3 papers
quant-ph2026
Optimal Effective Hamiltonian for Quantum Computing and Simulation
Hao-Yu Guan, Xiao-Long Zhu, Yu-Hang Dang +1
The effective Hamiltonian serves as the conceptual pivot of quantum engineering, transforming physical complexity into programmable logic; yet, its construction remains compromised…
quant-ph2024
Quantum walks advantage on the dihedral group for uniform sampling problem
Shyam Dhamapurkar, Yuhang Dang, Saniya Wagh +1
Random walk algorithms are crucial for sampling and approximation problems in statistical physics and theoretical computer science. The mixing property is necessary for Markov chai…
quant-ph2024
Weaving Complex Graph on simple low-dimensional qubit lattices
Yu-Hang Dang, Shyam Dhamapurkar, Xiao-Long Zhu +3
In quantum computing, the connectivity of qubits placed on two-dimensional chips limits the scalability and functionality of solid-state quantum computers. This paper presents two…