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.
|Translated title of the contribution||One-way quantum computation with four-dimensional photonic qudits|
|Pages (from-to)||052326-1 - 052326-10|
|Number of pages||10|
|Journal||Physical Review A: Atomic, Molecular and Optical Physics|
|Publication status||Published - Nov 2007|