Outcome Independence of Entanglement in One-Way Computation

Toshihiko Sasaki, Tsubasa Ichikawa, Izumi Tsutsui

Published 2010-06-20, updated 2012-04-11Version 2

We show that the various intermediate states appearing in the process of one-way computation at a given step of measurement are all equivalent modulo local unitary transformations. This implies, in particular, that all those intermediate states share the same entanglement irrespective of the measurement outcomes, indicating that the process of one-way computation is essentially unique with respect to local quantum operations.