Qian Chen

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quant-ph2026

A Lie-algebraic Criterion for the Universality of Exponentiated Quantum Gates

Yinuo Xue, Qian Chen, Jing-Song Huang

We present a criterion that serves as the basis for a polynomial-time algorithm to decide whether a finite set of qudit gates exponentiated by some Hamiltonians is universal. Our a…

quant-ph2026

The complexity of semidefinite programs for testing $k$ -block-positivity

Qian Chen, BenoÃ®t Collins

We extend \cite{chen2025srkbp} by analyzing the complexity of the $k$ -block-positivity testing algorithm that stems from the optimization problem in Definition \ref{definition:SDP-…

quant-ph2025

Symmetry reduction for testing $k$ -block-positivity via extendibility

Qian Chen, BenoÃ®t Collins, Omar Fawzi

We study the problem of testing $k$ -block-positivity via symmetric $N$ -extendibility by taking the tensor product with a $k$ -dimensional maximally entangled state. We exploit the u…

A Lie-algebraic Criterion for the Universality of Exponentiated Quantum Gates

The complexity of semidefinite programs for testing k-block-positivity

Symmetry reduction for testing k-block-positivity via extendibility

The complexity of semidefinite programs for testing $k$ -block-positivity

Symmetry reduction for testing $k$ -block-positivity via extendibility