Parallel-in-time optical simulation of history states
D. O. Pabón, Lorena Rebón, Sebastián Bordakevich, N. Gigena, A. Boette, Claudio Iemmi, R. Rossignoli, Silvia A. Ledesma · Physical Review A · 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.