Author

Qizhao Huang

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Preprint Sep 2026

Learning Random Quantum Circuits and the Emergence of Pseudorandomness

We give an efficient algorithm for learning $k$-dimensional brickwork random quantum circuits using only copies of the output state obtained by applying $U$ to the all-zero input. For a depth-$d$ circuit on $n$ sites with random $2\ell$-qubit gates, the algorithm learns the original circuit $U$ with high probability in...

Srinivasan Arunachalam, Qi-Zhao Huang, Makrand Sinha · 0 citations

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