**ICE1 2014 **Workshop “Información Cuántca en España-1” -
Zaragoza, 2014

Emulation of gravitational waves in curved spacetimes with entangled photon states

^{1}*Department
of Physics & Astronomy, Macquarie University, Australia*

^{2}*ARC
Center for Engineered Quantum Systems, Macquarie University, North
Ryde, New South Wales 2109, Australia*

^{3}*Department
of Physical Chemistry, University of the Basque Country UPV/EHU,
Apartado 644, E-48080 Bilbao, Spain*

^{4}*IKERBASQUE,
Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao,
Spain*

Gravitational waves, as predicted by Einstein’s general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We have formally proved that the propagation of small amplitude gravitational waves in a curved spacetime is equivalent to the propagation of a subspace of electromagnetic tensor waves. This subspace can be realized using entangled photon states. We use the result to propose a path to emulate the propagation of gravitational waves in curved spacetimes by means of experimental electromagnetic setups featuring metamaterials.