Benefits of Quditization for Quantum Simulation of Gauge Theories

  • Jan. 20, 2022, 2:30 pm US/Central
  • Erik J. Gustafson, Fermilab

Quantum Computing offers the promise of ab initio determination of some real-time observables for quantum field theories that are not typically ascessible in Lattice QCD simulations. Typical quantum computers leverage qubits, 2-state objects, for computations. However, Hilbert spaces for many physical systems do not cleanly map to a power of 2 and have unused states left over. This introduces additional problems of preserving the correct Hilbert space for the simulation. Qudits, d-state objects, can be leveraged to more compactly represent the desired Hilbert space and provide a more compact implementation of quantum algorithm. In this talk I will discuss the efficacy of qudit mappings for compact scalar quantum electrodynics and gauge invariant representations of quantum electrodynamics.