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arXiv 0705.1928quant-phmath-phmath.MPnucl-thphysics.comp-ph
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用于多体研究的量子计算算法

Quantum computation algorithm for many-body studies

E. Ovrum, M. Hjorth-Jensen

摘要:

我们详细展示了如何乔丹-维格纳变换可以用来模拟任何费米多体哈密顿量子计算机上。我们开发了一个算法的基础上适当的量子比特门,需要一个一般的费米子哈密顿量,作为输入的产品的一个给定数量的创建和湮灭运营商。为了证明该算法的适用性,我们计算了两个模型哈密顿量,著名的哈伯德模型和广义配对哈密顿量的特征值和特征向量。对其他系统的扩展进行了讨论。

英文摘要:

We show in detail how the Jordan-Wigner transformation can be used to simulate any fermionic many-body Hamiltonian on a quantum computer. We develop an algorithm based on appropriate qubit gates that takes a general fermionic Hamiltonian, written as products of a given number of creation and annihilation operators, as input. To demonstrate the applicability of the algorithm, we calculate eigenvalues and eigenvectors of two model Hamiltonians, the well-known Hubbard model and a generalized pairing Hamiltonian. Extensions to other systems are discussed.

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。

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