期刊
PHYSICAL REVIEW A
卷 100, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.100.032309
关键词
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资金
- National Program on Key Basic Research Project of China [2017YFA0304204]
- National Natural Science Foundation of China [11604277, 117740067, 11934002]
- Thousand-Youth-Talent Program of China
- US ARO-MURI
- US YIP-ONR
- US National Science Foundation [PHY-1607611, PHY-1602867, PHY-1912278]
- Start-up Grant at Florida Atlantic University, USA
- Research Grants Council of the Hong Kong Special Administrative Region, China [CityU 11303617]
- Guangdong Innovative and Entrepreneurial Research Team Program [2016ZT06D348]
Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalization 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 nonseparable many-body correlations. Corresponding to this mapping, we develop an algorithm to efficiently sample a Slater-determinant wave function 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 an 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.
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