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Extended phase map decompositions for unitaries

Published online by Cambridge University Press:  28 February 2013

VEDRAN DUNJKO  and
ELHAM KASHEFI
VEDRAN DUNJKO
Affiliation:
Department of Physics, Heriot-Watt University, Edinburgh, United Kingdom, and School of Informatics, University of Edinburgh, Edinburgh, United Kingdom Email: vd51@hw.ac.uk
ELHAM KASHEFI
Affiliation:
School of Informatics, University of Edinburgh, Edinburgh, United Kingdom Email: ekashefi@gmail.com
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Abstract

We give a complete structural characterisation of the map implemented by the positive branch of a one-way pattern. Our approach is based on the phase map decomposition (de Beaudrap et al. 2006; de Beaudrap et al. 2008) and leads to some preliminary results on the connection between the column structure of a given unitary and the angles of measurements in a pattern that implements it. Our characterisation highlights the role of entanglement in the efficiency of the simulation of a one-way pattern, and it is a step forward towards a full characterisation of those unitaries that have an efficient one-way model implementation.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 23 , Special Issue 2: Developments In Computational Models 2010 , April 2013 , pp. 360 - 385
Copyright
Copyright © Cambridge University Press 2013

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References

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