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Phys. Rev. A 76, 052326 (2007) [10 pages]

One-way quantum computation with four-dimensional photonic qudits

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Jaewoo Joo1, Peter L. Knight1, Jeremy L. O’Brien2, and Terry Rudolph1,3
1Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2BW, United Kingdom
2Centre for Quantum Photonics, H. H. Wills Physics Laboratory and Department of Electrical and Electronic Engineering, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol, BS8 1UB, United Kingdom
3Institute for Mathematical Sciences, Imperial College London, London, SW7 2BW, United Kingdom

Received 14 August 2007; published 29 November 2007

We consider the possibility of performing linear optical quantum computations making use of extra photonic degrees of freedom. In particular, we focus on the case where we use photons as quadbits, four-dimensional photonic qudits. The basic 2-quadbit cluster state is a hyperentangled state across polarization and two spatial mode degrees of freedom. We examine the nondeterministic methods whereby such states can be created from single photons and/or Bell pairs and then give some mechanisms for performing higher-dimensional fusion gates.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.052326
DOI:
10.1103/PhysRevA.76.052326
PACS:
03.67.Lx, 03.65.Ud