Preparation of entangled states of two photons in several spatial modes
Karel Lemr, Jaromir Fiurasek

TL;DR
This paper presents a protocol for preparing arbitrary entangled states of two photons across multiple spatial modes, utilizing linear optics, photon pairs, and post-selection, with optimization for success probability.
Contribution
It introduces a novel protocol combining unitary and non-unitary transformations for flexible entangled state preparation in linear optics.
Findings
Protocol successfully prepares arbitrary two-photon states in multiple modes.
Optimization techniques improve the success probability of state preparation.
Feasible scheme for generating entangled states for quantum computing applications.
Abstract
We describe a protocol capable of preparing an arbitrary state of two photons in several spatial modes using pairs of photons generated by spontaneous parametric down-conversion, linear optical elements and single-photon detectors or post-selection. The protocol involves unitary and non-unitary transformations realizable by beam splitters and phase shifters. Non-unitary transformations are implemented by attenuation filters. The protocol contains several optimization capabilities with the goal of improving overall probability of its success. We also show how entangled two-photon states required for quantum computing with linear optics can be prepared using a very simple and feasible scheme.
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