Bipartite and Tripartite Entanglement of Truncated Harmonic Oscillator Coherent States via Beam Splitters

TL;DR

This paper investigates how beam splitters affect the entanglement properties of truncated harmonic oscillator coherent states, introducing a new algebraic framework and analyzing bipartite and tripartite entanglement.

Contribution

It introduces a truncated Weyl-Heisenberg algebra and analyzes entanglement generation in nonlinear harmonic oscillator states via beam splitters.

Findings

Beam splitters generate significant bipartite entanglement in truncated harmonic oscillator states.

Tripartite entanglement is also achievable with specific beam splitter configurations.

The linear entropy effectively quantifies the entanglement in these quantum networks.

Abstract

We introduce a special class of truncated Weyl-Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.