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

Autor:	Conrad, Jonathan, Iosue, Joseph T., Burchards, Ansgar G., Albert, Victor V.
Rok vydání:	2024
Předmět:	Quantum Physics Computer Science - Information Theory Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	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. We show that for an n-mode system, the set of all GKP states forms a rigged continuous-variable state 2-design. 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. Comment: 7+31 pages, 3 figures, comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.17909 Zobrazit plný text záznamu View this record from Arxiv