论文标题
最大纠缠速度意味着双重单位性
Maximal entanglement velocity implies dual unitarity
论文作者
论文摘要
全局量子淬灭可以通过带有局部统一门的量子电路来建模。通常，纠缠以通过纠缠速度给出的速率线性增长，纠缠速度受到光锥的生长的上限。 我们表明，如果我们交换空间和时间方向 - 一种称为双重单位性的属性，达到最大速率的统一相互作用必须保持统一。我们的结果很健壮：近似最大的纠缠速度也意味着近似双单位性。 我们进一步表明，最大的纠缠速度始终伴随着特定的纠缠动力学模式，该模式对几种已知的确切可解决模型进行了更简单的分析。
A global quantum quench can be modeled by a quantum circuit with local unitary gates. In general, entanglement grows linearly at a rate given by entanglement velocity, which is upper bounded by the growth of the light cone. We show that the unitary interactions achieving the maximal rate must remain unitary if we exchange the space and time directions -- a property known as dual unitarity. Our results are robust: approximate maximal entanglement velocity also implies approximate dual unitarity. We further show that maximal entanglement velocity is always accompanied by a specific dynamical pattern of entanglement, which yields simpler analyses of several known exactly solvable models.
