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Treating the fermionic ground state problem as a constrained stochasticoptimization problem, a formalism for fermionic quantum Monte Carlo isdeveloped that makes no reference to a trial wavefunction. Exchange symmetry isenforced by nonlocal terms appearing in the Green's function corresponding to anew kind of walker propagation. Complemented by a treatment of diffusion thatencourages the formation of a stochastic nodal surface, we find that anapproximate long-range extension of walker cancellations can be employedwithout introducing significant bias, reducing the number of walkers requiredfor a stable calculation. A proof-of-concept implementation is shown to give astable fermionic ground state for simple harmonic and atomic systems.

Stochastic nodal surfaces in quantum Monte Carlo calculations