有界陷阱速度下的最小时间量子输运
Minimum-Time Quantum Transport with Bounded Trap Velocity
AI总结：
将量子粒子在可移动有界速度谐振子势阱中的高效输运问题建模为有界输入线性系统的最小时间问题，通过完全求解最优控制问题得到bang-bang解，为量子信息处理中存储与处理单元间的量子输运提供关键步骤。
摘要：
我们将量子粒子在可移动有界速度谐振子势阱中的高效输运问题，建模为有界输入线性系统的最小时间问题。我们完全求解了相应的最优控制问题，并得到了一个有趣的bang-bang解。这些结果预计将在量子信息处理中找到应用，其中量子计算机存储单元与处理单元之间的量子输运是一个关键步骤。它们还可以扩展到玻色-爱因斯坦凝聚体的高效输运，其中控制它们的能力对于其作为干涉传感器的潜在用途至关重要。
英文摘要：
We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution. These results are expected to find applications in quantum information processing, where quantum transport between the storage and processing units of a quantum computer is an essential step. They can also be extended to the efficient transport of Bose-Einstein condensates, where the ability to control them is crucial for their potential use as interferometric sensors.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
