id: 05716799 dt: j an: 05716799 au: de Beaudrap, Niel ti: Unitary-circuit semantics for measurement-based computations. so: Int. J. Quantum Inf. 8, No. 1-2, 1-91 (2010). py: 2010 pu: World Scientific, Singapore la: EN cc: ut: measurement-based computation; unitary circuits; translation ci: li: doi:10.1142/S0219749910006113 ab: Summary: One-Way measurement based Wuantum Computations (1WQC) may describe unitary transformations, via a composition of CPTP maps which are not all unitary themselves. This motivates the following decision problems. Is it possible to determine whether a “quantum-to-quantum" 1WQC procedure (having non-trivial input and output subsystems) performs a unitary transformation? Is it possible to describe precisely how such computations transform quantum states, by translation to a quantum circuit of comparable complexity? In this article, we present an efficient algorithm for transforming certain families of measurement-based computations into a reasonable unitary circuit model, in particular without employing the principle of deferred measurement. rv: