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Advances in Mathematics· 2026Q1

Discrete quantum Gaussians and central limit theorem

Kaifeng Bu, Weichen Gu, Arthur Jaffe

Short summary

Stabilizer states in discrete-variable quantum systems are analogous to Gaussian states in continuous-variable systems, termed 'discrete quantum Gaussians'. Their convolution yields another stabilizer state, and they extremize quantum entropy and Fisher information.

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Field: Statistical and Nonlinear Physics

Statistical and Nonlinear PhysicsPhysics and Astronomy