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quant-ph2026
Efficient Quantum State Identity Testing
Shih-Han Hung, Ming-Hsien Tsai
We study the following quantum state identity problem: given access to copies of unknown pure quantum states, the goal is to determine whether every pair has fidelity at least…
quant-ph2026
No Size-Preserving Amplification with Quantum Advice
Shih-Han Hung, Han-Hsuan Lin
Marriott and Watrous showed that quantum Merlin--Arthur games admit generic error reduction without increasing witness size [Computational Complexity, 2005]. In this work, we show…
quant-ph2026
Random Quantum Circuits Beyond Moment Matching
Shih-Han Hung
Random quantum circuits aim to efficiently reproduce the statistical properties of ideal random quantum evolution. One approach is to construct approximate unitary designs, which m…