Parallel-in-time discrete model of quantum evolution in a SLM

PABÓN, D. O.; REBÓN, L.; BORDAKEVICH, S. A.; GIGENA, N.; BOETTE, A.; IEMMI, C.; ROSSIGNOLI, R.; LEDESMA, S. A.

Cancún, Quintana Roo

Conferencia; RIAO-OPTILAS-MOPM 2019; 2019

We present an experimental optical implementation of a parallel-in-time discrete model of quantum evolution, based on the entanglement between the quantum system and a finite dimensional quantum clock. The setup is based on a programmable spatial light modulator which entangles the polarization and transverse spatial degrees of freedom of a single photon. It enables the simulation of a qubit history state containing the whole evolution of the system, capturing its main features in a simple and configurable scheme. We experimentally determine the associated system-time entanglement, which is a measure of distinguishable quantum evolution, and also the time average of observables, which in the present realization can be obtained through one single measurement.