3 papers
quant-ph2026
Spectral gap of Lee-Yang Hamiltonians
Chaithanya Rayudu, Jun Takahashi
The Lee-Yang theorem and its quantum extensions state that, for a broad class of Hamiltonians on any graph, the partition function's zeros in the complex magnetic field plane lie o…
quant-ph2026
An SU(2)-symmetric Semidefinite Programming Hierarchy for Quantum Max Cut
Jun Takahashi, Chaithanya Rayudu, Cunlu Zhou +3
Understanding and approximating extremal energy states of local Hamiltonians is a central problem in quantum physics and complexity theory. Recent work has focused on developing ap…
quant-ph2024
Quantum Phase Estimation by Compressed Sensing
Changhao Yi, Cunlu Zhou, Jun Takahashi
As a signal recovery algorithm, compressed sensing is particularly useful when the data has low-complexity and samples are rare, which matches perfectly with the task of quantum ph…