Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
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DOI：
10.1088/1475-7516/2018/02/047
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发表时间：
2017-08
影响因子：
6.4
通讯作者：
Xian-Hui Ge;Bin Wang
中科院分区：
文献类型：
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作者：
Xian-Hui Ge;Bin Wang
研究了量子计算复杂性与广义相对论的关系。量子计算的复杂性可以用量子测地线的最短长度来量化。我们研究的复杂性/体积的对偶性在一个测地线因果球的框架下的费米正常坐标，并推导出完整的非线性爱因斯坦方程。利用复杂性/作用二重性的见解，我们认为宇宙的加速膨胀可能是由量子复杂性驱动的，而不受巧合和微调问题的影响。
We study the relation between quantum computational complexity and general relativity. The quantum computational complexity is proposed to be quantified by the shortest length of geodesic quantum curves. We examine the complexity/volume duality in a geodesic causal ball in the framework of Fermi normal coordinates and derive the full non-linear Einstein equation. Using insights from the complexity/action duality, we argue that the accelerated expansion of the universe could be driven by the quantum complexity and free from coincidence and fine-tunning problems.