Generation of continuous-variable cluster states of cylindrically polarized modes

Understand

Cluster states are an essential component in one-way quantum computation protocols.

• We present two schemes to generate addressable continuous-variable cluster states from quadrature squeezed cylindrically polarized modes.
• By including polarization in addition to the transverse spatial degree of freedom, elementary cluster states can be created in which four cluster nodes co-propagate within one paraxial vector beam.
• This approach is fundamentally compatible with existing time-multiplexed schemes that have been used to create the largest cluster states to date.