Quantum circuits for spin and flavor degrees of freedom of quarks forming nucleons

Understand

We discuss the quantum-circuit realization of the state of a nucleon in the scope of simple symmetry groups.

• Explicit algorithms are presented for the preparation of the state of a neutron or a proton as resulting from the composition of their quark constituents.
• We estimate the computational resources required for such a simulation and design a photonic network for its implementation.
• Moreover, we highlight that current work on three-body interactions in lattices of interacting qubits, combined with the measurement-based paradigm for quantum information processing, may also be suitable for the implementation of these nucleonic spin states.