4 papers
-efficient unitary synthesis via block-sparse Hamiltonian simulation
Diyi Liu, Shuchen Zhu, Wibe Albert de Jong +3
We construct Clifford+ circuits implementing arbitrary -qubit unitaries with worst-case -count at constant operator-norm error, where , imp…
Logical Resource Estimation for Quantum State Preparation with Compilation
Diyi Liu, Hanyu Wang, Shuchen Zhu +6
Quantum state preparation is a fundamental primitive in quantum algorithms for encoding classical data into quantum amplitudes. We compare the cost of preparing general -qubit s…
Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements
Di Fang, Xiaoxu Wu
Efficiently simulating many-body quantum systems with Coulomb interactions is a fundamental question in quantum physics, quantum chemistry, and quantum computing, yet it presents u…
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
Di Fang, Conrad Qu
Efficient simulation of the semiclassical Schrödinger equation has garnered significant attention in the numerical analysis community. While controlling the error in the unitary ev…