11 papers
Virtual quantum neural networks
Benchi Zhao, Xuanqiang Zhao, Yinan Li +2
Quantum neural networks are a prominent model of quantum machine learning. Their training consists in the minimization of a given loss function over a parametrized family of quantu…
SinCoTrap: A High-Order Locally Corrected Trapezoidal Rule for Periodic Singular Integrals in Arbitrary Dimensions
Hengzhun Chen, Yingzhou Li
We present SinCoTrap (Singularity-Corrected Trapezoidal Rule), a high-order locally corrected trapezoidal method for periodic singular integrals in arbitrary dimension with ker…
Structure-Aware Compilation for Scalable Neutral-Atom Quantum Computing
Dekuan Dong, Fengyu Zou, Hengzhun Chen +2
We study the compilation of structured quantum gate families on two-dimensional neutral-atom arrays, aiming to reduce addressing and transport overhead under realistic hardware con…
CDFCI: High-Performance Parallel Software for Quantum Many-Body Eigenvalue Problems
Yuejia Zhang, Zhe Wang, Jianfeng Lu +1
CDFCI is a shared-memory parallel numerical program for computing low-lying eigenpairs of large-scale, non-relativistic fermionic Hamiltonians. The software is designed to handle a…
Harnessing dark states: coherent control in coupled cavity-Rydberg-atom systems
Ying-Zhi Li, Xuan Zhao, Le-Man Kuang +1
The dark-state effect, caused by destructive interference, not only is an important fundamental research topic in atomic physics and quantum optics, but also has wide potential app…
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…
On the Continuity of Schur-Horn Mapping
Hengzhun Chen, Yingzhou Li
The Schur-Horn theorem is a well-known result that characterizes the relationship between the diagonal elements and eigenvalues of a symmetric (Hermitian) matrix. In this paper, we…
Qubit Count Reduction by Orthogonally-Constrained Orbital Optimization for Variational Quantum Excited States Solvers
Joel Bierman, Yingzhou Li, Jianfeng Lu
We propose a state-averaged orbital optimization scheme for improving the accuracy of excited states of the electronic structure Hamiltonian for use on near-term quantum computers.…