圈量子引力的有效模拟--一种可缩放的线性光学方法
Efficient Simulation of Loop Quantum Gravity -- A Scalable Linear-Optical Approach
摘要：
在经典计算机上模拟复杂量子过程的问题引起了量子模拟领域的发展。量子模拟器解决了经典模拟器无法解决的问题，例如玻色子采样。在物理学的另一个领域，统一广义相对论和量子理论是我们这个时代最大的挑战之一。一个主要的方法是圈量子引力（LQG）。在这里，我们连接这两个领域，并设计了一个线性光学模拟器，使光学量子门的演变模拟LQG的自旋泡沫振幅。它已被证明，在简单的量子场论计算跃迁振幅属于类BQP -这强烈表明，计算跃迁振幅的LQG是经典的棘手。因此，这些振幅可以用通用量子计算机有效地计算，唉，这可能需要几十年的时间。我们在这里提出了一种替代的专用线性光量子计算机，它可以使用当前的技术来实现。这台机器能够有效地计算这些量。这项工作为量子引力与量子信息的联系开辟了一条新的途径，并将扩展我们对该理论的理解。
英文摘要：
The problem of simulating complex quantum processes on classical computers gave rise to the field of quantum simulations. Quantum simulators solve problems, such as Boson sampling, where classical counterparts fail. In another field of physics, the unification of general relativity and quantum theory is one of the greatest challenges of our time. One leading approach is Loop Quantum Gravity (LQG). Here, we connect these two fields and design a linear-optical simulator such that the evolution of the optical quantum gates simulates the spinfoam amplitudes of LQG. It has been shown that computing transition amplitudes in simple quantum field theories falls into the class BQP -- which strongly suggests that computing transition amplitudes of LQG are classically intractable. Therefore, these amplitudes are efficiently computable with universal quantum computers which are, alas, possibly decades away. We propose here an alternative special-purpose linear-optical quantum computer, which can be implemented using current technologies. This machine is capable of efficiently computing these quantities. This work opens a new way to relate quantum gravity to quantum information and will expand our understanding of the theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
