Physics – Quantum Physics
Scientific paper
2007-02-22
New J. Phys. 9 250 (2007)
Physics
Quantum Physics
16 pages, 10 figures
Scientific paper
10.1088/1367-2630/9/8/250
We extend the notion of quantum information flow defined by Danos and Kashefi for the one-way model and present a necessary and sufficient condition for the deterministic computation in this model. The generalized flow also applied in the extended model with measurements in the X-Y, X-Z and Y-Z planes. We apply both measurement calculus and the stabiliser formalism to derive our main theorem which for the first time gives a full characterization of the deterministic computation in the one-way model. We present several examples to show how our result improves over the traditional notion of flow, such as geometries (entanglement graph with input and output) with no flow but having generalized flow and we discuss how they lead to an optimal implementation of the unitaries. More importantly one can also obtain a better quantum computation depth with the generalized flow rather than with flow. We believe our characterization result is particularly essential for the study of the algorithms and complexity in the one-way model.
Browne Daniel E.
Kashefi Elham
Mhalla Mehdi
Perdrix Simon
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