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We show how the worldline quantum Monte Carlo procedure, which usually relieson an artificial time discretization, can be formulated directly in continuoustime, rendering the scheme exact. For an arbitrary system with discrete Hilbertspace, none of the configuration update procedures contain small parameters. Wefind that the most effective update strategy involves the motion of worldlinediscontinuities (both in space and time), i.e., the evaluation of the Green'sfunction. Being based on local updates only, our method nevertheless allows oneto work with the grand canonical ensemble and non-zero winding numbers, and tocalculate any dynamic correlation function as easily as expectation values of,e.g., total energy. The principles found for the update in continuous timegeneralize to any continuous variables in the space of discrete virtualtransitions, and in principle also make it possible to simulate continuoussystems exactly.Comment: revtex, 14 pages, 6 figures, published version (modified and  extended

Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems