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Open Quantum Systems Decoherence
Continuous-variable designs and design-based shadow tomography from random lattices
arXiv
Authors: Jonathan Conrad, Joseph T. Iosue, Ansgar G. Burchards, Victor V. Albert
Year
2024
Paper ID
60399
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2024 reference point for readers tracking recent quantum research.
- We investigate state designs for continuous-variable quantum systems using the aid of lattice-like quantum states.
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