AI 中文总结
该研究提出量子协议，在多体量子混沌区域对多量子比特系统的复杂演化进行时间反转，其对量子门缺陷稳定但存在单量子比特反转引发的蝴蝶效应，可在数百量子比特的量子设备上实现。
AI 中文摘要
1876-1877年的玻尔兹曼-洛施密特争论讨论了基于时间可逆经典运动方程的热化过程的时间反转问题。150年后的今天，我们在量子计算框架下强调这一问题。本文提出一种量子协议，可在多体量子混沌区域中对含多量子比特的复杂演化进行时间反转。该系统代表了方晶格上量子比特的演化，量子比特间存在次近邻静态耦合，且受驱动脉冲磁场作用。系统熵迅速增长至最大值，但在时间反转后回到初始的小值。研究表明，这种时间反转对量子门缺陷具有稳定性；然而，类似于洛伦兹蝴蝶效应，当仅反转一个量子比特时，会出现量子比特的蝴蝶效应，破坏整个系统的时间可逆性。本文指出，该协议可在如今拥有数百个量子比特的量子计算机和退火器上实现。
英文摘要
The Boltzmann-Loschmidt dispute in 1876-1877 discussed the problem of time reversal of ther- malization from time reversible classical equations of motion. Here, 150 years later, we highlight this problem in the frame of quantum computing. A quantum protocol is proposed that allows to perform a time reversal of complex evolution in the regime of many-body quantum chaos with many qubits. The system represents an evolution of qubits on a square lattice with inter-qubit next-nearest static couplings with a driven pulsed magnetic field. The system entropy grows rapidly to maximal values but returns to initial small values after time reversal. This time reversal is shown to be stable with respect to quantum gate imperfections. However, similar to the Lorenz butterfly effect, there is the butterfly effect of qubit when inversion of only one qubit breaks time reversibility of the whole system. It is argued that this protocol is accessible to nowadays quantum computers and annealers with hundreds of qubits.
