Entangling photons via the double quantum Zeno effect

TL;DR

This paper introduces a novel scheme for entangling photons using the quantum Zeno effect, which significantly improves efficiency by controlling photon loss and absorption rates, and can be implemented with linear optics.

Contribution

It presents a new entanglement scheme leveraging the quantum Zeno effect with improved error rate conditions and a feasible linear optics implementation.

Findings

Requires specific photon loss and absorption rate ratios for low error probability.

Improves upon previous methods in entangling photons via the quantum Zeno effect.

Proposes a linear optics setup to realize the scheme.

Abstract

We propose a scheme for entangling two photons via the quantum Zeno effect, which describes the inhibition of quantum evolution by frequent measurements and is based on the difference between summing amplitudes and probabilities. For a given error probability $P_{\rm error}$, our scheme requires that the one-photon loss rate $\xi_{1\gamma}$ and the two-photon absorption rate $\xi_{2\gamma}$ in some medium satisfy $\xi_{1\gamma}/\xi_{2\gamma}=2P_{\rm error}^2/\pi^2$, which is significantly improved in comparison to previous approaches. Again based on the quantum Zeno effect, as well as coherent excitations, we present a possibility to fulfill this requirement in an otherwise linear optics set-up.