Protecting quantum information from noise is essential for reliable quantum computation and quantum memories. Quantum state purification addresses this challenge by processing multiple noisy copies of an unknown quantum state to produce an output state of higher fidelity. Here we establish nearly tight upper and lower...
Jia-Liang Tang, Jun-Hong Nie, Ke-Ming He et al.· 0 citations
The formalization develops the mathematical foundations for analyzing quantum attacks in two cryptographic settings: a 2048-bit modulus in the RSA-2048 and the standardized elliptic curve over a 256-bit prime field (P-256).
Lei Zhang, Yusheng Zhao, Hongshun Yao et al.· 2 citations
Quantum state purification aims to recover higher-fidelity quantum states from multiple noisy copies and is a fundamental primitive for quantum information processing. Magic resources enable operations beyond classically simulable dynamics and are central to universal fault-tolerant quantum computation. Recent no-go re...
This work formalizes major components of QNN theory in a connected lean 4 development checked by a proof kernel, expecting this work to provide a machine-checkable foundation for QNN theory and a step toward AI-assisted or automated design of quantum machine learning algorithms.
M. Jing, Lei Zhang, Yusheng Zhao et al.· 2 citations
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