4 papers
A Theory of Finite-Noise Optima and Generalization in Quantum Machine Learning
Ziyu Zhang, Zikang Jia, Xiaosong Li +1
Quantum noise is expected to degrade quantum machine learning by driving circuits away from their noiseless implementations. Yet recent studies show moderate noise can reduce testi…
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Ke Wang, Zikang Jia, Shravan Veerapaneni +1
We develop a pivot-shifted Carleman linearization framework for quantum algorithms solving quadratic nonlinear ordinary differential equations. By shifting the dynamics by a pivot…
Programmable Signal Design for Quantum Phase Estimation via Quantum Signal Processing
Zikang Jia, Suying Liu, Yulong Dong
Quantum phase estimation is a central primitive in quantum algorithms and sensing, where performance is governed by the sensitivity of measurement signals to the target parameter.…
Enhancing the Clique Local Decoder to Correct Length-2 Space Errors in the Surface Code
Zikang Jia, Shravan Veerapaneni, Gokul Subramanian Ravi
The growing demand for fault-tolerant quantum computing drives the need for efficient, scalable Quantum Error Correction (QEC) strategies. Conventional decoders designed for worst-…