Symmetry-protection of multiphoton states of light

Abstract

In this manuscript we analyze the emergence of protected multiphoton states in scattering problems with cylindrical symmetry. In order to do that, we first provide a formal definition of the concept of postselected symmetry-protection. We show that symmetry-protected states are not limited to one- or two-photon states, on the contrary, it can be formally extended to the multiphoton case. In addition, we prove for the case of cylindrical symmetry that all possible multiphoton protected states are constructed from a small set of one- and two-photon states. Finally, we point out possible applications that symmetry-protected states may have in quantum communications, concretely, in the construction of decoherence-free subspaces.

References in corpus (6)

• Chiral Quantum Optics
• Quantum entanglement of angular momentum states with quantum numbers up to 10010
• Angular momentum-induced circular dichroism in non-chiral nanostructures
• Deterministic Sub-wavelength Control of Light Confinement in Nanostructures
• Boson-sampling with photons of arbitrary spectral structure
• Mode-independent quantum entanglement for light

Cited by in corpus (5)

• Nonlinear Nanoresonators for Bell State Generation
• A Tensor Product Space for Studying the Interaction of Bipartite States of Light with Nanostructures
• On the origin of the Kerker phenomena
• Preservation and destruction of the purity of two-photon states in the interaction with a nanoscatterer
• Bandwidth control of the biphoton wavefunction exploiting spatio-temporal correlations