Quantum Computational Particle Physics
Lattice gauge theories lie at the heart of computational particle physics. Motivated by the fact that quantum simulation, unlike their classical counterpart, can simulate quantum dynamics efficiently, we construct explicit gate-by-gate quantum algorithms, based on second-order product formula, to simulate lattice quantum electrodynamics and chromodynamics. They are described by the Kogut-Susskind Hamiltonians for U(1), SU(2), and SU(3) lattice gauge theories. Furthermore, we perform a concrete estimate of the quantum computational resources, by analyzing both algorithmic and synthesis errors, required for an accurate simulation of the real-time evolution of LGTs in arbitrary spatial dimension and lattice size.
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Meeting link: https://uwaterloo.zoom.us/j/92251599668?pwd=emZmYXUwTDQ5NGhVMWZEN1BUeXVXZz09
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