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We compare the fixed-phase approximation with the better known, but closelyrelated fixed-node approximation on several testing examples. We found thatboth approximations behave very similarly with the fixed-phase results beingvery close to the fixed-node method whenever nodes/phase were of high andcomparable accuracy. The fixed-phase exhibited larger biases when the trialwave functions errors in the nodes/phase were intentionally driven tounrealistically large values. We also present a formalism that enables todescribe wave functions with the full antisymmetry in spin-spatial degrees offreedom using our recently developed method for systems with spins as fullyquantum variables. This opens new possibilities for simulations of fermionicsystems in the fixed-phase approximation formalism.

Fixed-node and fixed-phase approximations and their relationship to variable spins in quantum Monte Carlo