Bosonic field digitization for quantum computers

Quantum simulation of quantum field theory is a flagship application computers that promises to deliver capabilities beyond classical computing. The realization advantage will require methods can accurately predict error scaling as function the resolution and parameters model be implemented efficiently on hardware. In this paper, we address representation lattice bosonic fields in discretized amplitude basis, develop scaling, present efficient qubit implementation strategies. A low-energy subspace Hilbert space, defined by boson occupation number cutoff, represented with exponentially good accuracy finite-size space. finite construction associated errors are directly related Nyquist-Shannon sampling Fourier transforms states conjugate-field bases. We analyze relation between mass, discretization used for wave sampling, size. Numerical simulations small size ${\mathrm{\ensuremath{\Phi}}}^{4}$ problems demonstrate mass optimizing ground state approximation optimal yielding minimum However, find accurate general functions does not necessarily result representation. validating adjusting achieve more simulations.