论文标题

关于宇宙通货膨胀的量子模拟

On Quantum Simulation Of Cosmic Inflation

论文作者

Liu, Junyu, Li, Yue-Zhou

论文摘要

在本文中,我们将Jordan-Lee-Preskill(一种用于模拟平面量子场理论模拟的算法)概括为3+1维膨胀时空。广义算法包含编码处理,初始状态制备,通货膨胀过程以及宇宙学可观察到的量子测量。该算法有助于获得宇宙非高斯的预测,作为量子设备的有用基准问题,以及对通货膨胀扰动理论中相互作用真空的检查假设。 Components of our work also include a detailed discussion about the lattice regularization of the cosmic perturbation theory, a detailed discussion about the in-in formalism, a discussion about encoding using the HKLL-type formula that might apply for both dS and AdS spacetimes, a discussion about bounding curvature perturbations, a description of the three-party Trotter simulation algorithm for time-dependent Hamiltonians, a ground state用于模拟无间隙理论的投影算法,关于量子扩展的教会论文的讨论以及关于模拟量子设备中宇宙重新加热的讨论。

In this paper, we generalize Jordan-Lee-Preskill, an algorithm for simulating flat-space quantum field theories, to 3+1 dimensional inflationary spacetime. The generalized algorithm contains the encoding treatment, the initial state preparation, the inflation process, and the quantum measurement of cosmological observables at late time. The algorithm is helpful for obtaining predictions of cosmic non-Gaussianities, serving as useful benchmark problems for quantum devices, and checking assumptions made about interacting vacuum in the inflationary perturbation theory. Components of our work also include a detailed discussion about the lattice regularization of the cosmic perturbation theory, a detailed discussion about the in-in formalism, a discussion about encoding using the HKLL-type formula that might apply for both dS and AdS spacetimes, a discussion about bounding curvature perturbations, a description of the three-party Trotter simulation algorithm for time-dependent Hamiltonians, a ground state projection algorithm for simulating gapless theories, a discussion about the quantum-extended Church-Turing Thesis, and a discussion about simulating cosmic reheating in quantum devices.

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