Continuous-Variable Designs and Design-Based Shadow Tomography from Random Lattices.

Authors

Jonathan Conrad, Joseph T Iosue, Ansgar G Burchards, Victor V Albert

Published in

Physical review letters. Volume 135. Issue 6. Pages 060802. Aug 08, 2025.

Abstract

We investigate state designs for continuous-variable quantum systems using the aid of latticelike quantum states. These are code states of Gottesman-Kitaev-Preskill (GKP) codes. We show that the set of all GKP states forms a rigged continuous-variable state 2-design for an n-mode system. We use these lattice state designs to construct a continuous variable shadow tomography protocol, derive sample complexity bounds for both global and local GKP shadows under reasonable physical assumptions, and provide the physical gadgets needed to implement this protocol.

PMID:
40864965
Bibliographic data and abstract were imported from PubMed on 28 Aug 2025.

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