论文标题
量子速度限制的基础变化
Quantum Speed Limit for Change of Basis
论文作者
论文摘要
量子速度限制在将一个量子状态转换为另一种量子状态所需的时间上提供了最终界限。在这里，我们将量子速度限制的概念扩展到量子状态的集合，研究将基础基础转化为公正的时间。我们为小于5的尺寸的系统提供紧密的界限，以及多Qubit Systems和Hilbert Space Dimension $ d $的一般界限。对于两数量的系统，我们表明最快的转换同时实现了两个hadamards和量子的交换。我们进一步证明，对于QUTRIT系统，进化时间取决于公正基础的特定类型。我们还研究了相干产生的速度限制，提供了最小的时间，以建立一定数量的连贯性与单一进化。
Quantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we extend the notion of quantum speed limits to collections of quantum states, investigating the time for converting a basis of states into an unbiased one. We provide tight bounds for systems of dimension smaller than 5, and general bounds for multi-qubit systems and Hilbert space dimension $d$. For two-qubit systems, we show that the fastest transformation implements two Hadamards and a swap of the qubits simultaneously. We further prove that for qutrit systems the evolution time depends on the particular type of the unbiased basis. We also investigate speed limits for coherence generation, providing the minimal time to establish a certain amount of coherence with a unitary evolution.
