title: Universality of quantum computation with cluster states and (X, Y)-plane measurements.
abstract: Measurement-based quantum computing (MBQC) is a model of quantum computation where quantum information is coherently processed by means of projective measurements on highly entangled states. Following the introduction of MBQC, cluster states have been studied extensively both from the theoretical and experimental point of view. Indeed, the study of MBQC was catalysed by the realisation that cluster states are universal for MBQC with (X, Y)-plane and Z measurements. Here we examine the question of whether the requirement for Z measurements can be dropped while maintaining universality. We answer this question in the affirmative by showing that universality is possible in this scenario.
authors.affiliation: Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore.
authors.forename: Atul
authors.initials: A
authors.lastname: Mantri
authors.affiliation: Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore.
authors.forename: Tommaso F
authors.initials: TF
authors.lastname: Demarie
authors.affiliation: Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore.|Centre for Quantum Technologies, National University of Singapore, Block S15, 3 Science Drive 2, Singapore 117543, Singapore.
authors.forename: Joseph F
authors.initials: JF
authors.lastname: Fitzsimons