4 papers · 1 filter
Landscape Analysis of Excited States Calculation over Quantum Computers
Hengzhun Chen, Yingzhou Li, Bichen Lu +1
The variational quantum eigensolver (VQE) is one of the most promising algorithms for low-lying eigenstates calculation on Noisy Intermediate-Scale Quantum (NISQ) computers. Specif…
State-Specific Orbital Optimization for Enhanced Excited-States Calculation on Quantum Computers
Guorui Zhu, Joel Bierman, Jianfeng Lu +1
We propose a state-specific orbital optimization scheme for improving the accuracy of excited states of the electronic structure Hamiltonian for the use on near-term quantum comput…
Randomized coordinate gradient descent almost surely escapes strict saddle points
Ziang Chen, Yingzhou Li, Zihao Li
We analyze the behavior of randomized coordinate gradient descent for nonconvex optimization, proving that under standard assumptions, the iterates almost surely escape strict sadd…
Quantum Circuit for Non-Unitary Linear Transformation of Basis Sets
Guorui Zhu, Joel Bierman, Jianfeng Lu +1
This paper introduces a novel approach to implementing non-unitary linear transformations of basis on quantum computational platforms, a significant leap beyond the conventional un…