A natural energy condition satisfied by most physical bosonic states, including outputs of universal bosonic circuits, allows the effective dimension for ε-approximations to scale as log(1/ε) instead of 1/ε², enabling improved learning and classical simulation algorithms.
Exponential improvement in quantum simulations of bosons
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A minimal implementation of SU(N) pure Yang-Mills theory on digital quantum computers is presented with simplified Hamiltonians, improved infinite-mass convergence, and SU(2) embedding into R^4, benchmarked by Monte Carlo simulations.
New simplified Hamiltonians, compact qubit encoding for SU(2), and an added Hamiltonian term reduce quantum resources while still reaching the Kogut-Susskind limit in (2+1)D SU(2) lattice gauge theory.
Orbifold lattices incur m^4 Trotter overhead, m^2 contamination, and mandatory mass extrapolation, rendering them 10^4 to 10^10 times costlier than alternatives for a 10^3 calculation.
The paper reviews advances in quantum simulation of out-of-equilibrium dynamics in gauge theories, covering particle production, string breaking, thermalization, and related phenomena.
ε_g in the orbifold lattice formulation measures the shift in effective lattice spacing generated dynamically by complex matrix VEVs, not gauge symmetry breaking.
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