We consider the task of performing shadow tomography of a logical subsystem defined via the Gottesman-Kitaev-Preskill (GKP) error correcting code. Our protocol does not require the…
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…
Lattices, Gates, and Curves: GKP codes as a Rosetta stone
Jonathan Conrad, Ansgar G. Burchards, Steven T. Flammia
We explain how GKP Clifford gates arise as symplectic automorphisms of the corresponding GKP lattice and show that, for scaled codes of type , their integral action agrees…