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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.03196 |
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| _version_ | 1866916906504552448 |
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| author | Fromm, Michael Philipsen, Owe Unger, Wolfgang Winterowd, Christopher |
| author_facet | Fromm, Michael Philipsen, Owe Unger, Wolfgang Winterowd, Christopher |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$ Fromm, Michael Philipsen, Owe Unger, Wolfgang Winterowd, Christopher High Energy Physics - Lattice Quantum Physics 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. |
| title | Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$ |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2308.03196 |