PARALLEL-IN-TIME DISCRETE MODEL OF QUANTUM EVOLUTION IN A SLM

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

Congreso; Reunión Ibero Americana de Óptica 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 (SLM) 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 determinethe 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.