Quantum Algorithms for Fermionic Simulations

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We investigate the simulation of fermionic systems on a quantum computer. We show in detail how quantum computers avoid the dynamical sign problem present in classical simulations of these systems, therefore reducing a problem believed to be of exponential complexity into one of polynomial complexity. The key to our demonstration is the spin-particle connection (or generalized Jordan-Wigner transformation) that allows exact algebraic invertible mappings of operators with different statistical properties. We give an explicit implementation of a simple problem using a quantum computer based on standard qubits.
38 pages, 2 psfigure

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Condensed Matter, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/218579

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0012334
 http://arxiv.org/abs/cond-mat/0012334
 Phys.Rev.A64:022319,2001
 doi:10.1103/PhysRevA.64.022319

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arXiv