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

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arxiv quant-ph/9703054 v1 pith:6NZ4AQUB submitted 1997-03-28 quant-ph

Daniel S. Abrams (1) , Seth Lloyd (2) ((1) Department of Physics , Massachusetts Institute of Technology (2) Department of Mechanical Engineering , Massachusetts Institute of Technology) This is my paper · ORCID
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keywords quantumcomputerfermifirstquantizedsimulationsystemsuniversal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

    hep-lat 2026-04 unverdicted novelty 7.0 of 10

    New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.

  2. Quantum simulation of scattering amplitudes and interferences in perturbative QCD

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A quantum circuit encodes QCD colour factors and diagram interferences in a measurement probability, with permuted identical-particle diagrams generated by swap sorting networks.

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