Toward QCD on Quantum Computer: Orbifold Lattice Approach

Abstract

We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in the coordinate basis. We show that SU(3) gauge group variables and quarks in the fundamental representation can be implemented straightforwardly on qubits, for arbitrary truncation of the gauge manifold.

24 pages. v2: Some types were fixed. v3: to appear in JHEP. v4: one footnote was added, grant information was updated. v5. eq.(12) was corrected