6 papers · 1 filter
Randomized Subsystem Descent for Fermion-to-Qubit Mapping
Gengzhi Yang, Di Wu, Haizhao Yang +2
We propose a versatile and efficient algorithmic framework for optimizing fermion-to-qubit mappings by generalizing the idea of randomized block coordinate descent. Our greedy appr…
Quantum Estimation of Non-Hermitian Pseudospectra
Gengzhi Yang, Jiaqi Leng, Xiaodi Wu +1
Non-Hermitian many-body systems can be spectrally unstable, so small perturbations may induce large eigenvalue shifts. The pseudospectrum quantifies this instability and provides a…
Resource-efficient quantum simulation of transport phenomena via Hamiltonian embedding
Joseph Li, Gengzhi Yang, Jiaqi Leng +1
Transport phenomena play a key role in a variety of application domains, and efficient simulation of these dynamics remains an outstanding challenge. While quantum computers offer…
Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations
Gengzhi Yang, Akwum Onwunta, Dong An
Linear dissipative differential equation is a fundamental model for a large number of physical systems, such as quantum dynamics with non-Hermitian Hamiltonian, open quantum system…
Differentiable Quantum Computing for Large-scale Linear Control
Connor Clayton, Jiaqi Leng, Gengzhi Yang +3
As industrial models and designs grow increasingly complex, the demand for optimal control of large-scale dynamical systems has significantly increased. However, traditional method…
Fast-forwarding quantum algorithms for linear dissipative differential equations
Dong An, Akwum Onwunta, Gengzhi Yang
We establish improved complexity estimates of quantum algorithms for linear dissipative ordinary differential equations (ODEs) and show that the time dependence can be fast-forward…