Gluon field digitization via group space decimation for quantum computers
Autor: | Henry Lamm, Shuchen Zhu, Yao Ji |
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Rok vydání: | 2020 |
Předmět: |
Physics
Quantum Physics Decimation Field (physics) 010308 nuclear & particles physics Discrete group High Energy Physics::Lattice ddc:530 High Energy Physics - Lattice (hep-lat) FOS: Physical sciences Gauge (firearms) 530 Physik 01 natural sciences High Energy Physics - Lattice Qubit 0103 physical sciences Gauge theory Statistical physics Quantum Physics (quant-ph) 010306 general physics Gluon field Quantum computer |
Zdroj: | Physical Review |
ISSN: | 2470-0029 2470-0010 |
DOI: | 10.1103/physrevd.102.114513 |
Popis: | Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this approach by deriving a single plaquette action for approximating general continuous gauge groups through integrating out field fluctuations. This provides insight into the effectiveness of these approximations, and how they could be improved. We accompany the scheme by simulations of pure gauge over the largest discrete subgroup of $SU(3)$ up to the third order. Comment: 13 pages, 10 figures, v3 added numerical results and reordered paper |
Databáze: | OpenAIRE |
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