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quant-ph2025
A slightly improved upper bound for quantum statistical zero-knowledge
François Le Gall, Yupan Liu, Qisheng Wang
The complexity class Quantum Statistical Zero-Knowledge (), introduced by Watrous (FOCS 2002) and later refined in Watrous (SICOMP, 2009), has the best known upper b…
quant-ph2025
Trace Estimation of Quantum State Powers: Sample Complexity and Computational Hardness
Kean Chen, Yupan Liu, Qisheng Wang
As often emerges in various basic quantum properties such as Rényi and Tsallis entropies, the trace of quantum state powers has attracted a lot of attention. The r…
quant-ph2025
On estimating Schatten norm and power distances between quantum states
Yupan Liu, Qisheng Wang
We study the computational complexity of estimating the quantum Schatten -norm distance , given -size state-preparation circuits of -qubit…