Symmetry Configuration Mapping for Representing Quantum Systems on Quantum Computers

Understand

Quantum computing has the potential to significantly speed up complex computational tasks, and arguably the most promising application area for near-term quantum computers is the simulation of quantum mechanics.

• To make the most of our limited quantum computing resources, we need new and more compact algorithms and mappings.
• Whereas previous work, including recent demonstrations, has focused primarily on general mappings for fermionic systems, we propose instead to construct customized mappings tailored to the considered quantum mechanical systems.
• Specifically, we take advantage of existing symmetry, which we build into the mappings a priori to obtain optimal compactness.