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arXiv 1801.09615gr-qchep-th
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具有双子/非线性电荷/弦毛/拓扑缺陷的AdS黑洞的复杂性增长率

Complexity growth rates for AdS black holes with dyonic/ nonlinear charge/ stringy hair/ topological defects

Ali Övgün, Kimet Jusufi

摘要:

在Brown等人的开创性论文[Phys. Rev. Lett. 116,no. 19,191301(2016)]提出了一个新的猜想,即认为全息态的量子复杂性等于Wheeler-DeWitt补丁在后期时限的作用,这表明自然界中最快的计算机是黑洞。基于这一猜想,本文研究了双子黑洞、非线性荷黑洞、弦毛黑洞、具有整体引力的黑洞和宇宙弦等不同类型的黑洞的作用量增长率。在一般情况下,我们发现Wheeler-DeWitt补丁的行动增长率是有限的这些黑洞在后期的方法,并满足劳埃德限制的量子计算的速度。此外,在带电以及中性黑洞的情况下,一个全球性的黑洞和圆锥形的缺陷,我们表明,劳埃德束缚关系的形式保持不变,但能量被修改,由于非平凡的全球拓扑的时空。

英文摘要:

In a seminal paper by Brown et al. [Phys. Rev. Lett. 116, no. 19, 191301 (2016)] a new conjecture was proposed, namely it was argued that the quantum complexity of a holographic state is equal to action of a Wheeler-DeWitt patch in the late time limit suggesting that the fastest computer in nature are the black holes. Motivated by this conjecture, in the present paper, we study the action growth rate for different types of black holes such as dyonic, nonlinear charge, stringy hair, black hole with a global monopole and a cosmic string. In general we find that action growth rates of the Wheeler-DeWitt patch is finite for these black holes at the late time approach and satisfy the Lloyd bound on the rate of quantum computation. Furthermore, in the case of a charged as well as the neutral black hole with a global monopole and a conical defect we show that the form of the Lloyd bound relation remains unaltered but the energy is modified due to the nontrivial global topology of the spacetime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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