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We present an algorithm to simulate quantum ferromagnetic transverse-field Ising model.It expands the partition function using path-integral formula and works with a continuous imaginary time direction.The phenomenon of "critical slowing down" is weak,so it can simulate large system which is beneficial for finite size scaling.The critical points of one-dimensional (1D) and two-dimensional (2D) can be determined on very high accuracy through a geometric parameter,called wrapping probability.Besides we find for 1D,the distribution of loop length shows algebraic behavior not only in critical point but also below and little above the critical point.For 2D condition,however,only at the critical point it has critical behavior.We also calculate many other quantities for banchmark.With litte modification the present algorithm can be easily expanded to simulate other quantum spin models..