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Simulation of Many-Body Fermi Systems on a Universal Quantum Computer

Daniel S. Abrams·Seth Lloyd
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Abstract

We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In order to accommodate fermions using a first quantized Hamiltonian, an efficient quantum algorithm for anti-symmetrization is given. Finally, a simulation of the Hubbard model is discussed in detail.

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Daniel S. Abrams, Seth Lloyd. 1997-03-28. Simulation of Many-Body Fermi Systems on a Universal Quantum Computer. https://doi.org/10.1103/physrevlett.79.2586

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