4 papers
Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation
Di Fang, Justin Park
Solving linear differential equations is a fundamental task in scientific computing and an important primitive for quantum computing. A recent one-ancilla quantum differential equa…
Quantum Gibbs sampling through the detectability lemma
Di Fang, Jianfeng Lu, Yu Tong +1
Gibbs state preparation is an important subroutine in quantum computing. In this work we use the detectability lemma to improve Gibbs state preparation. Specifically, we design new…
Qubit-Efficient Quantum Algorithm for Linear Differential Equations
Di Fang, David Lloyd George, Yu Tong
As quantum hardware rapidly advances toward the early fault-tolerant era, a key challenge is to develop quantum algorithms that are not only theoretically sound but also hardware-f…
Mixing Time of Open Quantum Systems via Hypocoercivity
Di Fang, Jianfeng Lu, Yu Tong
Understanding the mixing of open quantum systems is a fundamental problem in physics and quantum information science. Existing approaches for estimating the mixing time often rely…