Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer

• URL: http://arxiv.org/abs/2107.12769v3
• Date: Wed, 26 Jan 2022 18:52:37 GMT
• Title: Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer
• Authors: Angus Kan, Yunseong Nam
• Abstract summary: We show a complete instruction-by-instruction to simulate lattice gauge theories on a quantum computer. We show that lattice gauge theories in any spatial dimension can be simulated using $tildeO(T3/2N3/2Lambda/epsilon1/2)$ T gates.
• Score: 0.033842793760651545
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and technological innovations. Here, we show a complete, instruction-by-instruction rubric to simulate U(1), SU(2), and SU(3) lattice gauge theories on a quantum computer. These theories describe quantum electrodynamics and chromodynamics, the key ingredients that form the fabric of our universe. We further provide a concrete estimate of the quantum computational resources required for an accurate simulation of lattice gauge theories using a second-order product formula. We show that lattice gauge theories in any spatial dimension can be simulated using $\tilde{O}(T^{3/2}N^{3/2}\Lambda/\epsilon^{1/2})$ T gates, where $N$ is the number of lattice sites, $\Lambda$ is the bosonic gauge field truncation, and $T$ is the simulation time.

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