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