Quantum information scrambling through a high-complexity operator mapping
Quantum information scrambling through a high-complexity operator mapping
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通过高复杂度算子映射进行量子信息加扰
DOI：
10.1103/physreva.100.032309
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发表时间：
2019
影响因子：
2.9
通讯作者：
Wang Xin
中科院分区：
文献类型：
--
作者：
Li Xiaopeng;Zhu Guanyu;Han Muxin;Wang Xin
在调和多体系统中量子力学的么正性和热不可逆性之间的矛盾的过程中，量子信息置乱引起了人们的广泛关注。在这里，我们提出了一种非传统的机制，通过一个高复杂性的映射，从逻辑到物理的自由度，隐藏的逻辑信息到不可分离的多体相关性，以产生量子信息置乱。对应于这个映射，我们开发了一个算法，有效地采样Slater行列式波函数和计算所有的物理观测量的动力学多项式成本的系统大小。该系统在量子多体希尔伯特空间中表现出信息置乱，其特征在于汉明距离的扩展。后来，我们发现在这个量子多体系统中出现了经典扩散动力学。我们建立了运营商映射启用增长的时间顺序相关器表现出指数扰码行为。量子信息隐藏映射方法可能有助于理解计算复杂性，信息置乱和量子热化之间的基本联系。
Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalizaiton-irreversibility in many-body systems. Here we propose an unconventional mechanism to generate quantum information scrambling through a high-complexity mapping from logical to physical degrees-of-freedom that hides the logical information into non-separable many-body-correlations. Corresponding to this mapping, we develop an algorithm to efficiently sample a Slater-determinant wavefunction and compute all physical observables in dynamics with a polynomial cost in system-size. The system shows information scrambling in the quantum many-body Hilbert space characterized by the spreading of Hamming-distance. At late time, we find emergence of classical diffusion dynamics in this quantum many-body system. We establish that the operator-mapping enabled growth in out-of-time-order-correlator exhibits exponential-scrambling behavior. The quantum information-hiding mapping approach may shed light on the understanding of fundamental connections among computational complexity, information scrambling and quantum thermalization.