Publication

Continuous-variable Designs and Design-based Shadow Tomography From Random Lattices

Jonathan Conrad
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.

Official source

https://infoscience.epfl.ch/entities/publication/0883a7f3-3a86-495c-8042-45849281156c

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