Unifying quantum computation with projective measurements only and one-way quantum computation

Philippe Jorrand; Simon Perdrix

doi:10.1117/12.620302

1 June 2005 Unifying quantum computation with projective measurements only and one-way quantum computation

Philippe Jorrand, Simon Perdrix

Proceedings Volume 5833, Quantum Informatics 2004; (2005) https://doi.org/10.1117/12.620302
Event: 18th International Conference on Photoelectronics and Night Vision Devices and Quantum Informatics 2004, 2004, Moscow, Russian Federation

Abstract

Quantum measurement is universal for quantum computation. Two models for performing measurement-based quantum computation exist: the one-way quantum computater was introduced by Briegel and Raussendorf and quantum computation via projective measurements only by Nielsen. The more recent development of this second model is based on state transfers instead of teleportation. From this development a finite but approximate quantum universal family of observables is exhibited which includes only one two-qubit observable while others are one-qubit observables. In this article an infinite but exact quantum universal family of observables is proposed including also only one two-qubit observable. The rest of the paper is dedicated to compare these two models of measurement-based quantum computation i.e. one-way quantum computation and quantum computation via projective measurements only. From this comparison which was initiated by Cirac and Verstraete closer and more natural connections appear between these two models. These close connections lead to a unified view of measurement-based quantum computation.

Citation Download Citation

Philippe Jorrand and Simon Perdrix "Unifying quantum computation with projective measurements only and one-way quantum computation", Proc. SPIE 5833, Quantum Informatics 2004, (1 June 2005); https://doi.org/10.1117/12.620302

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