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quant-ph2024
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…
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
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…