4 papers
Multiplicity of non-contractible closed geodesics on Finsler compact space forms
Hui Liu, Yuchen Wang
Let and be a nontrivial element of finite order in , where the integer , is a finite abelian group which acts freely and isometrically on…
Qudits and high-dimensional quantum computing
Yuchen Wang, Zixuan Hu, Barry C. Sanders +1
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit. Compared to qubit, qudit provides a larger state space to store and process information, an…
Quantum Phase Estimation with Time-Frequency Qudits in a Single Photon
Hsuan-Hao Lu, Zixuan Hu, Mohammed S. Alshaykh +5
The Phase Estimation Algorithm (PEA) is an important quantum algorithm used independently or as a key subroutine in other quantum algorithms. Currently most implementations of the…
Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability
Yiming Long, Yuchen Wang, Chongchun Zeng
We consider concentrated vorticities for the Euler equation on a smooth domain in the form of \[ ω= \sum_{j=1}^N ω_j χ_{Ω_j}, \quad |Ω_j| = πr_j^2, \quad \i…