论文标题
使用Clifford解码器解散量子信息
Unscrambling Quantum Information with Clifford decoders
论文作者
论文摘要
量子信息争夺是一个统一的过程，它破坏了局部相关性并在整个系统中传播信息，从而有效地将其隐藏在非本地的自由度下。原则上，通过对统一动态的完美了解，可以解散此信息[B. Yoshida和A. Kitaev，Arxiv：1710.03363。]。但是，这封信表明，即使没有以前了解内部动力学的知识，也可以通过监视本地子系统的传出信息来有效地从未知的乱扰器中解码信息。令人惊讶的是，我们表明，具有迅速混合但并非完全混乱的不明内部动力学的扰动器可以使用Clifford解码器进行解码。即使过程成倍复杂，也可以有效地恢复争夺统一的基本特性。具体而言，我们确定由$ t $ non-Clifford Gates组成的统一运营商承认Clifford解码器高达$ t \ le n $。
Quantum information scrambling is a unitary process that destroys local correlations and spreads information throughout the system, effectively hiding it in nonlocal degrees of freedom. In principle, unscrambling this information is possible with perfect knowledge of the unitary dynamics [B. Yoshida and A. Kitaev, arXiv:1710.03363.]. However, this Letter demonstrates that even without previous knowledge of the internal dynamics, information can be efficiently decoded from an unknown scrambler by monitoring the outgoing information of a local subsystem. Surprisingly, we show that scramblers with unknown internal dynamics, which are rapidly mixing but not fully chaotic, can be decoded using Clifford decoders. The essential properties of a scrambling unitary can be efficiently recovered, even if the process is exponentially complex. Specifically, we establish that a unitary operator composed of $t$ non-Clifford gates admits a Clifford decoder up to $t\le n$.
