Complexity in quantum physics measures how difficult a state can be reached from a reference state and more precisely it is the number of fundamental unitary gates we have to operate to transform the reference state to the state we are considering. In the holographic context, based on several explicit calculations and arguments, it is conjectured that certain bulk volume calculates the boundary field theory subregion complexity. In this paper, we will show that the deformation shows a strong signal of the correctness of this complexity equals volume conjecture. A bonus is a way to look at the deformation, by its reversibility, as operating a unitary quantum circuit which prepares states in quantum field theory.

中文翻译：

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变形与复杂度=体积猜想

量子物理学中的复杂性衡量的是从参考状态达到状态的难易程度，更准确地说，这是我们必须进行操作以将参考状态转换为我们正在考虑的状态的基本unit门的数量。在全息的背景下，基于几个显式的计算和论据，推测一定的体积将计算边界场理论子区域的复杂性。在本文中，我们将显示变形显示出一个强烈的信号，表明这种复杂性等于体积猜想的正确性。奖金是一种通过操作可逆性来观察变形的方法，该变形是通过操作在量子场论中准备状态的单一量子电路进行的。