Efficient quantum algorithms for state preparation: ground and thermal state
报告人:丁智彦 (加州大学伯克利分校)
时间:2024-06-03 10:00-11:00
地点:智华楼412
【摘要】
One of the most promising applications of quantum computers is to simulate the ground or thermal state properties of many-body quantum systems. We propose a framework for designing efficient ground/thermal state preparation quantum algorithms. As a Monte Carlo-style quantum algorithm, our method uses a Lindbladian where the target state is stationary, and its evolution can be efficiently implemented using just one ancilla qubit. We will mainly focus on presenting our algorithms for ground state preparation, with a brief mention of the extension to thermal state preparation. For the ground state preparation, our method stands out for its ability to prepare the ground state even when the initial state has zero overlap with the ground state, bypassing the most significant limitation of methods like quantum phase estimation. Some interesting open problems and future directions will also be mentioned at the end of the talk.