Quantum mechanics

Theoretical physics

Scheme (mathematics)

Pure mathematics

Gauge (firearms)

Bandwidth (computing)

Decimation

Field (mathematics)

Archaeology

Operating system

Gluon

Telecommunications

Economics

Computer science

Gauge theory

Physics

Mathematics

Digitization

Mathematical analysis

Quantum

Combinatorics

Qubit

Gauge group

Finance

Topology (electrical circuits)

Quantum chromodynamics

Group (periodic table)

Order (exchange)

Space (punctuation)

History

Physical review. D/Physical review. D.

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.

Gluon field digitization via group space decimation for quantum computers