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quant-ph2026
Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform
Yupan Liu, Qisheng Wang
The Uhlmann fidelity is one of the most fundamental quantities in quantum information theory for quantifying the closeness betwe…
quant-ph2026
On estimating operator norm distance, with optimal trace distance estimation when one state is pure
Yupan Liu, Qisheng Wang, Zhan Yu
We investigate the computational complexity of estimating the operator norm distance , defined via the operator norm , give…
quant-ph2026
The power of unentanglement without destructive interference
Yupan Liu, Pei Wu
Stoquasticity, originating in sign-problem-free physical systems, gives rise to , introduced by Bravyi, Bessen, and Terhal (2006), a quantum-inspired intermediate class…
quant-ph2026
Computational hardness of estimating quantum entropies via binary entropy bounds
Yupan Liu
We investigate the computational hardness of estimating the quantum -Rényi entropy and the quantum -Tsallis entropy ${\…