论文标题
量子计算机上的超符合量子力学
Superconformal Quantum Mechanics on a Quantum Computer
论文作者
论文摘要
我们研究了量子计算机上的超符合量子力学（SCQM）。我们在使用一个玻色子和一个玻色子的量子量子质量（VQE）计算出的量子上研究质量变形SCQM的基态 - 一个带有和没有噪声的Fermion Hilbert空间，并比较结果的准确性。我们使用trotter-suzuki近似在量子计算机上使用哈密顿（EOH）算法的进化来研究SCQM的Feynman路径积分，并与确切的结果进行比较。我们认为SCQM的N Boson和N Fermion版本是超对称的Calogero-Moser-Sutherland（SCMS）模型。我们比较了使用VQE计算获得的SCMS理论的基态与精确解决方案。最后，我们讨论了SCQM对量子计算机的数值模拟对量子重力模拟的含义。
We investigate superconformal quantum mechanics (SCQM) on a quantum computer. We study the ground state of the mass deformed SCQM on a quantum computed using the Variational Quantum Eigensolver (VQE) using a one boson and one boson - one fermion Hilbert space with and without noise and compare the accuracy of the results. We study the Feynman path integral for SCQM using the Evolution of Hamiltonian (EOH) algorithm on the quantum computer using the Trotter-Suzuki approximation and compare with the exact result. We consider an N boson and N fermion version of SCQM given be the Supersymmetric Calogero-Moser-Sutherland (SCMS) model. We compare the ground state of SCMS theory obtained using the VQE computation with the exact solution. Finally we discuss the implications of the the numerical simulation of SCQM on a quantum computer for the simulation of quantum gravity in light of the Anti-de Sitter/Superconformal field theory (AdS/CFT) correspondence.
