Qu8Its for Quantum Simulations of Lattice Quantum Chromodynamics

Qu8Its for Quantum Simulations of Lattice Quantum Chromodynamics

July 17, 2024 | Marc Illa, Caroline E. P. Robin, Martin J. Savage
The paper explores the use of $d = 8$ qudits (qu8its) for quantum simulations of 1+1D SU(3) lattice quantum chromodynamics (QCD), including a mapping for arbitrary numbers of flavors and lattice sizes. The authors highlight the advantages of using qu8its over qubits, particularly in terms of reducing the number of two-qu8it entangling gates required for time evolution, which is more than five times fewer compared to qubits. This reduction is significant due to the longer application times of single-qudit operations compared to two-qudit operations. The paper also discusses the restructuring of the Hamiltonian to efficiently perform time evolution using qu8its, and provides a detailed framework for quantum simulations of QCD with arbitrary numbers of flavors and lattice sites. The results are expected to enable improved quantum simulations using emerging quantum hardware, with potential applications in higher-dimensional quantum field theories.The paper explores the use of $d = 8$ qudits (qu8its) for quantum simulations of 1+1D SU(3) lattice quantum chromodynamics (QCD), including a mapping for arbitrary numbers of flavors and lattice sizes. The authors highlight the advantages of using qu8its over qubits, particularly in terms of reducing the number of two-qu8it entangling gates required for time evolution, which is more than five times fewer compared to qubits. This reduction is significant due to the longer application times of single-qudit operations compared to two-qudit operations. The paper also discusses the restructuring of the Hamiltonian to efficiently perform time evolution using qu8its, and provides a detailed framework for quantum simulations of QCD with arbitrary numbers of flavors and lattice sites. The results are expected to enable improved quantum simulations using emerging quantum hardware, with potential applications in higher-dimensional quantum field theories.
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