Continuous-variable designs and design-based shadow tomography from random lattices

J Conrad, JT Iosue, AG Burchards, VV Albert - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

A correspondence between quantum error correcting codes and quantum reference frames

S Carrozza, A Chatwin-Davies, PA Hoehn… - arXiv preprint arXiv …, 2024 - arxiv.org
In a gauge theory, a collection of kinematical degrees of freedom is used to redundantly
describe a smaller amount of gauge-invariant information. In a quantum error correcting …

An access model for quantum encoded data

M Murça, PK Faehrmann, Y Omar - arXiv preprint arXiv:2412.01889, 2024 - arxiv.org
We introduce and investigate a data access model (approximate sample and query) that is
satisfiable by the preparation and measurement of block encoded states, as well as in …

Correction of circuit faults in a stacked quantum memory using rank-metric codes

N Delfosse, G Zémor - arXiv preprint arXiv:2411.09173, 2024 - arxiv.org
We introduce a model for a stacked quantum memory made with multi-qubit cells, inspired
by multi-level flash cells in classical solid-state drive, and we design quantum error …