Department of Physics, Harvard University, Cambridge, MA 02138.
Proc Natl Acad Sci U S A. 2023 Apr 25;120(17):e2217031120. doi: 10.1073/pnas.2217031120. Epub 2023 Apr 18.
Quantum chaos has become a cornerstone of physics through its many applications. One trademark of quantum chaotic systems is the spread of local quantum information, which physicists call scrambling. In this work, we introduce a mathematical definition of scrambling and a resource theory to measure it. We also describe two applications of this theory. First, we use our resource theory to provide a bound on magic, a potential source of quantum computational advantage, which can be efficiently measured in experiment. Second, we also show that scrambling resources bound the success of Yoshida's black hole decoding protocol.
量子混沌通过其众多应用已成为物理学的基石。量子混沌系统的一个特点是局部量子信息的扩散，物理学家称之为混搅。在这项工作中，我们引入了混搅的数学定义和一种用于测量它的资源理论。我们还描述了该理论的两个应用。首先，我们利用资源理论对魔术（一种潜在的量子计算优势来源）进行了限制，魔术可以在实验中有效地进行测量。其次，我们还表明，混搅资源限制了 Yoshida 黑洞解码协议的成功。
