Quantum computation algorithm for many-body studies

Details Quantum computation algorithm for many-body studies Quantum computation algorithm for many-body studies

2007-05-14

arxiv.org/abs/0705.1928v1

Physics

Quantum Physics

16 pages, 10 figures, revtex style

Scientific paper

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.

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