846 citations · 4.3k across the 40 of their papers we have counts for
4 papers · 2 filters
Hamiltonian Simulation by Qubitization
Guang Hao Low, Isaac L. Chuang
We present the problem of approximating the time-evolution operator to error , where the Hamiltonian $\hat{H}=(\langle G|\otimes\hat{\mathcal{I}})\hat{U}(|G\ran…
Hamiltonian Simulation with Optimal Sample Complexity
Shelby Kimmel, Cedric Yen-Yu Lin, Guang Hao Low +2
We investigate the sample complexity of Hamiltonian simulation: how many copies of an unknown quantum state are required to simulate a Hamiltonian encoded by the density matrix of…
Optimal Hamiltonian Simulation by Quantum Signal Processing
Guang Hao Low, Isaac L. Chuang
The physics of quantum mechanics is the inspiration for, and underlies, quantum computation. As such, one expects physical intuition to be highly influential in the understanding a…
The methodology of resonant equiangular composite quantum gates
Guang Hao Low, Theodore J. Yoder, Isaac L. Chuang
The creation of composite quantum gates that implement quantum response functions dependent on some parameter of interest is often more of an art than a science. T…