论文标题

n风味的量子模型量子模型

Quantum Simulation of the N flavor Gross-Neveu Model

论文作者

Asaduzzaman, Muhammad, Catterall, Simon, Toga, Goksu Can, Meurice, Yannick, Sakai, Ryo

论文摘要

我们讨论了量子模拟在NISQ ERA机器上(1+1)维度中相互作用的相互作用费用的$ n $风味理论的使用。两种口味的情况特别有趣,因为它可以映射到哈伯德模型。我们得出适当的Qubit Hamiltonians和相关的量子电路。我们将经典仿真和DMRG/TEBD计算与各种平台上的量子模拟的结果进行比较,以$ n $ = 2和4。我们证明,实时散射计算的四个步骤实际上可以使用当前NISQ设备实现。

We discuss the use of quantum simulation to study an $N$ flavor theory of interacting relativistic fermions in(1+1) dimensions on NISQ era machines. The case of two flavors is particularly interesting as it can be mapped to the Hubbard model. We derive the appropriate qubit Hamiltonians and associated quantum circuits. We compare classical simulation and DMRG/TEBD calculations with the results of quantum simulation on various platforms for $N$=2 and 4. We demonstrate that the four steps of the calculations of real-time scattering can actually be implemented using current NISQ devices.

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