 Measurement-based algorithms fall into two categories. The first is teleportation quantum computing (based on an idea of Gottesman and Chuang (1999), and developed into a computational model by Nielsen (2003) and Leung (2004)). The second is the “one way quantum computer”, known also as the “cluster state” model (Raussendorf and Briegel 2002). The interesting feature of these models is that they are able to simulate arbitrary quantum dynamics, including unitary dynamics, using basic non-unitary measurements. The measurements are performed on a pool of highly entangled states and are adaptive, i.e., each measurement is done in a different basis which is calculated classically, given the result of earlier measurements.