The logical set of Gaussian states under the stabilizer subsystem decomposition

arXiv:2609.26898 · quant-ph · Submitted 2026-09-22 · Read on arXiv

quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Comments: 24 pages, 2 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Robustness — 10× in this paper · explained in 6 episodes
• Stabilizer States — 5× in this paper · explained in 4 episodes
• Non-Gaussianity — 4× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 4 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Supplemental Material — 1× in this paper
• Unified Framework — 1× in this paper · explained in 6 episodes

Sources

• Improved GKP magic states from error-corrected non-Gaussian quantum states
• Quantum correlations in prepare-and-measure scenarios and their semi-device-independent applications
• Resource theory of Absolute Negativity
• Randomness Certification and Trade-offs in the Prepare-and-Broadcast Scenario
• Robust Bell Nonlocality from Gottesman-Kitaev-Preskill States
• A unified framework for data-driven Bell inequalities
• Robust CHSH Self-Testing with Finite-Energy GKP States

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