Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$
- URL: http://arxiv.org/abs/2308.03196v1
- Date: Sun, 6 Aug 2023 19:27:14 GMT
- Title: Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$
- Authors: Michael Fromm, Owe Philipsen, Wolfgang Unger and Christopher Winterowd
- Abstract summary: We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks.
This theory is of interest for studies at non-zero density as the sign problem can be overcome using Monte Carlo methods.
- Score: 0.6165163123577484
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We derive the primitive quantum gate sets to simulate lattice quantum
chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless
staggered quarks. This theory is of interest for studies at non-zero density as
the sign problem can be overcome using Monte Carlo methods. In this work, we
use it as a testing ground for quantum simulations. The key point is that no
truncation of the bosonic Hilbert space is necessary as the theory is
formulated in terms of color-singlet degrees of freedom (``baryons'' and
``mesons''). The baryons become static in the limit of continuous time and
decouple, whereas the dynamics of the mesonic theory involves two qubits per
lattice site. Lending dynamics also to the ``baryons'' simply requires to use
the derived gate set in its controlled version.
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