3 papers
quant-ph2026
Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition
Han Luo, Ziyi Yang, Jingquan Luo +5
The Elliptic Curve Discrete Logarithm Problem (ECDLP) is a fundamental problem in cryptography, and reducing the resource requirements of quantum algorithms for solving ECDLP is an…
quant-ph2026
Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation
Han Luo, Ziyi Yang, Ziruo Wang +2
Solving the Elliptic Curve Discrete Logarithm Problem (ECDLP) is critical for evaluating the quantum security of widely deployed elliptic-curve cryptosystems. Consequently, minimiz…
quant-ph2023
LWE with Quantum Amplitudes: Algorithm, Hardness, and Oblivious Sampling
Yilei Chen, Zihan Hu, Qipeng Liu +2
In this paper, we show new algorithms, hardness results and applications for and with real Gaussian, Gaussian with linear or quadratic phase…