4 papers · 1 filter
Classical optimization algorithms for diagonalizing quantum Hamiltonians
Taehee Ko, Sangkook Choi, Hyowon Park +1
Diagonalizing a Hamiltonian, which is essential for simulating its long-time dynamics, is a key primitive in quantum computing and has been proven to yield a quantum advantage for…
Exponential Quantum Speedup for Simulating Classical Lattice Dynamics
Xiantao Li
Simulating large scale lattice dynamics directly is computationally demanding due to the high complexity involved, yet such simulations are crucial for understanding the mechanical…
Random coordinate descent: a simple alternative for optimizing parameterized quantum circuits
Zhiyan Ding, Taehee Ko, Jiahao Yao +2
Variational quantum algorithms rely on the optimization of parameterized quantum circuits in noisy settings. The commonly used back-propagation procedure in classical machine learn…
Simulating Open Quantum Systems Using Hamiltonian Simulations
Zhiyan Ding, Xiantao Li, Lin Lin
We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations.…