期刊
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
卷 115, 期 19, 页码 1431-1441出版社
WILEY
DOI: 10.1002/qua.24969
关键词
quantum chemistry; quantum simulation; quantum computing
类别
资金
- NSF CCI center, Quantum Information for Quantum Chemistry (QIQC) [CHE-1037992]
- NSF [PHY-0955518]
- AFOSR [FA9550-12-1-0046]
- DOE [DE-FG02-97ER25308]
- EPSRC
- UCLQ
- EPSRC [EP/L00030X/1, EP/I034602/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [1374944] Funding Source: researchfish
- Direct For Mathematical & Physical Scien
- Division Of Physics [0955518] Funding Source: National Science Foundation
Quantum chemistry is an important area of application for quantum computation. In particular, quantum algorithms applied to the electronic structure problem promise exact, efficient methods for determination of the electronic energy of atoms and molecules. The Bravyi-Kitaev transformation is a method of mapping the occupation state of a fermionic system onto qubits. This transformation maps the Hamiltonian of n interacting fermions to an O(log?n)-local Hamiltonian of n qubits. This is an improvement in locality over the Jordan-Wigner transformation, which results in an O(n)-local qubit Hamiltonian. We present the Bravyi-Kitaev transformation in detail, introducing the sets of qubits which must be acted on to change occupancy and parity of states in the occupation number basis. We give recursive definitions of these sets and of the transformation and inverse transformation matrices, which relate the occupation number basis and the Bravyi-Kitaev basis. We then compare the use of the Jordan-Wigner and Bravyi-Kitaev Hamiltonians for the quantum simulation of methane using the STO-6G basis. (c) 2015 Wiley Periodicals, Inc.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据