Author

F. G. Jeronimo

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Preprint Sep 2026

From Random Quantum Codes to Explicit qLDPC Codes via Local Properties

Constructing explicit codes matching the parameters of random codes has been a central and largely elusive question in coding theory. The quantum setting is even more challenging since it is highly desirable that the quantum code be an LDPC code. Local coordinate-wise linear (LCL) [Levi, Mosheiff, and Shagrithaya, FOCS...

F. G. Jeronimo, Xiao-Juan Ma, Nikhil Shagrithaya · 1 citation

Preprint Aug 2026

Dimension-Free Polylogarithmic Quantum Shadow Tomography

Shadow Tomography is a fundamental problem in quantum information theory. Given multiple copies of an unknown $d$-dimensional quantum state $\rho$ and a known collection of observables $E_1,\ldots,E_M$, the goal is to estimate all expectation values $\{\text{Tr}(\rho E_i)\}_{i=1}^M$ to additive accuracy $\varepsilon$ w...

F. G. Jeronimo, Qi-Zhao Huang, Le Liu · 2 citations