Parallel-in-time optical simulation of history states
Abstract
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.
Keywords
Cite
@article{arxiv.1901.04808,
title = {Parallel-in-time optical simulation of history states},
author = {Dudbil Pabón and Lorena Rebón and Sebastián Bordakevich and Nicolás Gigena and Alan Boette and Claudio Iemmi and Raúl Rossignoli and Silvia Ledesma},
journal= {arXiv preprint arXiv:1901.04808},
year = {2019}
}