Time-axial gauge qcd on a quantum computer

Non-perturbative QCD phenomenology is typically investigated using Monte Carlomethods that rely on averaging over static bosonic field configurations. However,these methods break down in the presence of a finite baryon density (chemicalpotential) or when simulating real-time dynamics.

Such situations arise, for instance,in the fragmentation of quarks into hadrons or in the physics of neutron-star cores.Quantum computing offers promising new avenues to address these difficulties — ifscalable architectures become available — but they face intrinsic complexities such usthe trade-off between a dense encoding of the relevant degrees of freedom and anefficient decomposition of the resulting unitary transformations.

In this talk, wepresent a novel register-based encoding of canonically quantized QCD in the timeaxial / Weyl gauge. We detail the implementation of key Hamiltonian terms anddemonstrate small-scale simulations that provide a preliminary assessment of thecomputational time and memory resources required.