论文标题

较强的量子速度极限

Stronger Quantum Speed Limit

论文作者

Thakuria, Dimpi, Pati, Arun Kumar

论文摘要

量子速度限制提供了基本界限,量子系统可以在初始状态和最终状态之间发展的速度。对于统一的进化,著名的Mandelstam-Tamm(MT)绑定已广泛研究各种系统。在这里,我们证明了所有经历任意单一进化的量子系统的量子速度极限(SQSL),并表明MT结合是较强的量子速度极限的特殊情况。我们将结果应用于单个系统以及可分离和纠缠状态下的复合系统,并表明新的界限确实很紧。较强的量子速度极限将在量子控制,量子计算和量子信息处理中具有广泛的应用。

The quantum speed limit provides fundamental bound on how fast a quantum system can evolve between the initial and the final states. For the unitary evolution, the celebrated Mandelstam-Tamm (MT) bound has been widely studied for various systems. Here, we prove a stronger quantum speed limit (SQSL) for all quantum systems undergoing arbitrary unitary evolution and show that the MT bound is a special case of the stronger quantum speed limit. We apply our result for single system as well as for composite systems in separable and entangled states and show that the new bound is indeed tight. The stronger quantum speed limit will have wide range of applications in quantum control, quantum computing and quantum information processing.

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