论文标题
宇宙作为量子编码器
The Universe as a Quantum Encoder
论文作者
论文摘要
大爆炸的概念挑战了我们宇宙中的量子机械单位性，其中什么都没有转变为某物，以及空间的扩展，其中某物变成了更多东西。这激发了以下假设：从保存内部产品的意义上讲，量子机械时间演变始终是等值的，但不一定是统一的。作为这一假设的证据，我们表明，在两个时空维度（i）在自由田间理论中通过移动镜或扩展几何形状产生的净纠缠熵，（ii）洛伦兹的路径是有限元素的lorentzian路径积分，用于有限元素不可分割嵌入二维的de保姆braneworld。在最后一个示例中，演变是量子错误校正代码。
Quantum mechanical unitarity in our universe is challenged both by the notion of the big bang, in which nothing transforms into something, and the expansion of space, in which something transforms into more something. This motivates the hypothesis that quantum mechanical time evolution is always isometric, in the sense of preserving inner products, but not necessarily unitary. As evidence for this hypothesis we show that in two spacetime dimensions (i) there is net entanglement entropy produced in free field theory by a moving mirror or expanding geometry, (ii) the Lorentzian path integral for a finite elements lattice discretization gives non-unitary isometric time evolution, and (iii) tensor network descriptions of AdS$_3$ induce a non-unitary but isometric time evolution on an embedded two-dimensional de Sitter braneworld. In the last example time evolution is a quantum error-correcting code.
