Parallel-in-time optical simulation of history states

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

Physical Review A

APS

Año: 2019 vol. 99 p. 62633 - 62641

2469-9926

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.